Via Coauthors

For publications with known coauthor, select coauthor here.

S. Anacker, R.D. Baker, A.E. Brouwer, M.D.E. Conder, G. Ebert, I.A. Faradzev, Z. Furedi, M. Hazewinkel, J. Hemmeter, A.A. Ivanov, M.H. Klin, P. Klingsberg, N. Kriger, F. Lazebnik, D.M. Mesner, M. Muzychuk, C. Pech, O. Pikhurko, R. Poeschel, S. Reichard, A. Seress, R. Solomon, P.C. Soules, G. Tinhofer, V.A. Ustimenko, R.A. Wilson, P.-H. Zieschang, M. Ziv-Av

Publications

A. Woldar, On the 5-decomposition matrix of McLaughlin's sporadic simple group, Comm. in Algeb. 14 (2) (1986), 277-291.

A. Woldar, On the maximal subgroups of Lyons' group, Comm. in Algeb. 15 (6) (1987), 1195-1203.

A. Woldar, A combinatorial approach to the character theory of split metabelian groups, J. Combin. Theory Series A 50 (1) (1989), 100-109.

A. Woldar, Genus actions of finite simple groups, Ill. J. Math. 33 (3) (1989), 438-450.

A. Woldar, On Hurwitz generation and genus actions of sporadic groups, Ill. J. Math. 33 (3) (1989), 416-437.

A. Woldar, Representing M11,  M12, M22, and M23 on surfaces of least genus, Comm. in Algeb. 18 (1) (1990), 15-86.

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, Irregularity strengths for certain graphs, Congress. Numer. 71 (1990), 39-52.

J. Hemmeter and A. Woldar, On the maximal cliques of the quadratic forms graph in even characteristic, Europ. J. Combin. 11 (1990), 119-126.

J. Hemmeter and A. Woldar, Classification of the maximal cliques of size ³ q+4 in the quadratic forms graph in odd characteristic, Europ. J. Combin. 11 (1990), 433-449.

S. Anacker and A. Woldar, Reconstruction of separable graphs with large branch size, Congress. Numer. 72 (1990), 253-254.

J. Hemmeter and A. Woldar, Fusion schemes and partially balanced incomplete block designs, Ars Combinatoria 31 (1991), 229-236.

A.J. Woldar, Sporadic simple groups which are Hurwitz, J. Algeb. 144 (2) (1991), 443-450.

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, On the number of irregular assignments on a graph, Discrete Math. 93 (1991), 131-142.

A.J. Woldar, The symmetric genus of the Higman-Sims group HS and bounds for Conway's groups Co1, Co2, Ill. J. Math. 36 (1) (1992), 47-52.

M.D.E. Conder, R.A. Wilson, and A.J. Woldar, The symmetric genus of sporadic groups, Proc. Amer. Math. Soc. 116 (3) (1992), 653-663.

P. Klingsberg and A.J. Woldar, Nested permutations, Bull. Inst. Combin. and its Applic. 8 (1993), 61-74.

V.A. Ustimenko and A.J. Woldar, An application of group theory to extremal graph theory, in "Group Theory: Proceedings of the Biennial Ohio State-Denison Conference," World Scientific Publ., 293-298, 1993.

M.D.E. Conder, R.A. Wilson, and A.J. Woldar, The symmetric genus of sporadic groups: Announced results, in "Coding Theory, Design Theory, Group Theory: Proceedings of the Marshall Hall Conference," J. Wiley & Sons, 163-169, 1993.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A New Series of Dense Graphs of Large Girth, RUTCOR  Research Report. RRR 99-93, December 1993.

A.J. Woldar, 3/2-Generation of sporadic groups. Comm. in Algeb. 22 (2) (1994), 675-685.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, Properties of certain families of 2k-cycle free graphs, J. Combin. Theory Series B 60 (2) (1994), 293-298.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, New constructions of bipartite graphs on m, n vertices, with many edges, and without small cycles, J. Combin. Theory Series B 61 (1) (1994), 111-117.

I.A. Faradzev, A.A. Ivanov, M.H. Klin, and A.J. Woldar (editors), "Investigations in Algebraic Theory of Combinatorial Objects," Kluwer Publ., Dordrecht, 1994.

A.J. Woldar, On the symmetric genus of simple groups, J. Ulam Quart. 3 (1) (1994), 1-13.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A new series of dense graphs of high girth, Bull. Amer. Math. Soc. 32 (1) (1995), 73-79.

V.A. Ustimenko and A.J. Woldar, An improvement on the Erdos bound for graphs of girth 16, Contemporary Math. 184 (1995), 419-425.

A.E. Brouwer, J. Hemmeter. and A.J. Woldar, The complete list of maximal cliques of Quad(n,q), q odd, Europ. J. Combin. 16 (1995), 107-110.

Z. Furedi, F. Lazebnik, A. Seress, V.A. Ustimenko, and A.J. Woldar, Graphs of prescribed girth and bi-degree, J. Combin. Theory Series B 64 (2) (1995), 228-239.

A.J. Woldar, A reduction theorem on purely singular splittings of cyclic groups, Proc. Amer. Math. Soc. 123 (10) (1995), 2955-2959.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A characterization of the components of the graphs D(k,q), Discrete Math. 157 (1996), 271-283.

R.D. Baker, G. Ebert, J. Hemmeter, and A.J. Woldar, Maximal cliques in the Paley graph of square order, J. Statist. Plan. Infer. 56 (1996), 33-38.

P.C. Soules and A.J. Woldar, Representing the sporadic groups as noncentral automorphisms of p-groups, J. Algebra 185 (1996), 258-265.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, New upper bounds on the order of cages, Electronic J. Combin. 4 (2) (1997).

S.E. Anacker and A.J. Woldar, Reconstructibility of graphs with a large branch: Permutation group theory and graph reconstruction, Acta Applic. Math. 52 (1) (1998), 19-30, in: "Algebra and Combinatorics: Interactions and Applications" (M. Hazewinkel, A.A. Ivanov, and A.J. Woldar, editors), Acta Applic. Math. 52 (1|3), Kluwer Acad. Publ., Dordrecht, Netherlands, 1998, 330pp.

M. Hazewinkel, A.A. Ivanov, and A.J. Woldar (editors), "Algebra and Combinatorics: Interactions and Applications," Acta Applic. Math. 52 (1|3) Kluwer Acad. Publ., Dordrecht, Netherlands, 1998, 330pp.

J. Hemmeter, V.A. Ustimenko, and A.J. Woldar, Orbital schemes of B3(q) acting on 2-dimensional totally isotropic subspaces, Europ. J. Combin. 19 (1998), 487-498.

J. Hemmeter and A.J. Woldar, The complete list of maximal cliques of Quad(n,q), q even , Europ. J. Combin. 20, (1999), 81-85.

F. Lazebnik and A.J. Woldar, General properties of some families of algebraically defined graphs, Research Report. University of Delaware, May, 1999.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, Polarities and 2k-cycle free graphs, Discrete Math. 197|198 (1999), 503-513.

F. Lazebnik and A.J. Woldar, New lower bounds on the multicolor Ramsey numbers Rk(C4), J. Combin. Theory Series B 79 (2) (2000), 172-176.

F. Lazebnik and A.J. Woldar, General properties of some families of graphs defined by systems of equations, J. Graph Theory 38 (2001), 65-86,

A.J. Woldar, Rainbow graphs, in: Codes and Designs, (K.T. Arasu and A. Seress, editors), deGruyter, Berlin, 2002.

A.J. Woldar, Coordinatized graphs: Interplay between graphical properties and adjacency systems, in: Proc. of SSGRR S2002 Conference on Infrastructure of the Internet, Telecom, Italia, CD Rom.

V.A. Ustimenko and A.J. Woldar, Extremal properties of regular and affine generalized polygons as tactical configurations, European J. Combinatorics 23 (2003),99-111.

M. Klin, S. Reichard and A. Woldar, Siamese objects, and their relation to color graphs, association schemes and Steiner systems, Bull. Belgian Math. Soc. vol.12, no.5 (2005), 845-857.

M. Klin, M. Muzychuk, C. Pech, A. Woldar and P.-H. Zieschang, Association schemes on 28 points as fusions of a half-homogeneous coherent configuration. Europ. J. Combin. 28(7) (2007), 1994-2025.

A.J. Woldar, The exact spread of the Mathieu group M_{11}, J. Group Theory. 10 (2007), 167-171.

F. Lazebnik, O. Pikhurko and A.J. Woldar, Maximum number of colorings of (2k,k^2)-graphs, J. Graph Theory. 56(2) (2007), 135-148.

M. Klin, S. Reichard and A. Woldar, Siamese combinatorial objects via computer algebra experimentation, in (eds. M. Klin, G.A. Jones, A. Jurisic, M. Muzychuk, I. Ponomarenko) Algorithmic Algebraic Combinatorics and Grobner Bases, Springer, Berlin-New York-London, 2009. pp. 67-112.

A.J. Woldar, On generalizing generalized polygons, Innovations Incidence Geom 10 (2010).

M. Klin, D. Mesner, and A.J Woldar. A combinatorial approach to transitive extensions of generously unitransitive permutation groups. Journal of Combinatorial Designs 18 (5) (2010) 369-391.

M. Klin, C. Pech, S, Reichard, A. Woldar and M. Ziv-Av. Examples of computer experimentation in algebraic combinatorics, Ars Mathematica Contemporanea 3 (2010), 237-258.

M. Klin and A.J. Woldar, Dale Mesner, Higman & Sims, and the strongly regular graph with parameters (100,22,0,6), Bulletin ICA 63 (2012), 13-35.

M.E. Muzychuk and A.J. Woldar, Some words on the mathematical heritage of Dima Fon-Der-Flaass. in: "Dima Fon-Der-Flaass," Sobolev Institute of Mathematics, SB RAS 2010, Novosibirsk Academic Publ., pp.148-153 (English); pp. 154-160 (Russian).

M. Klin, N. Kriger and A. Woldar, Classification of highly symmetrical loops of order 2p, p a prime, Beitrage zur Algebra und Geometrie (2012) 1-24, DOI 10. 1007/s 13366 012 0132-4.

R. Solomon and A.J. Woldar, Simple groups are characterized by their non-commuting graphs, Journal of Group Theory, ISSN (online) 1435-4446, ISSN (print) 1433-5883, DOI: 101515/jgt-2013-0023 (2013).

M. Klin, N. Kriger and A. Woldar, On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters, Journal of Geometry 107(2) (2016), 329-356.

V.A. Ustimenko and A.J. Woldar, A geometric approach to orbital recognition in Chevalley-type coherent configurations and association schemes, Australasian Journal of Combinatorics 67(2) (2017), 166-202.

M. Klin, S. Reichard and A. Woldar, Siamese association schemes and Siamese Steiner designs. I, Fundamental concepts, in preparation.

M. Klin, S. Reichard and A. Woldar, Siamese association schemes and Siamese Steiner designs. II, Objects on 15 points, in preparation.

M.H. Klin and A.J. Woldar, On 4-isoregular graphs. II, 4-isoregularity of the McLaughlin graph, in preparation.

M.H. Klin, M. Muzychuk, and A.J. Woldar, Circulant graphs via S-ring theory, in preparation.

M.H. Klin and A.J. Woldar, "Coherent Algebras, Association Schemes, Schur Rings, and Symmetry of Graphs," in preparation.

M. Klin, R. Poeschel, and A.J. Woldar, "An Introduction to Algebraic Combinatorics: Permutation Groups and their Applications to Graph Theory and Combinatorics," in preparation.

V.A. Ustimenko and A.J. Woldar, Distance-regular graphs and the expansion property, in preparation.

M.H. Klin, G. Tinhofer, and A.J. Woldar, Coherent algebras: An introduction, in preparation.

M. Klin, S. Reichard, and A.J. Woldar, A simple group of order 504, its automorphism group, and related combinatorial structures, in preparation.

M. Klin, D. Mesner, and A.J Woldar. On the combinatorics of certain classes of transitive extensions, preprint.

M. Klin  and A.J. Woldar,The strongly regular graph with parameters (100,22,0,6): Hidden history and beyond. preprint.

V.A. Ustimenko and A.J. Woldar, Recognition of orbitals of geometric actions of Chevalley groups, 2000, preprint.

Steven Anacker

S. Anacker and A. Woldar, Reconstruction of separable graphs with large branch size, Congress. Numer. 72 (1990), 253-254.

S.E. Anacker and A.J. Woldar, Reconstructibility of graphs with a large branch: Permutation group theory and graph reconstruction, Acta Applic. Math. 52 (1) (1998), 19-30, in: "Algebra and Combinatorics: Interactions and Applications" (M. Hazewinkel, A.A. Ivanov, and A.J. Woldar, editors), Acta Applic. Math. 52 (1|3), Kluwer Acad. Publ., Dordrecht, Netherlands, 1998, 330pp.

Ron D. Baker

R.D. Baker, G. Ebert, J. Hemmeter,and A.J. Woldar, Maximal cliques in the Paley graph of square order, J. Statist. Plan. Infer. 56 (1996), 33-38.

Andries Brouwer

A.E. Brouwer, J. Hemmeter. and A.J. Woldar, The complete list of maximal cliques of Quad(n,q), q odd, Europ. J. Combin. 16 (1995), 107-110.

Marston Conder

M.D.E. Conder, R.A. Wilson, and A.J. Woldar, The symmetric genus of sporadic groups, Proc. Amer. Math. Soc. 116 (3) (1992), 653-663.

M.D.E. Conder, R.A. Wilson, and A.J. Woldar, The symmetric genus of sporadic groups: Announced results, in "Coding Theory, Design Theory, Group Theory: Proceedings of the Marshall Hall Conference," J. Wiley & Sons, 163-169, 1993.

Gary Ebert

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, Irregularity strengths for certain graphs, Congress. Numer. 71 (1990), 39-52.

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, On the number of irregular assignments on a graph, Discrete Math. 93 (1991), 131-142.

Igor Faradzev

I.A. Faradzev, A.A. Ivanov, M.H. Klin, and A.J. Woldar (editors), "Investigations in Algebraic Theory of Combinatorial Objects," Kluwer Publ., Dordrecht, 1994. 

Zoltan Furedi

Z. Furedi, F. Lazebnik, A. Seress, V.A. Ustimenko, and A.J. Woldar, Graphs of prescribed girth and bi-degree, J. Combin. Theory Series B 64 (2) (1995), 228-239. 

Michiel Hazewinkel

M. Hazewinkel, A.A. Ivanov, and A.J. Woldar (editors), "Algebra and Combinatorics: Interactions and Applications," Acta Applic. Math. 52 (1|3) Kluwer Acad. Publ., Dordrecht, Netherlands, 1998, 330pp.  

Joe Hemmeter

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, Irregularity strengths for certain graphs, Congress. Numer. 71 (1990), 39-52.

J. Hemmeter and A. Woldar, On the maximal cliques of the quadratic forms graph in even characteristic, Europ. J. Combin. 11 (1990), 119-126.

J. Hemmeter and A. Woldar, Classification of the maximal cliques of size q+4 in the quadratic forms graph in odd characteristic, Europ. J. Combin. 11 (1990), 433-449.

J. Hemmeter and A. Woldar, Fusion schemes and partially balanced incomplete block designs, Ars Combinatoria 31 (1991), 229-236.

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, On the number of irregular assignments on a graph, Discrete Math. 93 (1991), 131-142.

A.E. Brouwer, J. Hemmeter. and A.J. Woldar, The complete list of maximal cliques of Quad(n,q), q odd, Europ. J. Combin. 16 (1995), 107-110.

R.D. Baker, G. Ebert, J. Hemmeter, and A.J. Woldar, Maximal cliques in the Paley graph of square order, J. Statist. Plan. Infer. 56 (1996), 33-38.

J. Hemmeter, V.A. Ustimenko, and A.J. Woldar, Orbital schemes of B3(q) acting on 2-dimensional totally isotropic subspaces, Europ. J. Combin. 19 (1998), 487-498.

J. Hemmeter and A.J. Woldar, The complete list of maximal cliques of Quad(n,q), q even , Europ. J. Combin. 20, (1999), 81-85.

Alexander A. Ivanov

I.A. Faradzev, A.A. Ivanov, M.H. Klin, and A.J. Woldar (editors), "Investigations in Algebraic Theory of Combinatorial Objects," Kluwer Publ., Dordrecht, 1994.

M. Hazewinkel, A.A. Ivanov, and A.J. Woldar (editors), "Algebra and Combinatorics: Interactions and Applications," Acta Applic. Math. 52 (1|3) Kluwer Acad. Publ., Dordrecht, Netherlands, 1998, 330pp.

Mikhail Klin

I.A. Faradzev, A.A. Ivanov, M.H. Klin, and A.J. Woldar (editors), "Investigations in Algebraic Theory of Combinatorial Objects," Kluwer Publ., Dordrecht, Netherlands, 1994. 

M. Klin, S. Reichard and A. Woldar, Siamese objects, and their relation to color graphs, association schemes and Steiner systems, Bull. Belg. Math. Soc. 12 (2005) 845-857.

M. Klin, M. Muzychuk, C. Pech, A. Woldar and P.-H. Zieschang, Association schemes on 28 points as fusions of a half-homogeneous coherent configuration. Europ. J. Combin. 28(7) (2007), 1994-2025.

M. Klin, S. Reichard and A. Woldar, Siamese combinatorial objects via computer algebra experimentation, iin (eds. M. Klin, G.A. Jones, A. Jurisic, M. Muzychuk, I. Ponomarenko) Algorithmic Algebraic Combinatorics and Grobner Bases, Springer, Berlin-New York-London, 2009. pp. 67-112. .

M. Klin, C. Pech, S, Reichard, A. Woldar and M. Ziv-Av, Examples of computer experimentation in algebraic combinatorics, Ars Mathematica Contemporanea 3 (2010), 237-258..

M. Klin, D. Mesner, and A.J Woldar. A combinatorial approach to transitive extensions of generously unitransitive permutation groups. Journal of Combinatorial Designs 18 (5), (2010) 369-391.

M. Klin  and A.J. Woldar, Dale Mesner, Higman & Sims, and the strongly regular graph with parameters (100,22,0,6). Bulletin ICA 63 (2012), 13-35.

M. Klin, N. Kriger and A. Woldar. Classification of highly symmetrical loops of order 2p, p a prime, Beitrage zur Algebra und Geometrie (2012) 1-24, DOI 10.1007/s 13366 012 0132-4.

M. Klin, N. Kriger and A. Woldar, On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters, Journal of Geometry 107(2) (2016), 329-356.

M. Klin, A.J. Woldar and M. Ziv-Av The strongly regular graph with parameters (100,22,0,6): Hidden history and beyond, preprint.

M. Klin, D. Mesner, and A.J Woldar. On the combinatorics of certain classes of transitive extensions, preprint.

M. Klin, S. Reichard and A. Woldar, Siamese association schemes and Siamese Steiner designs. I, Fundamental concepts, in preparation.

M. Klin, S. Reichard and A. Woldar, Siamese association schemes and Siamese Steiner designs. II, Objects on 15 points, in preparation.

M.H. Klin and A.J. Woldar, On 4-isoregular graphs. II, 4-isoregularity of the McLaughlin graph, in preparation.

M.H. Klin, M. Muzychuk, and A.J. Woldar, Circulant graphs via S-ring theory, in preparation.

M.H. Klin and A.J. Woldar, "Coherent Algebras, Association Schemes, Schur Rings, and Symmetry of Graphs," in preparation.

M. Klin, R. Poeschel, and A.J. Woldar, "An Introduction to Algebraic Combinatorics: Permutation Groups and their Applications to Graph Theory and Combinatorics," in preparation.

M.H. Klin, G. Tinhofer, and A.J. Woldar, Coherent algebras: An introduction, in preparation.

M. Klin, S. Reichard, and A.J. Woldar, A simple group of order 504, its automorphism group, and related combinatorial structures, in preparation.

Paul Klingsberg

P. Klingsberg and A.J. Woldar, Nested permutations, Bull. Inst. Combin. and its Applic. 8 (1993), 61-74. 

Nimrod Kriger

M. Klin, N. Kriger and A. Woldar. Classification of highly symmetrical loops of order 2p, p a prime, Beitrage zur Algebra und Geometrie (2012), 1-24, DOI 10.1007/s 13366 012 0132-4.

M. Klin, N. Kriger and A. Woldar, On the existence of self-complementary and non-self-complementary strongly regular graphs with Paley parameters, Journal of Geometry 107(2) (2016), 329-356.

Felix Lazebnik

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, Irregularity strengths for certain graphs, Congress. Numer. 71 (1990), 39-52.

G. Ebert, J. Hemmeter, F. Lazebnik, and A. Woldar, On the number of irregular assignments on a graph, Discrete Math. 93 (1991), 131-142.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A New Series of Dense Graphs of Large Girth, RUTCOR Research Report, RRR 99-93, December 1993.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, Properties of certain families of 2k-cycle free graphs, J. Combin. Theory Series B 60 (2) (1994), 293-298.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, New constructions of bipartite graphs on m, n vertices, with many edges, and without small cycles, J. Combin. Theory Series B 61 (1) (1994), 111-117.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A new series of dense graphs of high girth, Bull. Amer. Math. Soc. 32 (1) (1995), 73-79.

Z. Füredi, F. Lazebnik, À. Seress, V.A. Ustimenko, and A.J. Woldar, Graphs of prescribed girth and bi-degree, J. Combin. Theory Series B 64 (2) (1995), 228-239.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A characterization of the components of the graphs D(k,q), Discrete Math. 157 (1996), 271-283.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, New upper bounds on the order of cages, Electronic J. Combin. 4 (2) (1997).

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, Polarities and 2k-cycle free graphs, Discrete Math. 197|198 (1999), 503-513.

F. Lazebnik and A.J. Woldar, General properties of some families of algebraically defined graphs, Research Report, University of Delaware, May, 1999.

F. Lazebnik and A.J. Woldar, New lower bounds on the multicolor Ramsey numbers Rk(C4), J. Combin. Theory Series B 79 (2) (2000), 172-176.

F. Lazebnik and A.J. Woldar, General properties of some families of graphs defined by systems of equations, J. Graph Theory 38 (2001), 65-86,

F. Lazebnik, O. Pikhurko and A.J. Woldar, Maximum number of colorings of (2k,k^2)-graphs, J. Graph Theory. 56(2) (2007), 135-148.

Dale Mesner

M. Klin, D. Mesner, A. Woldar. A combinatorial approach to transitive extensions of generously unitransitive permutation groups. Journal of Combinatorial Designs 18 (5), (2010) 369-391.

M. Klin, D. Mesner, and A.J Woldar. On the combinatorics of certain classes of transitive extensions, preprint.

Mikhail Muzychuk

M. Klin, M. Muzychuk, C. Pech, A. Woldar and P.-H. Zieschang, Association schemes on 28 points as fusions of a half-homogeneous coherent configuration.Europ. J. Combin. 28(7) (2007), 1994-2025.

M.E. Muzychuk and A.J. Woldar, Some words on the mathematical heritage of Dima Fon-Der-Flaass. in: "Dima Fon-Der-Flaass," Sobolev Institute of Mathematics, SB RAS 2010, Novosibirsk Academic Publ., pp.148-153 (English); pp. 154-160 (Russian).

M.H. Klin, M. Muzychuk, and A.J. Woldar, Circulant graphs via S-ring theory, in preparation.

Christian Pech

M. Klin, M. Muzychuk, C. Pech, A. Woldar and P.-H. Zieschang, Association schemes on 28 points as fusions of a half-homogeneous coherent configuration. Europ. J. Combin. 28(7) (2007), 1994-2025.

M. Klin, C. Pech, S, Reichard, A. Woldar and M. Ziv-Av. Examples of computer experimentation in algebraic combinatorics, Ars Mathematica Contemporanea 3 (2010), 237-258.

Oleg Pikhurko

F. Lazebnik, O. Pikhurko and A.J. Woldar, Maximum number of colorings of (2k,k^2)-graphs, J. Graph Theory. 56(2) (2007), 135-148.

Reinhard Poeschel

M. Klin, R. Poeschel, and A.J. Woldar, "An Introduction to Algebraic Combinatorics: Permutation Groups and their Applications to Graph Theory and Combinatorics," in preparation.

Sven Reichard

M. Klin, S. S. Reichard and A. Woldar, Siamese objects, and their relation to color graphs, association schemes and Steiner systems, Bull. Belg. Math. Soc. 12 (2005) 845-857.

M. Klin, S. Reichard and A. Woldar, Siamese combinatorial objects via computer algebra experimentation, in (eds. M. Klin, G.A. Jones, A. Jurisic, M. Muzychuk, I. Ponomarenko) Algorithmic Algebraic Combinatorics and Grobner Bases, Springer, Berlin-New York-London, 2009. pp. 67-112.

M. Klin, C. Pech, S. Reichard, A. Woldar and M. Ziv-Av, Examples of computer experimentation in algebraic combinatorics, Ars Mathematica Contemporanea 3 (2010), 237-258.

M. Klin, S. Reichard and A. Woldar, Siamese association schemes and Siamese Steiner designs. I, Fundamental concepts, in preparation.

M. Klin, S. Reichard and A. Woldar, Siamese association schemes and Siamese Steiner designs. II, Objects on 15 points, in preparation.

M. Klin, S. Reichard, and A.J. Woldar, A simple group of order 504, its automorphism group, and related combinatorial structures, in preparation.

Akos Seress

Z. Furedi, F. Lazebnik, A. Seress, V.A. Ustimenko, and A.J. Woldar, Graphs of prescribed girth and bi-degree, J. Combin. Theory Series B 64 (2) (1995), 228-239. 

Ron Solomon

R. Solomon and A.J. Woldar, Simple groups are characterized by their non-commuting graphs, Journal of Group Theory, ISSN (online) 1435-4446, ISSN (print) 1433-5883, DOI: 101515/jgt-2013-0023 (2013).

Panagiotis Soules

P.C. Soules and A.J. Woldar, Representing the sporadic groups as noncentral automorphisms of p-groups, J. Algebra 185 (1996), 258-265. 

Gottfried Tinhofer

M.H. Klin, G.Tinhofer, and A.J. Woldar, Coherent algebras: An introduction, in preparation.

Vasyl Ustimenko

V.A. Ustimenko and A.J. Woldar, An application of group theory to extremal graph theory, in "Group Theory: Proceedings of the Biennial Ohio State-Denison Conference," World Scientific Publ., 293-298, 1993. 

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A New Series of Dense Graphs of Large Girth, RUTCOR Research Report, RRR 99-93, December 1993.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, Properties of certain families of 2k-cycle free graphs, J. Combin. Theory Series B 60 (2) (1994), 293-298.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, New constructions of bipartite graphs on m, n vertices, with many edges, and without small cycles, J. Combin. Theory Series B 61 (1) (1994), 111-117.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A new series of dense graphs of high girth, Bull. Amer. Math. Soc. 32 (1) (1995), 73-79.

V.A. Ustimenko and A.J. Woldar, An improvement on the Erdos bound for graphs of girth 16, Contemporary Math. 184 (1995), 419-425.

Z. Füredi, F. Lazebnik, À. Serres, V.A. Ustimenko, and A.J. Woldar, Graphs of prescribed girth and bi-degree, J. Combin. Theory Series B 64 (2) (1995), 228-239.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, A characterization of the components of the graphs D(k,q), Discrete Math. 157 (1996), 271-283.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, New upper bounds on the order of cages, Electronic J. Combin. 4 (2) (1997).

J. Hemmeter, V.A. Ustimenko, and A.J. Woldar, Orbital schemes of B3(q) acting on 2-dimensional totally isotropic subspaces, Europ. J. Combin. 19 (1998), 487-498.

F. Lazebnik, V.A. Ustimenko, and A.J. Woldar, Polarities and 2k-cycle free graphs, Discrete Math. 197|198 (1999), 503-513.

V.A. Ustimenko and A.J. Woldar, Recognition of orbitals of geometric actions of Chevalley groups, 2000, preprint.

V.A. Ustimenko and A.J. Woldar, Distance-regular graphs and the expansion property, in preparation.

V.A. Ustimenko and A.J. Woldar, Extremal properties of regular and affine generalized polygons as tactical configurations, European J. Combinatorics 23 (2003), 99-111.

V.A. Ustimenko and A.J. Woldar, A geometric approach to orbital recognition in Chevalley-type coherent configurations and association schemes, Australasian Journal of Combinatorics 67(2) (2017), 166-202.

Robert A. Wilson

M.D.E. Conder, R.A. Wilson, and A.J. Woldar, The symmetric genus of sporadic groups, Proc. Amer. Math. Soc. 116 (3) (1992), 653-663.

M.D.E. Conder, R.A. Wilson, and A.J. Woldar, The symmetric genus of sporadic groups: Announced results, in "Coding Theory, Design Theory, Group Theory: Proceedings of the Marshall Hall Conference," J. Wiley & Sons, 163-169, 1993.  

Paul-Hermann Zieschang

M. Klin, M. Muzychuk, C. Pech, A. Woldar and P.-H. Zieschang, Association schemes on 28 points as fusions of a half-homogeneous coherent configuration. Europ. J. Combin. 28(7) (2007), 1994-2025.

Matan Ziv-Av

M. Klin, C. Pech, S, Reichard, A. Woldar and M. Ziv-Av. Examples of computer experimentation in algebraic combinatorics, Ars Mathematica Contemporanea 3 (2010), 237-258.

 

 

 

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