Homogeneity of a Distance-Regular Graph Which Supports a Spin Model

Journal of Algebraic Combinatorics ◽

10.1023/b:jaco.0000030702.58352.f7 ◽

2004 ◽

Vol 19 (3) ◽

pp. 257-272 ◽

Author(s):

Brian Curtin ◽

Kazumasa Nomura

Keyword(s):

Regular Graph ◽

Distance Regular Graph

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The Terwilliger Algebra of a Distance-Regular Graph that Supports a Spin Model

Journal of Algebraic Combinatorics ◽

10.1007/s10801-005-6913-1 ◽

2005 ◽

Vol 21 (3) ◽

pp. 289-310 ◽

Author(s):

John S. Caughman ◽

Nadine Wolff

Keyword(s):

Regular Graph ◽

Terwilliger Algebra ◽

Distance Regular Graph

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The largest Moore graph and a distance regular graph with intersection array ${55,54,2;1,1,54}$

Algebra i logika ◽

10.33048/alglog.2020.59.404 ◽

2020 ◽

Vol 59 (4) ◽

pp. 471-479

Author(s):

A. A. Makhnev ◽

D. V. Paduchikh

Keyword(s):

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph ◽

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A combinatorial basis for Terwilliger algebra modules of a bipartite distance-regular graph

Discrete Mathematics ◽

10.1016/j.disc.2021.112393 ◽

2021 ◽

Vol 344 (7) ◽

pp. 112393

Author(s):

Mark S. MacLean ◽

Safet Penjić

Keyword(s):

Regular Graph ◽

Terwilliger Algebra ◽

Distance Regular Graph

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On automorphisms of a distance-regular graph with intersection array {15, 12, 1; 1, 4, 15}

Doklady Mathematics ◽

10.1134/s1064562415010123 ◽

2015 ◽

Vol 91 (1) ◽

pp. 37-40

Author(s):

V. P. Burichenko ◽

A. A. Makhnev

Keyword(s):

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

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Yet Another Distance Regular Graph Related to a Golay Code

The Electronic Journal of Combinatorics ◽

10.37236/1220 ◽

1995 ◽

Vol 2 (1) ◽

Author(s):

Leonard H. Soicher

Keyword(s):

Automorphism Group ◽

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph ◽

Transitive Graph

We describe a new distance-regular, but not distance-transitive, graph. This graph has intersection array $\{110,81,12;1,18,90\}$, and automorphism group $M_{22}\colon 2$.

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On Automorphisms of a Distance-Regular Graph with Intersection Array {125, 96, 1; 1, 48, 125}

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080218030058 ◽

2018 ◽

Vol 39 (3) ◽

pp. 458-463

Author(s):

V. V. Bitkina ◽

A. A. Makhnev

Keyword(s):

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

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On Distance-Regular Graph with $$ c_{r + 2} = 3 $$ c r + 2 = 3

Lecture Notes in Electrical Engineering - Proceedings of the 9th International Symposium on Linear Drives for Industry Applications, Volume 3 ◽

10.1007/978-3-642-40633-1_69 ◽

2013 ◽

pp. 553-557

Author(s):

Junhong Ma ◽

Shuming Guan

Keyword(s):

Regular Graph ◽

Distance Regular Graph

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Automorphisms of a Distance-Regular Graph with Intersection Array {176, 135, 32, 1; 1, 16, 135, 176}

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543819040114 ◽

2019 ◽

Vol 305 (S1) ◽

pp. S102-S113

Author(s):

A. A. Makhnev ◽

D. V. Paduchikh

Keyword(s):

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

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The Terwilliger polynomial of a Q-polynomial distance-regular graph and its application to pseudo-partition graphs

Linear Algebra and its Applications ◽

10.1016/j.laa.2014.09.048 ◽

2015 ◽

Vol 466 ◽

pp. 117-140 ◽

Author(s):

Alexander L. Gavrilyuk ◽

Jack H. Koolen

Keyword(s):

Regular Graph ◽

Distance Regular Graph

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A Group Commutator Involving the Last Distance Matrix and Dual Distance Matrix of a Q-Polynomial Distance-Regular Graph: The Hamming Graph Case

Graphs and Combinatorics ◽

10.1007/s00373-018-1915-7 ◽

2018 ◽

Vol 34 (4) ◽

pp. 803-817

Author(s):

Siwaporn Mamart

Keyword(s):

Regular Graph ◽

Distance Matrix ◽

Distance Regular Graph ◽

Hamming Graph ◽

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