The Terwilliger algebra of a distance-regular graph of negative type

Linear Algebra and its Applications ◽

10.1016/j.laa.2008.07.013 ◽

2009 ◽

Vol 430 (1) ◽

pp. 251-270 ◽

Author(s):

Štefko Miklavič

Keyword(s):

Regular Graph ◽

Terwilliger Algebra ◽

Distance Regular Graph ◽

Download Full-text

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

Download Full-text

The Terwilliger Algebra of a 2-Homogeneous Bipartite Distance-Regular Graph

Journal of Combinatorial Theory Series B ◽

10.1006/jctb.2000.2002 ◽

2001 ◽

Vol 81 (1) ◽

pp. 125-141 ◽

Author(s):

Brian Curtin

Keyword(s):

Regular Graph ◽

Terwilliger Algebra ◽

Distance Regular Graph

Download Full-text

The Terwilliger algebra of an almost-bipartite distance-regular graph and its antipodal 2-cover

Discrete Mathematics ◽

10.1016/s0012-365x(99)00296-4 ◽

2000 ◽

Vol 216 (1-3) ◽

pp. 35-69 ◽

Author(s):

Benjamin V.C. Collins

Keyword(s):

Regular Graph ◽

Terwilliger Algebra ◽

Distance Regular Graph

Download Full-text

An equitable partition for a distance-regular graph of negative type

Journal of Combinatorial Theory Series B ◽

10.1016/j.jctb.2005.02.007 ◽

2005 ◽

Vol 95 (2) ◽

pp. 175-188 ◽

Author(s):

Štefko Miklavič

Keyword(s):

Regular Graph ◽

Distance Regular Graph ◽

Equitable Partition ◽

Download Full-text

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

Download Full-text

The Terwilliger Algebra Associated with a Set of Vertices in a Distance-Regular Graph

Journal of Algebraic Combinatorics ◽

10.1007/s10801-005-2504-4 ◽

2005 ◽

Vol 22 (1) ◽

pp. 5-38 ◽

Author(s):

Hiroshi Suzuki

Keyword(s):

Regular Graph ◽

Terwilliger Algebra ◽

Distance Regular Graph

Download Full-text

The geometric girth of a distance-regular graph having certain thin irreducible modules for the Terwilliger algebra

European Journal of Combinatorics ◽

10.1016/j.ejc.2004.08.006 ◽

2006 ◽

Vol 27 (2) ◽

pp. 235-254 ◽

Author(s):

Hiroshi Suzuki

Keyword(s):

Regular Graph ◽

Terwilliger Algebra ◽

Distance Regular Graph ◽

Irreducible Modules

Download Full-text

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 ◽

Download Full-text

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

Download Full-text

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 $M_{22}\colon 2$.

Download Full-text