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

An automorphism group of a distance-regular graph with intersection array {24, 21, 3; 1, 3, 18}

Algebra and Logic ◽

10.1007/s10469-012-9194-5 ◽

2012 ◽

Vol 51 (4) ◽

pp. 319-332 ◽

Author(s):

A. A. Makhnev ◽

D. V. Paduchikh

Keyword(s):

Automorphism Group ◽

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

Download Full-text

Automorphism Group of a Distance-Regular Graph with Intersection Array {35, 32, 1; 1, 4, 35}

Algebra and Logic ◽

10.1007/s10469-018-9466-9 ◽

2018 ◽

Vol 56 (6) ◽

pp. 443-450

Author(s):

V. V. Bitkina ◽

A. A. Makhnev

Keyword(s):

Automorphism Group ◽

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

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

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

Download Full-text

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

Download Full-text

On automorphisms of a distance-regular graph with intersection array {81, 60, 1; 1, 20, 81}

Doklady Mathematics ◽

10.1134/s1064562410060177 ◽

2010 ◽

Vol 82 (3) ◽

pp. 905-908 ◽

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 {39, 36, 1; 1, 2, 39}

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543816090042 ◽

2016 ◽

Vol 295 (S1) ◽

pp. 28-37

Author(s):

I. N. Belousov

Keyword(s):

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

Download Full-text

There Exists no Distance-regular Graph with Intersection Array (5,4,3; 1,1,2)

European Journal of Combinatorics ◽

10.1006/eujc.1993.1045 ◽

1993 ◽

Vol 14 (5) ◽

pp. 409-412 ◽

Author(s):

D.G. Fon-Der-Flaass

Keyword(s):

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

Download Full-text

The uniqueness of a distance-regular graph with intersection array $$\{32,27,8,1;1,4,27,32\}$$ { 32 , 27 , 8 , 1 ; 1 , 4 , 27 , 32 } and related results

Designs Codes and Cryptography ◽

10.1007/s10623-016-0223-6 ◽

2016 ◽

Vol 84 (1-2) ◽

pp. 101-108 ◽

Author(s):

Leonard H. Soicher

Keyword(s):

Regular Graph ◽

Intersection Array ◽

Distance Regular Graph

Download Full-text