Connectivity concerning the last two subconstituents of a Q-polynomial distance-regular 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 ◽

Cited By ~ 3

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 ◽

Dual Distance

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The Girth of a Directed Distance-Regular Graph

Journal of Combinatorial Theory Series B ◽

10.1006/jctb.1993.1028 ◽

1993 ◽

Vol 58 (1) ◽

pp. 34-39 ◽

Cited By ~ 2

Author(s):

D.A. Leonard ◽

K. Nomura

Keyword(s):

Regular Graph ◽

Distance Regular Graph ◽

Directed Distance

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