On automorphisms of a distance-regular graph with intersection array $\{39,36,1;1,2,39\}$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 54-62
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Possible prime-order automorphisms and fixed-point subgraphs are found for a hypothetical distance-regular graph with intersection array $\{39,36,1;1,2,39\}$. It is shown that graphs with intersection arrays $\{15,12,1;1,2\}$, $\{35,32,1;1,2,35\}$, and $\{39,36,1;1,2,39\}$ are not vertex-symmetric.
Keywords:
distance-regular graph
Mots-clés : graph automorphism.
Mots-clés : graph automorphism.
@article{TIMM_2015_21_3_a6,
author = {I. N. Belousov},
title = {On automorphisms of a distance-regular graph with intersection array $\{39,36,1;1,2,39\}$},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {54--62},
publisher = {mathdoc},
volume = {21},
number = {3},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a6/}
}
TY - JOUR
AU - I. N. Belousov
TI - On automorphisms of a distance-regular graph with intersection array $\{39,36,1;1,2,39\}$
JO - Trudy Instituta matematiki i mehaniki
PY - 2015
SP - 54
EP - 62
VL - 21
IS - 3
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a6/
LA - ru
ID - TIMM_2015_21_3_a6
ER -
I. N. Belousov. On automorphisms of a distance-regular graph with intersection array $\{39,36,1;1,2,39\}$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 3, pp. 54-62. http://geodesic.mathdoc.fr/item/TIMM_2015_21_3_a6/