On automorphisms of a distance-regular graph with intersection array $\{99,84,1;1,12,99\}$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 23-30
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We find possible orders and fixed point subgraphs of a hypothetical distance-regular graph with intersection array $\{99,84,1;1,12,99\}$. It is shown that, if $\Gamma$ is a vertex-symmetric graph with intersection array $\{99,84,1;1, 12,99\}$, then its automorphism group is a $\{2,3,5\}$-group.
Keywords:
distance-regular graph, automorphism of a graph.
@article{TIMM_2016_22_3_a2,
author = {I. N. Belousov},
title = {On automorphisms of a distance-regular graph with intersection array $\{99,84,1;1,12,99\}$},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {23--30},
publisher = {mathdoc},
volume = {22},
number = {3},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a2/}
}
TY - JOUR
AU - I. N. Belousov
TI - On automorphisms of a distance-regular graph with intersection array $\{99,84,1;1,12,99\}$
JO - Trudy Instituta matematiki i mehaniki
PY - 2016
SP - 23
EP - 30
VL - 22
IS - 3
PB - mathdoc
UR - http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a2/
LA - ru
ID - TIMM_2016_22_3_a2
ER -
I. N. Belousov. On automorphisms of a distance-regular graph with intersection array $\{99,84,1;1,12,99\}$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 23-30. http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a2/