The Koolen-Park bound and distance-regular graphs without $m$-clavs
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2022), pp. 64-69
Voir la notice de l'article provenant de la source Math-Net.Ru
Using the Koolen-Park bound, we prove that distance-regular graphs with intersection arrays $\{83,54,21;1,6,63\}$, $\{80,54,12;1,6,60\}$ and $\{93,64,24;1,12,62\}$ do not exist.
Keywords:
distance-regular graph, Koolen-Pack boundary
Mots-clés : $m$-clav.
Mots-clés : $m$-clav.
@article{IVM_2022_9_a5,
author = {A. A. Makhnev and Wenbin Guo and K. S. Efimov},
title = {The {Koolen-Park} bound and distance-regular graphs without $m$-clavs},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {64--69},
publisher = {mathdoc},
number = {9},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2022_9_a5/}
}
TY - JOUR AU - A. A. Makhnev AU - Wenbin Guo AU - K. S. Efimov TI - The Koolen-Park bound and distance-regular graphs without $m$-clavs JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2022 SP - 64 EP - 69 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2022_9_a5/ LA - ru ID - IVM_2022_9_a5 ER -
A. A. Makhnev; Wenbin Guo; K. S. Efimov. The Koolen-Park bound and distance-regular graphs without $m$-clavs. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2022), pp. 64-69. http://geodesic.mathdoc.fr/item/IVM_2022_9_a5/