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pro vyhledávání: '"Evans, Rhys J."'
In this paper we show the tightness of the weight-distribution bound for the positive non-principle eigenvalue of strongly regular (affine) polar graphs and characterise the optimal eigenfunctions. Additionally, we show the tightness of the weight-di
Externí odkaz:
http://arxiv.org/abs/2407.02780
We finish the classification of equitable 2-partitions of the Johnson graphs of diameter 3, $J(n,3)$, for $n>10$.
Externí odkaz:
http://arxiv.org/abs/2206.15341
Autor:
Evans, Rhys J.
Given feasible strongly regular graph parameters $(v,k,\lambda,\mu)$ and a non-negative integer $d$, we determine upper and lower bounds on the order of a $d$-regular induced subgraph of any strongly regular graph with parameters $(v,k,\lambda,\mu)$.
Externí odkaz:
http://arxiv.org/abs/2202.03700
We present a construction of Neumaier graphs with nexus 1, which generalises two known constructions of Neumaier graphs. We also use W. Wang, L. Qiu, and Y. Hu switching to show that we construct cospectral Neumaier graphs. Finally, we show that seve
Externí odkaz:
http://arxiv.org/abs/2109.13884
Publikováno v:
In Discrete Mathematics July 2023 346(7)
A regular clique in a regular graph is a clique such that every vertex outside of the clique is adjacent to the same positive number of vertices inside the clique. We continue the study of regular cliques in edge-regular graphs initiated by A. Neumai
Externí odkaz:
http://arxiv.org/abs/1809.03417
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