Conference abstracts

Session B2 - Graph Theory and Combinatorics

July 14, 15:30 ~ 15:55

An application of Hoffman graphs for spectral characterizations of graphs

Aida Abiad

Maastricht University, The Netherlands   -   a.abiadmonge@maastrichtuniversity.nl

In this paper, we present the first application of Hoffman graphs for spectral characterizations of graphs. In particular, we show that the $2$-clique extension of the $(t+1)\times(t+1)$-grid is determined by its spectrum when $t$ is large enough. This result will help to show that the Grassmann graph $J_2(2D,D)$ is determined by its intersection numbers as a distance regular graph, if $D$ is large enough.

Joint work with Qianqian Yang (University of Science and Technology of China) and Jack H. Koolen (University of Science and Technology of China and Wen-Tsun Wu Key Laboratory of CAS).

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