An inequality for regular near polygons

Paul Terwilliger*, Chih-wen Weng

*Corresponding author for this work

研究成果: Article同行評審

3 引文 斯高帕斯(Scopus)

摘要

Let Γ denote a near polygon distance-regular graph with diameter d ≥ 3, valency k and intersection numbers a1 > 0, c2 > 1. Let θ1 denote the second largest eigenvalue of Γ. We show θ1≤k-a1-c2/c2-1. We show the following (i)-(iii) are equivalent. (i) Equality is attained above; (ii) Γ is Q-polynomial with respect to θ1; (iii) Γ is a dual polar graph or a Hamming graph.

原文English
頁(從 - 到)227-235
頁數9
期刊European Journal of Combinatorics
26
發行號2
DOIs
出版狀態Published - 1 二月 2005

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