吴文俊数学重点实验室代数学系列讲座之六十二【Aleksandr Makhnev 教授】

题目: Distance regular covers of cliques with strongly regular local subgraphs

报告人：Aleksandr Makhnev （俄罗斯科学院通信院士）

时间:  2014年12月2日， 周二  下午16:00-17:00

地点：东区管理科研楼 1518 室

摘要:  Let Γ be a distance regular cover of (k +1)-clique with λ = μ. If local subgraphs are strongly regular with parameters (v’, k’, λ’, μ’), then v’= k, k’= λ, and b1= k − λ − 1 = (r − 1)μ, so k’= λ devides v’− 1. It is determined parameters of strongly regular graphs with at most 1000 vertices, which may be local subgraphs in distance regular cover of clique with λ = μ. It is classified arc-transitive distance regular cover of clique with λ = μ with local subgraphs, whose parametrs belongs to our list.

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