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REGULAR CLIQUE ASSEMBLIES, CONFIGURATIONS, AND FRIENDSHIP IN EDGE-REGULAR GRAPHS

摘要


An edge-regular graph is a regular graph in which, for some λ, any two adjacent vertices have exactly λ common neighbors. This paper is about the existence and structure of edge-regular graphs with λ= 1 and about edge-regular graphs with λ> 1 which have local neighborhood structure analogous to that of the edge-regular graphs with λ= 1.

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