Block transitivity and degree matrices

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Block transitivity and degree matrices

We say that a square matrix M of order r is a degree matrix of a given graph G if there is a so called equitable partition of its vertices into r blocks. This partition satisfies that for any i and j it holds that a vertex from the i-th block of the partition has exactly mi,j neighbors inside the j-th block. We ask whether for a given degree matrix M, there exists a graph G such that M is a deg...

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2008

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2007.06.027