Degree sequences of highly irregular graphs

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Degree sequences of highly irregular graphs

We call a simple graph highly irregular if each of its vertices is adjacent only to vertices with distinct degrees. In this paper we examine the degree sequences of highly irregular graphs. We give necessary and sufficient conditions for a sequence of positive integers to be the degree sequence of a highly irregular graph.

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 1997

ISSN: 0012-365X

DOI: 10.1016/s0012-365x(97)84782-6