Search results for "Frequency partition of a graph"

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Degree sequences of highly irregular graphs

1997

AbstractWe 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.

Discrete mathematicsCombinatoricsSequenceLoop (graph theory)Simple graphDegree (graph theory)Frequency partition of a graphHighly irregular graphBiregular graphDiscrete Mathematics and CombinatoricsTheoretical Computer ScienceMathematicsMathematicsofComputing_DISCRETEMATHEMATICSDiscrete Mathematics

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