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- W2400852168 abstract "The supereulerian index of a graph G is the smallest integer k such that the k-th iterated line graph of G is supereulerian. We first show that adding an edge between two vertices with degree sums at least three in a graph cannot increase its supereulerian index. We use this result to prove that the supereulerian index of a graph G will not be changed after either of contracting an AG(F )-contractible subgraph F of a graph G and performing the closure operation on G (if G is claw-free). Our results extend a Catlin’s remarkable theorem [4] relating that the supereulericity of a graph is stable under the contraction of a collapsible subgraph." @default.
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- W2400852168 date "2010-01-01" @default.
- W2400852168 modified "2023-09-23" @default.
- W2400852168 title "Supereulerian index is stable under contractions and closures." @default.
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