Two operations on a graph preserving the (non)existence of 2-factors in its line graph

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Two Operations on a Graph Preserving the (non)existence of 2-factors in Its Line Graph

Let G = (V (G), E(G)) be a graph. Gould and Hynds (1999) showed a wellknown characterization of G by its line graph L(G) that has a 2-factor. In this paper, by defining two operations, we present a characterization for a graph G to have a 2-factor in its line graph L(G). A graph G is called N-locally connected if for every vertex x ∈ V (G), G[{y ∈ V (G) ; 1 6 distG(x, y) 6 2}] is connected. By ...

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ژورنال

عنوان ژورنال: Czechoslovak Mathematical Journal

سال: 2014

ISSN: 0011-4642,1572-9141

DOI: 10.1007/s10587-014-0151-4