Signless Laplacian spectral conditions for even factors in graphs

Abstract

A spanning subgraph F of a graph G is defined as an even factor of G, if the degree dF(v)=2k, k∈N+ for every vertex v∈ V(G). This note establishes a sufficient condition to ensure that a connected graph G of even order with the minimum degree δ contains an even factor based on the signless Laplacian spectral radius.

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