A spectral condition for a graph having a strong parity factor
Abstract
A graph G contains a strong parity factor F if for every subset X⊂eq V(G) with |X| even, G has a spanning subgraph F satisfying δ(F)≥1, dF(u)1 (mod 2) for any u∈ X, and dF(v)0 (mod 2) for any v∈ V(G) X. In this paper, we give a spectral radius condition to guarantee that a connected graph contains a strong parity factor.
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