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math.CO2024★ 1 cited
Spectral conditions for the existence of chorded cycles in graphs with fixed size
Jin Cai, Leyou Xu, Bo Zhou
A chorded cycle is a cycle with at least one chord. Gould asked in [Graphs Comb. 38 (2022) 189] the question: What spectral conditions imply a graph contains a chorded cycle? For a…
math.CO2024
Spectral conditions for graphs in which every edge belongs to a factor
Jin Cai, Bo Zhou
A factor of a graph is a spanning subgraph. Spectral sufficient conditions are provided via spectral radius and signless Laplacian spectral radius for graphs with (i) a matching of…
math.CO2024
Spectral conditions for factor-criticality of graphs
Jin Cai, Bo Zhou
A graph is -factor-critical if has a perfect matching for any -subset of the vertex set of . In this paper, we investigate the factor-criticality of graphs w…