3 papers
math.CO2025
Sufficient conditions for even factors in graphs
Sizhong Zhou, Qiuxiang Bian, Jiancheng Wu
Let be a graph. We denote by and the size and the spectral radius of . A spanning subgraph of is called an even factor of if $d_F(v)\in\{2,4,6,\ld…
math.CO2025
Spanning k-trees, odd [1,b]-factors and spectral radius in binding graphs
Jiancheng Wu, Sizhong Zhou
The binding number of a graph , written as $\mbox{bind}(G)$, is defined by $$ \mbox{bind}(G)=\min\left\{\frac{|N_G(X)|}{|X|}:\emptyset\neq X\subseteq V(G),N_G(X)\neq V(G)\right\…
math.CO2024
A spectral condition for spanning trees with restricted degrees in bipartite graphs
Jiancheng Wu, Sizhong Zhou, Hongxia Liu
Let be a graph and be a spanning tree of . We use to denote the signless Laplacian matrix of , where is the diagonal degree matrix of and…