2 papers
math.CO2026
The existence of odd-even factors in 1-binding graphs
Sizhong Zhou, Qiuxiang Bian, Hongxia Liu
Let be a graph. The binding number of , denoted by $\mbox{bind}(G)$, is defined as $$ \mbox{bind}(G)=\min\left\{\frac{|N_G(S)|}{|S|}:\emptyset\neq S\subseteq V(G) \ \mbox{an…
math.CO2026
Perfect matchings and -spectral radius in 1-binding graphs
Sizhong Zhou, Hongxia Liu
Let be a graph with vertex set and edge set . For , we use and to denote the -matrix and the -spectral radius of ,…