2 papers
math.CO2026
Hamiltonian cycles in 7-tough -free graphs
Yong Lu, Qi Wu, Qiannan Zhou
Shan~[J. Graph Theory (2026)] proved that every 23-tough -free graph on at least three vertices is Hamiltonian. We improve this bound to 7 by replacing the final cut…
math.CO2025
Distance signless Laplacian spectral radius and tough graphs involving minimun degree
Xiangge Liu, Yong Lu, Caili Jia +2
Let be a simple graph, where and are the vertex set and the edge set of , respectively. The number of components of is denoted by . Let $…