graph connectivity 1graph toughness 1hamiltonian connectivity 1independence number 1k2 ∪ k k1)-free graphs 1minimum degree 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.CO2026
Sufficient conditions for -free graphs to be Hamilton-connected
Xiaoqiong Xu, Shujie Chen, Fengming Dong +1
The paper establishes new sufficient conditions—based on connectivity, minimum degree, toughness, and independence number—for (K₂ ∪ kK₁)-free graphs to be Hamilton‑connected, impro…
math.CO2026
Extremal problems on disjoint path covers of graphs
Shujie Chen, Tao Tian
In 1962, ErdÅs characterized the maximum size of nonhamiltonian graphs of order with minimum degree at least . Later, Ning and Peng [Combin. Probab. Comput. 29 (2020) 128-1…