3 papers
math.CO2025
Hypergraph Turán problem of the generalized triangle with bounded matching number
Jian Wang, Wenbin Wang, Weihua Yang
Let be a 3-graph on vertices. The matching number is defined as the maximum number of disjoint edges in . The generalized triangle…
math.CO2025
Hamiltonian cycles in -tough ()-free graphs
Hui Ma, Lili Hao, Weihua Yang
A graph is called -tough if for every cutset of . Chvátal conjectured that there exists a constant suc…
math.CO2025
2-factors in -tough maximal planar graphs
Lili Hao, Hui Ma, Songling Shan +1
The toughness of a graph is defined as the minimum value of over all cutsets of if is noncomplete, and is defined to be if is complete. Fo…