2 papers
math.CO2026
A note on long nontrivial cycle in Hamiltonian graphs
Xiaolin Wang, Jiabao Yang, Guangmiao Yu +1
Let be an -vertex graph containing a Hamiltonian cycle and with minimum degree at least . Girão, Kittipassorn and Narayanan (Israel J. Math., 2019) proved that conta…
math.CO2026
New results on proper orientation number of graphs
Laochao Wang Xiaolin Wang, Guangmiao Yu
The proper orientation number of an undirected graph is the minimum such that there exists an orientation of with all out-degrees at most and with diffe…