3 papers
math.CO2026
Graphs with girth 8 and without longer even holes are 3-colorable
Yan Wang, Rong Wu
For an integer , let denote the family of graphs which have girth and have no even hole of length greater than . Wu, Xu and Xu conject…
math.CO2026
The perfect divisibility and chromatic number of some odd hole-free graphs
Weihua He, Yueping Shi, Rong Wu +1
A hole is an induced cycle of length at least 4, and an odd hole is a hole of odd length. It is NP-hard to color the vertices of an odd hole-free graph. A graph is perfectly di…
math.CO2025
Optimal -boundness of -holed graphs
Yan Wang, Rong Wu
A graph is {\em{-holed}} if all of its induced cycles of length at least four have length exactly . In the paper, we prove that if is an -holed graph with odd…