3 papers
math.CO2026
The optimal chromatic bound for even-hole-free graphs without induced seven-vertex paths
Shenwei Huang, Yidong Zhou, Yeonsu Chang
The class of even-hole-free graphs has been extensively studied on its own and on its relation to perfect graphs. In this paper, we study the -boundedness of even-hole-free grap…
math.CO2025
Three-coloring triangle-free graphs without long forbidden paths
Yidong Zhou, Jorik Jooken, Baoyuan Shan +2
A graph is -vertex-critical if , but for every proper induced subgraph of . For a family of graphs , is -free if no g…
math.CO2025
3-Coloring -Free Graphs With Only One Prescribed Induced Odd Cycle Length
Yidong Zhou, Mingxian Zhong, Shenwei Huang
A graph is -free if it contains no induced subgraph isomorphic to a -vertex path. A graph is not bipartite if and only if it contains an induced subgraph isomorphic to a $k…