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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…
math.CO2025
Critical -Free Graphs
Wen Xia, Jorik Jooken, Jan Goedgebeur +3
A graph is -vertex-critical if but for all . A graph is -free if it contains no induced subgraph isomorphic to nor .…