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math.CO2023
Near Optimal Colourability on Hereditary Graph Families
Yiao Ju, Shenwei Huang
In this paper, we initiate a systematic study on a new notion called near optimal colourability which is closely related to perfect graphs and the Lov{á}sz theta function. A graph…
math.CO2023
Vertex-Critical -Free Graphs
Shenwei Huang, Zeyu Li
Given two graphs and , a graph is -free if it contains no induced subgraph isomorphic to or . A is the path on vertices. A chair is a…
math.CO2022
Critical (,bull)-free graphs
Shenwei Huang, Jiawei Li, Wen Xia
Given two graphs and , a graph is -free if it contains no induced subgraph isomorphic to or . Let and be the path and the cycle on …