A survey on the computational complexity of coloring graphs with forbidden subgraphs

PA Golovach, M Johnson, D Paulusma… - Journal of Graph …, 2017 - Wiley Online Library
For a positive integer k, ak‐coloring of a graph is a mapping such that whenever. The
Coloring problem is to decide, for a given G and k, whether ak‐coloring of G exists. If k is …

[HTML][HTML] Critical (P6, banner)-free graphs

S Huang, T Li, Y Shi - Discrete Applied Mathematics, 2019 - Elsevier
Given two graphs H 1 and H 2, a graph is (H 1, H 2)-free if it contains no induced subgraph
isomorphic to H 1 or H 2. Let P t and C t be the path and the cycle on t vertices, respectively …

On graphs with no induced bull and no induced diamond

S Mishra - arXiv preprint arXiv:2107.03750, 2021 - arxiv.org
A bull is the graph obtained by adding two pendant edges at different vertices of a triangle. A
diamond is the graph obtained from a $ K_4 $ by deleting an edge. In this paper, we study …

The maximum weight stable set problem in (, bull)-free graphs

F Maffray, L Pastor - International Workshop on Graph-Theoretic Concepts …, 2016 - Springer
The Maximum Weight Stable Set Problem in ( $$P_6$$ , bull)-Free Graphs | SpringerLink
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