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A house is the graph that consists of an induced 4-vertex cycle and a single vertex with precisely two adjacent neighbors on the cycle. The Borodin–Kostochka Conjecture states that for each graph G with Δ(G)≥9, we have χ(G)≤max{Δ(G)−1,ω(G)}. We show that this conjecture holds for {P2∪P3,house}-free graphs. © 2023 Elsevier B.V.
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Discrete Applied Mathematics
ISSN： 0166-218X
Year： 2024
Volume： 342
Page： 12-18
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JCR@2023
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ESI Highly Cited Papers on the List： 0 Unfold All
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