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arxiv: 1703.00606 · v1 · pith:DPERQ62Anew · submitted 2017-03-02 · 🧮 math.CO · cs.DM

Coloring (P₆, diamond, K₄)-free graphs

classification 🧮 math.CO cs.DM
keywords diamondfreegraphcolorablecoloringeveryexamplegeneralizes
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We show that every ($P_6$, diamond, $K_4$)-free graph is $6$-colorable. Moreover, we give an example of a ($P_6$, diamond, $K_4$)-free graph $G$ with $\chi(G) = 6$. This generalizes some known results in the literature.

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