Structural domination and coloring of some (P7,C7)-free graphs
نویسندگان
چکیده
We show that every connected induced subgraph of a graph G is dominated by an split if and only C-free, where C set six graphs which includes P7 C7, each containing P5. A similar characterization shown for the class are complete graph. Motivated these results, we study structural descriptions some classes (P7, C7)-free graphs. In particular, give C4, gem)-free diamond)-free Using satisfies χ(G)≤2ω(G)−1, H χ(H)≤max{3,ω(H)}.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2021
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2020.112244