منابع مشابه
Partitioning and coloring graphs with degree constraints
We prove that if G is a vertex-critical graph with χ(G) ≥ ∆(G) + 1 − p ≥ 4 for some p ∈ N and ω(H(G)) ≤ χ(G)+1 p+1 − 2, then G = Kχ(G) or G = O5. Here H(G) is the subgraph of G induced on the vertices of degree at least χ(G). This simplifies the proofs and improves the results in the paper of Kostochka, Rabern and Stiebitz [8].
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ژورنال
عنوان ژورنال: Malaya Journal of Matematik
سال: 2020
ISSN: 2319-3786,2321-5666
DOI: 10.26637/mjm0804/0009