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Hadwiger's Conjecture for some graphs with independence number two - MaRDI portal

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Hadwiger's Conjecture for some graphs with independence number two

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Publication:6510035

arXiv2305.05868MaRDI QIDQ6510035

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Abstract: Let h(G) denote the largest t such that G contains Kt as a minor, chi(G) the chromatic number of G respectively. In 1943, Hadwiger conjectured that h(G)geqchi(G) for any graph G. In this paper, we will prove Hadwiger's Conjecture holds for H-free graphs with independence number two, where H is any one of 4 given graphs.












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