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Complete minors and stability numbers. (arXiv:1810.03306v1 [math.CO])

来源于:arXiv
Hadwiger's conjecture implies that $n\le\alpha h$ for all graphs of order $n$, stability number $\alpha $, and Hadwiger number $h$. Combining ideas of Kawarabayashi et al. and Wood, we prove that $n\le (\alpha-1)(2h-5)+5$ for such graphs if $\alpha\ge 3$ and $h\ge 5$. 查看全文>>