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arxiv: 1510.06932 · v1 · pith:LTYZQH7Dnew · submitted 2015-10-23 · 🧮 math.CO

A Note on Altermatic Number

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keywords numberaltermaticcombinatorialnoteauthorsborsuk-boundchromatic
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In view of Tucker's lemma (an equivalent combinatorial version of the Borsuk- Ulam theorem), the present authors (2013) introduced the kth altermatic number of a graph G as a tight lower bound for the chromatic number of G. In this note, we present a purely combinatorial proof for this result.

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