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Properties of Descartes' Construction of Triangle-Free Graphs with High Chromatic Number

A. V. KOSTOCHKA, J. NEšETŘIL

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Source: Crossref

Published: Sep 1, 1999

DOI: 10.1017/s0963548399004022

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Source abstract

We present some nice properties of the classical construction of triangle-free graphs with high chromatic number given by Blanche Descartes and its modifications. In particular, we construct colour-critical graphs and hypergraphs of high girth with moderate average degree.

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Properties of Descartes' Construction of Triangle-Free Graphs with High Chromatic Number — Mathematical Frontier Network