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On the structure of a triangle‐free infinite‐chromatic graph of Gyarfas


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Authors

Eggan, Larry 
Harary, Frank 

Abstract

jats:pGyárfás has recently constructed an elegant new example of a triangle‐free infinite graph jats:italicG</jats:italic> with infinite chromatic number. We analyze its structure by studying the properties of a nested family of subgraphs jats:italicG</jats:italic>jats:subjats:italicn</jats:italic></jats:sub> whose union is jats:italicG</jats:italic>.</jats:p>

Description

Keywords

4901 Applied Mathematics, 4904 Pure Mathematics, 49 Mathematical Sciences

Journal Title

International Journal of Mathematics and Mathematical Sciences

Conference Name

Journal ISSN

0161-1712
1687-0425

Volume Title

Publisher

Wiley