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Planar Graphs with Circular Chromatic Numbers between 3 and 4

Authors :
Zhu, Xuding
Source :
Journal of Combinatorial Theory - Series B; July 1999, Vol. 76 Issue: 2 p170-200, 31p
Publication Year :
1999

Abstract

This paper proves that for every rational number rbetween 3 and 4, there exists a planar graph Gwhose circular chromatic number is equal to r. Combining this result with a recent result of Moser, we arrive at the conclusion that every rational number rbetween 2 and 4 is the circular chromatic number of a planar graph.

Details

Language :
English
ISSN :
00958956 and 10960902
Volume :
76
Issue :
2
Database :
Supplemental Index
Journal :
Journal of Combinatorial Theory - Series B
Publication Type :
Periodical
Accession number :
ejs760992
Full Text :
https://doi.org/10.1006/jctb.1999.1900