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On the complete chromatic number of Halin graphs

Authors :
Linzhong Liu
Zhongfu Zhang
Source :
Acta Mathematicae Applicatae Sinica. 13:102-106
Publication Year :
1997
Publisher :
Springer Science and Business Media LLC, 1997.

Abstract

LetG be a planar graph with δ(G)≥3,f 0 be a face ofG. In this paper it is proved that for any Halin graph with Δ(G)≥6,x c (G)=Δ(G)+1, where Δ(G),x c (G) denote the maximum degree and the complete chromatic number ofG, respectively.

Details

ISSN :
16183932 and 01689673
Volume :
13
Database :
OpenAIRE
Journal :
Acta Mathematicae Applicatae Sinica
Accession number :
edsair.doi...........9bd818c50e3047b6ee5af3b563a5e306
Full Text :
https://doi.org/10.1007/bf02020485