NDLI: Distant Vertex Partitions of Graphs

Content Provider	Scilit
Author	Jagger, Chris
Copyright Year	1998
Description	We consider the function $χ(G^{k}$), defined to be the smallest number of colours that can colour a graph G in such a way that no vertices of distance at most k receive the same colour. In particular we shall look at how small a value this function can take in terms of the order and diameter of G. We get general bounds for this and tight bounds for the cases k=2 and k=3.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/244E6D01A8376613CCB24C4ECE05217A/S0963548398003654a.pdf/div-class-title-distant-vertex-partitions-of-graphs-div.pdf
Ending Page	422
Page Count	10
Starting Page	413
ISSN	09635483
e-ISSN	14692163
DOI	10.1017/s0963548398003654
Journal	Combinatorics, Probability and Computing
Issue Number	4
Volume Number	7
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1998-12-01
Access Restriction	Open
Subject Keyword	Combinatorics, Probability and Computing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Statistics and Probability Theoretical Computer Science Computational Theory and Mathematics

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