Title
Bounds and complexity results for strong edge colouring of subcubic graphs.
Abstract
A strong edge colouring of a graph G is a proper edge colouring such that every path of length 3 uses three colours. In this paper, we give some upper bounds for the minimum number of colours in a strong edge colouring of subcubic graphs as a function of the maximum average degree. We also prove the NP-completeness of the strong edge k-colouring problem for some restricted classes of subcubic planar graphs when k=4,5,6.
Year
DOI
Venue
2011
10.1016/j.endm.2011.09.075
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
strong edge colouring,subcubic graphs,maximum average degree,NP-completeness
Discrete mathematics,Graph,Combinatorics,Mathematics,Planar graph
Journal
Volume
ISSN
Citations 
38
1571-0653
0
PageRank 
References 
Authors
0.34
3
3
Name
Order
Citations
PageRank
Hervé Hocquard1649.38
Pascal Ochem225836.91
Petru Valicov3759.19