Strong chromatic index of unit distance graphs

2018 ◽  
Vol 90 (4) ◽  
pp. 523-534 ◽  
Author(s):  
Michał Dębski
Keyword(s):  
Chromatic Index ◽  
Unit Distance ◽  
Distance Graphs ◽  
Strong Chromatic Index

scholarly journals The strong chromatic index of (3,Δ)-bipartite graphs

2017 ◽  
Vol 340 (5) ◽  
pp. 1143-1149 ◽  
Author(s):  
Mingfang Huang ◽  
Gexin Yu ◽  
Xiangqian Zhou
Keyword(s):  
Bipartite Graphs ◽  
Chromatic Index ◽  
Strong Chromatic Index

scholarly journals Strong chromatic index of products of graphs

2007 ◽  
Vol Vol. 9 no. 1 (Graph and Algorithms) ◽  
Author(s):  
Olivier Togni
Keyword(s):  
Cartesian Product ◽  
Complete Graphs ◽  
Chromatic Index ◽  
Induced Matching ◽  
Colour Class ◽  
Strong Chromatic Index ◽  
Minimum Number ◽  
International Audience

Graphs and Algorithms International audience The strong chromatic index of a graph is the minimum number of colours needed to colour the edges in such a way that each colour class is an induced matching. In this paper, we present bounds for strong chromatic index of three different products of graphs in term of the strong chromatic index of each factor. For the cartesian product of paths, cycles or complete graphs, we derive sharper results. In particular, strong chromatic indices of d-dimensional grids and of some toroidal grids are given along with approximate results on the strong chromatic index of generalized hypercubes.

The strong chromatic index of graphs with edge weight eight

2020 ◽  
Vol 40 (1) ◽  
pp. 227-233
Author(s):  
Lily Chen ◽  
Shumei Chen ◽  
Ren Zhao ◽  
Xiangqian Zhou
Keyword(s):  
Edge Weight ◽  
Chromatic Index ◽  
Strong Chromatic Index

scholarly journals ?-Unit Distance Graphs

2004 ◽  
Vol 33 (1) ◽  
pp. 117-123 ◽  
Author(s):  
Geoffrey Exoo
Keyword(s):  
Unit Distance ◽  
Distance Graphs

scholarly journals Bounding the strong chromatic index of dense random graphs

2004 ◽  
Vol 281 (1-3) ◽  
pp. 129-136 ◽  
Author(s):  
Andrzej Czygrinow ◽  
Brendan Nagle
Keyword(s):  
Random Graphs ◽  
Chromatic Index ◽  
Strong Chromatic Index

On the connectivity of unit distance graphs

1996 ◽  
Vol 12 (3) ◽  
pp. 295-303 ◽  
Author(s):  
Michael Reid
Keyword(s):  
Unit Distance ◽  
Distance Graphs
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