On edge-group choosability of graphs
Combinatorics
2011-06-07 v1
Abstract
In this paper, we study the concept of edge-group choosability of graphs. We say that G is edge k-group choosable if its line graph is k-group choosable. An edge-group choosability version of Vizing conjecture is given. The evidence of our claim are graphs with maximum degree less than 4, planar graphs with maximum degree at least 11, planar graphs without small cycles, outerplanar graphs and near-outerplanar graphs.
Keywords
Cite
@article{arxiv.1106.1110,
title = {On edge-group choosability of graphs},
author = {Amir Khamseh and Gholamreza Omidi},
journal= {arXiv preprint arXiv:1106.1110},
year = {2011}
}