In this paper, we give some sufficient conditions for distance local connectivity of a graph, and a degree condition for local connectivity of a k-connected graph with large diameter. We study some relationships between t-distance chromatic number and distance local connectivity of a graph and give an upper bound on the t-distance chromatic number of a k-connected graph with diameter d.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1356,
author = {P\v remysl Holub},
title = {On distance local connectivity and vertex distance colouring},
journal = {Discussiones Mathematicae Graph Theory},
volume = {27},
year = {2007},
pages = {209-227},
zbl = {1189.05148},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1356}
}
Přemysl Holub. On distance local connectivity and vertex distance colouring. Discussiones Mathematicae Graph Theory, Tome 27 (2007) pp. 209-227. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1356/
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