On the Colourings of Graphs
Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 157-160
Voir la notice de l'article provenant de la source Cambridge
A graph G is defined by a set V(G) of vertices, a set E(G) of edges, and a relation of incidence which associates with each edge two distinct vertices called its ends. We consider only the case in which V(G) and E(G) are both finite.An n-colouring of G is usually defined as a mapping f of V(G) into the set of integers { 1, 2,..., n} which maps the two ends of any edge onto distinct integers. The integers 1 to n are the n "colours". Much work has been done on n-colourings in recent years, especially by G. A. Dirac.
Tutte, W.T. On the Colourings of Graphs. Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 157-160. doi: 10.4153/CMB-1961-019-4
@article{10_4153_CMB_1961_019_4,
author = {Tutte, W.T.},
title = {On the {Colourings} of {Graphs}},
journal = {Canadian mathematical bulletin},
pages = {157--160},
year = {1961},
volume = {4},
number = {2},
doi = {10.4153/CMB-1961-019-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1961-019-4/}
}
Cité par Sources :