| Title |
On the graph coloring polytope |
| Another Title |
Apie grafo dažymo daugiasienį. |
| Authors |
Palubeckis, Gintaras |
| Full Text |
|
| Is Part of |
Informacinės technologijos ir valdymas = Information technology and control.. Kaunas : Technologija. 2008, t. 37, Nr. 1, p. 7-11.. ISSN 1392-124X. eISSN 2335-884X |
| Keywords [eng] |
Polyhedral combinatorics ; Graph coloring ; Polytopes ; Facets |
| Abstract [eng] |
The graph coloring problem consists in assigning colors to the vertices of a given graph G such that no two adjacent vertices receive the same color and the number of used colors is as small as possible. In this paper, we investigate the graph coloring polytope P(G) defined as the convex hull of feasible solutions to the binary programming formulation of the problem. We remark that P(G) coincides with the stable set polytope of a graph constructed from the complement g of G. We derive facet-defining inequalities for P(G) from independent sets, odd holes, odd anti-holes and odd wheels in G. |
| Published |
Kaunas : Technologija |
| Type |
Journal article |
| Language |
English |
| Publication date |
2008 |
| CC license |
|
