RAIRO-Theor. Inf. Appl.
Volume 39, Number 1, January-March 2005Imre Simon, the tropical computer scientist
|Page(s)||133 - 144|
|Published online||15 March 2005|
Finding H-partitions efficiently
Instituto de Computação,
Universidade Estadual de Campinas, Caixa Postal 6176, CEP
13084-971, Campinas, SP, Brasil; email@example.com
2 Instituto de Matemática and COPPE, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, CEP 21945-970, Rio de Janeiro, RJ, Brasil; firstname.lastname@example.org & email@example.com
3 CNRS, GeoD research group, “Maths à modeler” project, Laboratoire Leibniz, France; firstname.lastname@example.org
We study the concept of an H-partition of the vertex set of a graph G, which includes all vertex partitioning problems into four parts which we require to be nonempty with only external constraints according to the structure of a model graph H, with the exception of two cases, one that has already been classified as polynomial, and the other one remains unclassified. In the context of more general vertex-partition problems, the problems addressed in this paper have these properties: non-list, 4-part, external constraints only (no internal constraints), each part non-empty. We describe tools that yield for each problem considered in this paper a simple and low complexity polynomial-time algorithm.
Mathematics Subject Classification: 05C85 / 68R10
Key words: Structural graph theory / computational difficulty of problems / analysis of algorithms and problem complexity / perfect graphs / skew partition
© EDP Sciences, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.