The q-perfect graphs
Abstract
Let q be a positive integer. Many graphs admit a partial coloring with q colors and a clique partition such that each of the cliques is strongly colored, that is: contains the largest possible number of different colors. If a graph G and all its induced subgraphs have this property, we say that G is q-perfect (Lovasz). In a previous paper [4], the specific properties for the case q=2 were investigated. Here, we study some graphs which are q-perfect for other values of q, and more specially the balanced graphs.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.
