Kavitha, Telikepalli and Mestre, Julian (2009) Max-Coloring Paths: Tight Bounds and Extensions. In: 20th International Symposium on Algorithms and Computations (ISAAC 2009), DEC 16-18, 2009, Honolulu, pp. 87-96.
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The max-coloring problem is to compute a legal coloring of the vertices of a graph G = (V, E) with a non-negative weight function w on V such that Sigma(k)(i=1) max(v epsilon Ci) w(v(i)) is minimized, where C-1, ... , C-k are the various color classes. Max-coloring general graphs is as hard as the classical vertex coloring problem, a special case where vertices have unit weight. In fact, in some cases it can even be harder: for example, no polynomial time algorithm is known for max-coloring trees. In this paper we consider the problem of max-coloring paths and its generalization, max-coloring abroad class of trees and show it can be solved in time O(vertical bar V vertical bar+time for sorting the vertex weights). When vertex weights belong to R, we show a matching lower bound of Omega(vertical bar V vertical bar log vertical bar V vertical bar) in the algebraic computation tree model.
| Item Type: | Conference Paper |
|---|---|
| Series.: | Lecture Notes in Computer Science |
| Publisher: | Springer |
| Additional Information: | Copyright of this article belongs to Springer. |
| Department/Centre: | Division of Electrical Sciences > Computer Science & Automation |
| Date Deposited: | 23 Aug 2010 10:03 |
| Last Modified: | 26 Oct 2018 14:44 |
| URI: | http://eprints.iisc.ac.in/id/eprint/31341 |
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