The maximum k-colorable subgraph problem for chordal graphs
Information Processing Letters
The greedy algorithm is optimal for on-line edge coloring
Information Processing Letters
A General Approximation Technique for Constrained Forest Problems
SIAM Journal on Computing
Improved performance of the greedy algorithm for partial cover
Information Processing Letters
Graph classes: a survey
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Developments from a June 1996 seminar on Online algorithms: the state of the art
ICALP'11 Proceedings of the 38th international colloquim conference on Automata, languages and programming - Volume Part I
| Hi-index | 0.00 |
We consider the following vertex coloring problem. We are given an undirected graph G=(V,E), where each vertex v is associated with a penalty rejection cost r"v. We need to choose a subset of vertices, V^', and to find a proper coloring of the induced subgraph of G over V^'. We are interested in both the number of colors used to color the vertices of V^', and in the total rejection cost of all other vertices. The goal is to minimize the sum of these two amounts. In this paper we consider both the online and the offline versions of this problem. In the online version, vertices arrive one at a time, revealing the rejection cost of the current vertex and the set of edges connecting it to previously revealed vertices. We also consider the classical online coloring problem on bounded degree graphs and on (k+1)-claw free graphs.