Article ID Journal Published Year Pages File Type
6892713 Computers & Operations Research 2018 16 Pages PDF
Abstract
The maximum k-colorable subgraph problem (k-MCSP) is to color as many vertices as possible with at most k colors, such that no two adjacent vertices share the same color. We consider online algorithms for this NP-hard problem, and give bounds on their competitive ratio. We then consider a large family A of online sequential coloring algorithms and determine the smallest graphs for which no algorithm in A can produce an optimal solution to the k-MCSP. We then compare the performance of several online sequential coloring algorithms, using DIMACS benchmark instances. We finally consider the case where vertices colored at an early stage can receive a new color later on, as long as they remain colored.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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