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| Content Provider | Springer Nature Link |
|---|---|
| Author | Jin, Zemin Ka, Mikio Li, Xueliang Wei, Bing |
| Copyright Year | 2006 |
| Abstract | In this paper we consider the problem of partitioning complete multipartite graphs with edges colored by 2 colors into the minimum number of vertex disjoint monochromatic cycles, paths and trees, respectively. For general graphs we simply address the decision version of these three problems the 2-PGMC, 2-PGMP and 2-PGMT problems, respectively. We show that both 2-PGMC and 2-PGMP problems are NP-complete for complete multipartite graphs and the 2-PGMT problem is NP-complete for bipartite graphs. This also implies that all these three problems are NP-complete for general graphs, which solves a question proposed by the authors in a previous paper. Nevertheless, we show that the 2-PGMT problem can be solved in polynomial time for complete multipartite graphs. |
| Starting Page | 445 |
| Ending Page | 454 |
| Page Count | 10 |
| File Format | |
| ISSN | 13826905 |
| Journal | Journal of Combinatorial Optimization |
| Volume Number | 11 |
| Issue Number | 4 |
| e-ISSN | 15732886 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 2006-05-17 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Complete multipartite graphs Graph partitioning Monochromatic subgraphs Complexity Theory of Computation Mathematical Modeling and Industrial Mathematics Combinatorics Convex and Discrete Geometry Optimization Operations Research/Decision Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Control and Optimization Discrete Mathematics and Combinatorics Computational Theory and Mathematics Computer Science Applications |
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