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Subexponential fixed-parameter algorithms for partial vector domination
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| Title: | Subexponential fixed-parameter algorithms for partial vector domination |
| Authors: | Ishii, Toshimasa Browse this author →KAKEN DB | | Ono, Hirotaka Browse this author →KAKEN DB | | Uno, Yushi Browse this author →KAKEN DB |
| Keywords: | (Total) vector dominating set | | Partial dominating set | | Fixed-parameter tractability | | Branchwidth | | Apex-minor-free graphs |
| Issue Date: | Nov-2016 |
| Publisher: | Elsevier |
| Journal Title: | Discrete optimization |
| Volume: | 22 |
| Issue: | A |
| Start Page: | 111 |
| End Page: | 121 |
| Publisher DOI: | 10.1016/j.disopt.2016.01.003 |
| Abstract: | Given a graph G = (V, E) of order n and an n-dimensional non-negative vector d = (d(1), d(2), ... , d(n)), called demand vector, the vector domination (resp., total vector domination) is the problem of finding a minimum S subset of V such that every vertex v in V \ S (resp., in V) has at least d(v) neighbors in S. The (total) vector domination is a generalization of many dominating set type problems, e.g., the (total) dominating set problem, the (total) k-dominating set problem (this k is different from the solution size), and so on, and subexponential fixed-parameter algorithms with respect to solution size for apex-minor-free graphs (so for planar graphs) are known. In this paper, we consider maximization versions of the problems; that is, for a given integer k, the goal is to find an S subset of V with size k that maximizes the total sum of satisfied demands. For these problems, we design subexponential fixed-parameter algorithms with respect to k for apex-minor-free graphs. (C) 2016 Elsevier B.V. All rights reserved. |
| Rights: | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Relation: | ©2016. This manuscript version is made available under the CC-BY-NC-ND 4.0 license |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/71766 |
| Appears in Collections: | 経済学院・経済学研究院 (Graduate School of Economics and Business / Faculty of Economics and Business) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 石井 利昌
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