Minimal Restrained Domination Algorithms on Trees Using Dynamic Programming
- ASU Author/Contributor (non-ASU co-authors, if there are any, appear on document)
- Jeremy Booker (Creator)
- Institution
- Appalachian State University (ASU )
- Web Site: https://library.appstate.edu/
- Advisor
- Alice McRae
Abstract: In this paper we study a special case of graph domination, namely minimal restrained dominating sets on trees. A set S ? V is a dominating set if for every vertex u ? V-S, there exists v ? S such that uv ? E. A set S ? V is a restrained dominating set if every vertex in V-S is adjacent to a vertex in S and another vertex in V-S. A restrained dominating set S is a minimal restrained dominating set if no proper subset of S is also a restrained dominating set. We give a dynamic programming style algorithm for generating largest minimal restrained dominating sets for trees and show that the decision problem for minimal restrained dominating sets is NP-complete for general graphs. We also consider independent restrained domination on trees and its associated decision problem for general graphs.
Minimal Restrained Domination Algorithms on Trees Using Dynamic Programming
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Created on 3/25/2014
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Additional Information
- Publication
- Thesis
- Booker, J. (2013). Minimal Restrained Domination Algorithms on Trees Using Dynamic Programming. Unpublished master’s thesis. Appalachian State University, Boone, NC.
- Language: English
- Date: 2013
- Keywords
- Graph domination, Restrained dominating sets on trees, Independent restrained dominating sets on trees , Minimal restrained dominating sets