An Implementation of Algorithms for the Minimum Connected Dominating Set Problem
碩士 === 國立中正大學 === 資訊工程研究所 === 100 === Let G = (V;E) be a simple undirected graph. A dominating set S in G is a subset of V such that each vertex in V \S is adjacent to some vertices in S. The minimum connected dominating set problem is to find a dominating set S of minimum cardinality such that G[S]...
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| Format: | Others |
| Language: | en_US |
| Published: |
2012
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| Online Access: | http://ndltd.ncl.edu.tw/handle/04123107328211242422 |
| Summary: | 碩士 === 國立中正大學 === 資訊工程研究所 === 100 === Let G = (V;E) be a simple undirected graph. A dominating set S in G is a subset of V such that each vertex in V \S is adjacent to some vertices in S. The minimum connected dominating set problem is to find a dominating set S of minimum cardinality such that G[S] is connected. It is known that the minimum connected dominating set problem is equivalent to the maximum leaf spanning tree problem. In this thesis, we slightly modify the exact algorithm given in the paper, Solving Connected Dominating Set Faster than 2n(Fomin et al.(2008)) mainly for implementation reasons and implement it to see whether the algorithm is practical in solving the minimum connected dominating set problem. Besides, we present three heuristics and run 507 random graphs with different densities to show their performance.
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