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An Optimal Algorithm to Find Minimum K-hop Dominating Set Sukumar Mondal
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An Optimal Algorithm to Find Minimum K-hop Dominating Set
Sukumar Mondal
Domination in graphs has been an extensively researched branch of graph theory. Among the variations of dominations, k-hop domination has been brie?y discussed in the past and it has important applications in communication networks. In this book, we consider the problem of ?nding a minimum k-hop dominating set of interval graphs. For this purpose, we ?rst construct the BFS-tree T with root as 1. After then we identify the main path of the BFS-tree T. Next we ?nd the ?rst member of k-hop dominating set of interval graph, by using some results. Then we ?nd the next member of k-hop dominating set by a procedure FindNext. Here, we proposed an O(n) time algorithm to ?nd a minimum k-hop dominating set of undirected and connected interval graphs with n vertices
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | October 22, 2019 |
| ISBN13 | 9786200248572 |
| Publishers | LAP Lambert Academic Publishing |
| Pages | 64 |
| Dimensions | 152 × 229 × 4 mm · 113 g |
| Language | English |
