Abstract | ||
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Given an undirected connected graph G we consider the problem of finding a spanning tree of G with a maximum number of internal ( ⩾ 2 degree) vertices. This problem, called the Maximum Internal Spanning Tree problem, is obviously NP-hard since it generalizes the Hamiltonian Path problem. In this paper we aim at giving a survey on recent results about the Maximum Internal Spanning Tree problem including different approaches such as exact exponential algorithms, fixed parameter tractability, and approximation algorithms. We also consider the problem of finding a large ( ⩽ q )-leaf subtree of the input graph for some fixed q . Keywords Spanning tree leaves Hamiltonian path approximation algorithm |
Year | DOI | Venue |
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2010 | 10.1016/j.endm.2010.05.153 | Electronic Notes in Discrete Mathematics |
Keywords | Field | DocType |
hamiltonian path problem,hamiltonian path,approximation algorithm,spanning tree,connected graph | Discrete mathematics,Combinatorics,Steiner tree problem,k-minimum spanning tree,Algorithm,Euclidean minimum spanning tree,Spanning tree,Connected dominating set,Shortest-path tree,Gomory–Hu tree,Mathematics,Minimum spanning tree | Journal |
Volume | ISSN | Citations |
36 | Electronic Notes in Discrete Mathematics | 8 |
PageRank | References | Authors |
0.59 | 7 | 1 |
Name | Order | Citations | PageRank |
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Gábor Salamon | 1 | 46 | 3.61 |