Weighted k-path Vertex Cover Problem in Cactus Graphs

碩士 === 國立臺灣科技大學 === 資訊管理系 === 103 === A subset S of vertices in graph G is a k-path vertex cover if every path of order k in G contains at least one vertex from S. The cardinality of a minimum k-path vertex cover is called the k-path vertex cover number of a graph G. In this thesis, we consider the...

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Bibliographic Details
Main Authors: Guo-Jun Liao, 廖國鈞
Other Authors: Yue-li Wang
Format: Others
Language:en_US
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/74897149092914985575
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Summary:碩士 === 國立臺灣科技大學 === 資訊管理系 === 103 === A subset S of vertices in graph G is a k-path vertex cover if every path of order k in G contains at least one vertex from S. The cardinality of a minimum k-path vertex cover is called the k-path vertex cover number of a graph G. In this thesis, we consider the weighted version of a k-path vertex cover problem, in which vertices are given weights, and propose an O(n3) algorithm for solving this problem in cactus graphs.