The Bridge-connectivity Augmentation Problem with a partition Constraint
學年 98
學期 2
出版(發表)日期 2010-06-01
作品名稱 The Bridge-connectivity Augmentation Problem with a partition Constraint
作品名稱(其他語言)
著者 Chen, Yen-Chiu; Wei, Hsin-Wen; Huang, Pei-Chi; Shih, Wei-Kuan; Hsu, Tsan-sheng
單位 淡江大學電機工程學系
出版者 Amsterdam: Elsevier BV
著錄名稱、卷期、頁數 Theoretical Computer Science 411(31–33), pp.2878–2889
摘要 In this paper, we consider the augmentation problem of an undirected graph with k partitions of its vertices. The main issue is how to add a set of edges with the smallest possible cardinality so that the resulting graph is 2-edge-connected, i.e., bridge-connected, while maintaining the original partition constraint. To solve the problem, we propose a simple linear-time algorithm. To the best of our knowledge, the most efficient sequential algorithm runs in O(n(m+nlogn)logn) time. However, we show that it can also run in O(logn) parallel time on an EREW PRAM using a linear number of processors, where n is the number of vertices in the input graph. If a simple graph exists, our main algorithm ensures that it is as simple as possible.
關鍵字 2-edge-connectivity; Bridge-connectivity; Augmentation; Partition constraint
語言 en
ISSN 0304-3975
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Wei, Hsin-Wen
審稿制度
國別 NLD
公開徵稿 Y
出版型式 紙本
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