Separators are as simple as cutsets

Hong Shen, Keqin Li, Si Qing Zheng

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Citations (Scopus)

Abstract

We show that all minimal a-b separators (vertex sets) dis- connecting a pair of given non-adjacent vertices a and b in an undirected and connected graph with n vertices can be computed in O(n2Rab) time, where Rab is the number of minimal a-b separators. This result matches the known worst-case time complexity of its counterpart problem of com- puting all a-b cutsets (edge sets) [13] and solves an open problem posed in [11].

Original languageEnglish
Title of host publicationAdvances in Computing Science - ASIAN 1999 - 5th Asian Computing Science Conference, Proceedings
EditorsRoland Yap, P.S. Thiagarajan
PublisherSpringer Verlag
Pages347-358
Number of pages12
ISBN (Print)354066856X, 9783540668565
DOIs
Publication statusPublished - 1999
Externally publishedYes
Event5th Asian Computing Science Conference on Advances in Computing Science, ASIAN 1999 - Phuket, Thailand
Duration: 10 Dec 199912 Dec 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1742
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th Asian Computing Science Conference on Advances in Computing Science, ASIAN 1999
Country/TerritoryThailand
CityPhuket
Period10/12/9912/12/99

Keywords

  • Algorithms
  • Complexity analysis
  • Cutsets
  • Data structures
  • Separators

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