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On the Hardness of Reachability Reduction

  • Georgia State University

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

Abstract

A class of reachability reduction problem is raised in the area of computer network security and software engineering. We revisit the reachability reduction problem on vertex labeled graphs in which labels are representing multiple roles. In this paper, reachability reduction is modeled based on a kind of graph cut problem aiming to disconnect those reachable label pairs specified in advance by edge deletion while minimizing the number of pairs have to be disconnected, and followed by some potential applications where our model can be applied. Based on our unified model, we provide a comprehensive complexity analysis of this problem under different conditions, to provide the hardness hierarchy of reachability preserved cut problem. Result in this paper implies that reachability reduction is typically at least harder in directed graph than its undirected counterpart, even beyond NP under generalized inputs.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 25th International Conference, COCOON 2019, Proceedings
EditorsDing-Zhu Du, Zhenhua Duan, Cong Tian
PublisherSpringer Verlag
Pages445-455
Number of pages11
ISBN (Print)9783030261757
DOIs
StatePublished - 2019
Event25th International Computing and Combinatorics Conference, COCOON 2019 - Xi'an, China
Duration: 29 Jul 201931 Jul 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11653 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference25th International Computing and Combinatorics Conference, COCOON 2019
Country/TerritoryChina
CityXi'an
Period29/07/1931/07/19

Keywords

  • Complexity
  • Graph cut
  • Reachability reduction

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