Your Rugby Mates Don’t Need to Know Your Colleagues: Triadic Closure with Edge Colors

Laurent Bulteau, Niels Grüttemeier, Christian Komusiewicz, Manuel Sorge

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

2 Scopus citations

Abstract

Given an undirected graph the NP-hard Strong Triadic Closure (STC) problem asks for a labeling of the edges as weak and strong such that at most k edges are weak and for each induced in G at least one edge is weak. In this work, we study the following generalizations of STC with c different strong edge colors. In Multi-STC an induced may receive two strong labels as long as they are different. In Edge-List Multi-STC and Vertex-List Multi-STC we may additionally restrict the set of permitted colors for each edge of G. We show that, under the ETH, Edge-List Multi-STC and Vertex-List Multi-STC cannot be solved in time, and that Multi-STC is NP-hard for every fixed c. We then extend previous fixed-parameter tractability results and kernelizations for STC to the three variants with multiple edge colors or outline the limits of such an extension.

Original languageEnglish
Title of host publicationAlgorithms and Complexity - 11th International Conference, CIAC 2019, Proceedings
EditorsPinar Heggernes
PublisherSpringer Verlag
Pages99-111
Number of pages13
ISBN (Print)9783030174019
DOIs
StatePublished - 1 Jan 2019
Externally publishedYes
Event11th International Conference on Algorithms and Complexity, CIAC 2019 - Rome, Italy
Duration: 27 May 201929 May 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11485 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Conference on Algorithms and Complexity, CIAC 2019
Country/TerritoryItaly
CityRome
Period27/05/1929/05/19

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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