Critical and maximum independent sets revisited

Vadim E. Levit, Eugen Mandrescu

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

Abstract

Let G be a simple graph with vertex set V(G). A set (formula presented) is independent if no two vertices from S are adjacent, and by (formula presented) we mean the family of all independent sets of G. The number (formula presented) is the difference of (formula presented), and a set (formula presented) is critical if (formula presented) [34]. Let us recall the following definitions: (formula presented) [16],(formula presented) [5],(formula presented) [18],(formula presented) [12](formula presented) [24]. In this paper we focus on interconnections between (formula presented), core, corona, (formula presented), and diadem.

Original languageEnglish
Title of host publicationMathematical Optimization Theory and Operations Research - 18th International Conference, MOTOR 2019, Proceedings
EditorsMichael Khachay, Yury Kochetov, Panos Pardalos
Pages3-18
Number of pages16
DOIs
StatePublished - 2019
Event18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019 - Ekaterinburg, Russian Federation
Duration: 8 Jul 201912 Jul 2019

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume11548 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019
Country/TerritoryRussian Federation
CityEkaterinburg
Period8/07/1912/07/19

Keywords

  • Core
  • Corona
  • Critical set
  • Diadem
  • Independent set
  • Ker
  • Matching

Fingerprint

Dive into the research topics of 'Critical and maximum independent sets revisited'. Together they form a unique fingerprint.

Cite this