On local structures of cubicity 2 graphs

Sujoy Bhore, Dibyayan Chakraborty, Sandip Das, Sagnik Sen

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

2 Scopus citations

Abstract

A 2-stab unit interval graph (2SUIG) is an axes-parallel unit square intersection graph where the unit squares intersect either of the two fixed lines parallel to the X-axis, distance 1 + ε (0 < ε < 1) apart. This family of graphs allow us to study local structures of unit square intersection graphs, that is, graphs with cubicity 2. The complexity of determining whether a tree has cubicity 2 is unknown while the graph recognition problem for unit square intersection graph is known to be NP-hard. We present a linear time algorithm for recognizing trees that admit a 2SUIG representation.

Original languageEnglish
Title of host publicationCombinatorial Optimization and Applications - 10th International Conference, COCOA 2016, Proceedings
EditorsMinming Li, Lusheng Wang, T-H. Hubert Chan
PublisherSpringer Verlag
Pages254-269
Number of pages16
ISBN (Print)9783319487489
DOIs
StatePublished - 1 Jan 2016
Event10th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2016 - Hong Kong, China
Duration: 16 Dec 201618 Dec 2016

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10043 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference10th Annual International Conference on Combinatorial Optimization and Applications, COCOA 2016
Country/TerritoryChina
CityHong Kong
Period16/12/1618/12/16

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science (all)

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