NDLI: Representing A Cubic Graph As The Intersection Graph Of Axis-parallel Boxes In Three Dimensions

Content Provider	Indian Institute of Science (IISc)
Author	Adiga, Abhijin Chandran, Sunil L.
Copyright Year	2012
Abstract	We show that every graph of maximum degree 3 can be represented as the intersection graph of axis parallel boxes in three dimensions, that is, every vertex can be mapped to an axis parallel box such that two boxes intersect if and only if their corresponding vertices are adjacent. In fact, we construct a representation in which any two intersecting boxes just touch at their boundaries. Further, this construction can be realized in linear time.
File Format	PDF
Journal	PeerReviewed
Language	English
Publisher	ACM Press
Publisher Date	2012-01-01
Access Restriction	Authorized
Subject Keyword	Computer Science & Automation (Formerly, School of Automation)
Content Type	Text
Resource Type	Article

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