Boxicity and maximum degree

Chandran, L Sunil and Francis, Mathew C and Sivadasan, Naveen (2008) Boxicity and maximum degree. In: Journal of Combinatorial Theory - Series B, 98 (2). pp. 443-445.

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Abstract

A d-dimensional box is a Cartesian product of d closed intervals on the real line. The boxicity of a graph is the minimum dimension d such that it is representable as the intersection graph of d-dimensional boxes. We give a short constructive proof that every graph with maximum degree D has boxicity at most 2D2. We also conjecture that the best upper bound is linear in D.

Item Type:	Journal Article
Additional Information:	Copyright of this article belongs to Elsevier Science.
Keywords:	Boxicity;Maximum degree;Square of a graph;Chromatic number.
Department/Centre:	Division of Electrical Sciences > Computer Science & Automation (Formerly, School of Automation)
Date Deposited:	09 Mar 2010 07:02
Last Modified:	19 Sep 2010 05:56
URI:	http://eprints.iisc.ernet.in/id/eprint/26048

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