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Boxicity and maximum degree

Chandran, Sunil L 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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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
Publication: Journal of Combinatorial Theory - Series B
Publisher: Elsevier Science
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
Date Deposited: 09 Mar 2010 07:02
Last Modified: 28 Feb 2019 08:41
URI: http://eprints.iisc.ac.in/id/eprint/26048

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