Independence numbers of planar contact graphs

Swanepoel, Konrad ORCID: 0000-0002-1668-887X (2002) Independence numbers of planar contact graphs. Discrete and Computational Geometry, 28 (4). pp. 649-670. ISSN 0179-5376

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Abstract

We show that for a large class of convex discs C (including strictly convex discs), there exists an ε=ε(C)>0 such that the independence number of the contact graph of any packing of n translates of C in the plane is at least (1/4 + ε)n . For C a circle, we improve the lower bound of Csizmadia to 8/31n .

Item Type:	Article
Official URL:	http://www.springer.com/math/numbers/journal/454
Additional Information:	© 2009 Springer
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	09 Oct 2009 09:45
Last Modified:	11 Dec 2024 22:31
URI:	http://eprints.lse.ac.uk/id/eprint/25408

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