Swanepoel, Konrad (2002) Independence numbers of planar contact graphs. Discrete and computational geometry, 28 (4). pp. 649-670. ISSN 0179-5376
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 .
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|Library of Congress subject classification:||Q Science > QA Mathematics|
|Sets:||Departments > Mathematics|
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