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A Lower Bound for the Rectilinear Crossing Number
Authors:Bernardo M Ábrego  Silvia Fernández-Merchant
Institution:(1) Department of Mathematics, California State University Northridge, 18111 Nordhoff, St. Northridge, CA 91330-8313, USA
Abstract:We give a new lower bound for the rectilinear crossing number MediaObjects/s00373-005-0612-5flb1.gif of the complete geometric graph Kn. We prove that MediaObjects/s00373-005-0612-5flb2.gif and we extend the proof of the result to pseudolinear drawings of Kn. Dedicated to the memory of our good friend and mentor Víctor Neumann-Lara. Received: April, 2003 Final version received: March 18, 2005
Keywords:Crossing number  Allowable sequence  k-set  Convex quadrilateral
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