The Rectilinear Crossing Number of K n: Closing in (or Are We?)

Bernardo M. Ábrego (), Silvia Fernández-Merchant () and Gelasio Salazar ()
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Bernardo M. Ábrego: California State University at Northridge, Department of Mathematics
Silvia Fernández-Merchant: California State University at Northridge, Department of Mathematics
Gelasio Salazar: Universidad Autónoma de San Luis Potosí, Instituto de Física

A chapter in Thirty Essays on Geometric Graph Theory, 2013, pp 5-18 from Springer

Abstract: Abstract The calculation of the rectilinear crossing number of complete graphs is an important open problem in combinatorial geometry, with important and fruitful connections to other classical problems. Our aim in this chapter is to survey the body of knowledge around this parameter. Mathematics Subject Classification (2010): 52C30, 52C10, 52C45, 05C62, 68R10, 60D05, 52A22

Keywords: Aichholzer; Rectilinear Drawing; Convex Quadrilaterals; Order Type; Threefold Symmetry (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-0110-0_2

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DOI: 10.1007/978-1-4614-0110-0_2

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