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

In: Thirty Essays on Geometric Graph Theory

Author

Listed:
  • 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)

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

Suggested Citation

  • Bernardo M. Ábrego & Silvia Fernández-Merchant & Gelasio Salazar, 2013. "The Rectilinear Crossing Number of K n : Closing in (or Are We?)," Springer Books, in: János Pach (ed.), Thirty Essays on Geometric Graph Theory, pages 5-18, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-0110-0_2
    DOI: 10.1007/978-1-4614-0110-0_2
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