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When is a Disk Trapped by Four Lines?

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Abstract

We use homological and geometrical methods to study the problem of determining when a convex disk is trapped by four lines.

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Authors and Affiliations

  1. Instituto de Matemáticas, Unidad Juriquilla, National University of México, Queretaro, Mexico

    Luis Montejano

  2. Fakultät für Mathematik, Technische Universität Dortmund, Dortmund, Germany

    Tudor Zamfirescu

  3. “Simion Stoilow” Institute of Mathematics, Roumanian Academy, Bucharest, Roumania

    Tudor Zamfirescu

  4. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, People’s Republic of China

    Tudor Zamfirescu

Authors
  1. Luis Montejano
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  2. Tudor Zamfirescu
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Corresponding author

Correspondence to Luis Montejano.

Additional information

Dedicated to Professor Jorge Urrutia.

L. Montejano acknowledges thankfully support of CONACYT, project 166306 and PAPIIT-UNAM project IN112614. T. Zamfirescu gratefully acknowledges financial supports by the High-end Foreign Experts Recruitment Program of People’s Republic of China. His work was also partly supported by a grant of the Roumanian National Authority for Scientific Research, CNCS – UEFISCDI, project number PN-II-ID-PCE-2011-3-0533.

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Montejano, L., Zamfirescu, T. When is a Disk Trapped by Four Lines?. Graphs and Combinatorics 31, 467–476 (2015). https://doi.org/10.1007/s00373-015-1549-y

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  • DOI: https://doi.org/10.1007/s00373-015-1549-y

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