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On edges crossing few other edges in simple topological complete graphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F06%3A00206166" target="_blank" >RIV/00216208:11320/06:00206166 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On edges crossing few other edges in simple topological complete graphs

  • Original language description

    Let $h=h(n)$ be the smallest integer such that every simple topological complete graph on $n$ vertices contains an edge crossing at most $h$ other edges. We show that $Omega(n^{3/2})le h(n) le O(n^2/log^{1/4}n)$. We also show that the analogous function on other surfaces (torus, Klein bottle) grows as $cn^2$.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/1M0545" target="_blank" >1M0545: Institute for Theoretical Computer Science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Graph Drawing

  • ISBN

    3-540-31425-3

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • Event location

    Berlin

  • Event date

    Jan 1, 2006

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000235806300025