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Two Isoperimetric Problems for Euclidean Simplices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F06%3A00043107" target="_blank" >RIV/67985807:_____/06:00043107 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Two Isoperimetric Problems for Euclidean Simplices

  • Original language description

    Best possible bounds for the two relationships are found: 1. between the n-th power of the length of the shortest Hamilton path on edges and the volume of an n-simplex; 2. between the n-th power of the girth (i.e., of the shortest closed Hamilton polynomof edges) and the volume of an n-simplex.

  • Czech name

    Dva izoperimetrické problémy pro euklidovské simplexy

  • Czech description

    Jsou nalezeny nejlepší možné odhady pro tyto vztahy v n-simplexu: 1. mezi n-tou mocninou délky nejkratší hamiltonovské cesty na hranách a objemu; 2. mezi n-tou mocninou obvodu (tj. délky nejkratšího uzavřeného hamiltonovského polygonu z hran) a objemem.

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/IAA1030302" target="_blank" >IAA1030302: Special classes of matrices</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

  • Book/collection name

    Topics in Discrete Mathematics. Dedicated to Jarik Nešetřil on the Occasion of his 60th Birthday

  • ISBN

    3-540-33698-2

  • Number of pages of the result

    5

  • Pages from-to

    65-69

  • Number of pages of the book

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • UT code for WoS chapter