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<<A>> note on degree conditions for hamiltonicity in 2-connected claw-free graphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F02%3A00073312" target="_blank" >RIV/49777513:23520/02:00073312 - isvavai.cz</a>

  • Alternative codes found

    RIV/49777513:23520/02:00000094 RIV/49777513:23520/02:00000095

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    <<A>> note on degree conditions for hamiltonicity in 2-connected claw-free graphs

  • Original language description

    Let Gbe a claw-free graph and let cl(G) be the closure of G. We present a method for characterizing classes $G_1, i=3,dots 7$ of 2-connected closed claw-free graphs with the following property: if $G$ is a 2-connected claw-free graph of order $ngeqslant 153$ with $delta (G) geqslant (n+39)/8$, then either $G$ is hamiltonian or cl $(G) in bigcup^7_{i=3} G_i$. The family of exceptions contains 318 infinite classes. The majority of these exception classes were found with the help of a computer.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LB98246" target="_blank" >LB98246: Supercomputing support - project Lyra</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

    2002

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Discrete Mathematics

  • ISSN

    0012365X

  • e-ISSN

  • Volume of the periodical

    Vol. 244

  • Issue of the periodical within the volume

    leden

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    16

  • Pages from-to

    253

  • UT code for WoS article

  • EID of the result in the Scopus database