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Closure, 2-factors, and cycle coverings in 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%2F99%3A00043067" target="_blank" >RIV/49777513:23520/99:00043067 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Closure, 2-factors, and cycle coverings in claw-free graphs

  • Original language description

    In this paper we study cycle coverings and 2-factors of a claw-free graph and those of its closure, which has been defined by the first author (On a closure concept in claw-free graphs, J. Combinatorial Theory Ser. B 70 (1997), 217-224). For a claw-freeraph G and its closure cl(G), we prove (1) V(G) is covered by k cycles in G if and only if V(cl(G)) is covered by k cycles of cl(G), and (2) G has a 2-factor with at most k components if and only if cl(G) has a 2-factor with at most k components.

  • 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

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    1999

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Closure, 2-factors, and cycle coverings in claw-free graphs

  • ISSN

    03649024

  • e-ISSN

  • Volume of the periodical

    Vol.^32

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    9

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database