Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Hamiltonicity of connected domination critical graphs

    Access Status
    Fulltext not available
    Authors
    Kaemawichanurat, P.
    Caccetta, Louis
    Ananchuen, W.
    Date
    2018
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Kaemawichanurat, P. and Caccetta, L. and Ananchuen, W. 2018. Hamiltonicity of connected domination critical graphs. Ars Combinatoria. 136: pp. 127-151.
    Source Title
    Ars Combinatoria
    ISSN
    0381-7032
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    URI
    http://hdl.handle.net/20.500.11937/68952
    Collection
    • Curtin Research Publications
    Abstract

    © 2018 Charles Babbage Research Centre. All rights reserved. A graph G is said to be k-yc-critical if the connected domination number yc(G) of G is k and yc(G + uv) < k for every uv ? E(G). The problem of interest for a positive integer I > 2 is to determine whether or not l-connected k-yc-critical graphs are Hamiltonian. In this paper, for I > 2, we prove that if k - 1,2 or 3, then every l-connected k-yc-critical graph is Hamiltonian. We further show that, for n > (k - 1)k + 3, the class of i-connected Jt-yc-critical non-Hamiltonian graphs of order n is empty if and only if k = 1,2 or 3.

    Related items

    Showing items related by title, author, creator and subject.

    • Graphs that are critical with respect to matching extension and diameter
      Ananchuen, Nawarat (1994)
      Let G be a simple connected graph on 2n vertices with a perfect matching. For 1 ≤ k ≤ n - 1, G is said to be k-extendable if for every matching M of size k in G there is a perfect matching in G containing all the edges ...
    • Critical graphs with respect to total domination and connected domination
      Kaemawichanurat, P.; Caccetta, Louis; Ananchuen, N. (2016)
      A graph G is said to be k-γt -critical if the total domination number γt(G)= k and γt (G + uv) < k for every uv /∈ E(G). A k-γc-critical graph G is a graph with the connected domination number γc(G) = k and γc(G + uv) < ...
    • Bounds on the order of connected domination vertex critical graphs
      Kaemawichanurat, P.; Caccetta, Louis; Ananchuen, N. (2018)
      A vertex subset D of G is a dominating set of G if every vertex in V(G)-D is adjacent to a vertex in D. Moreover, a dominating set D of G is a connected dominating set if G[D] is connected. The minimum cardinality of a ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.