• Login
    View Item 
    •   Home
    • Brock Theses
    • Masters Theses
    • M.Sc. Mathematics and Statistics
    • View Item
    •   Home
    • Brock Theses
    • Masters Theses
    • M.Sc. Mathematics and Statistics
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of BrockUCommunitiesPublication DateAuthorsTitlesSubjectsThis CollectionPublication DateAuthorsTitlesSubjectsProfilesView

    My Account

    LoginRegister

    Statistics

    Display statistics

    Acyclic 5-Choosability of Planar Graphs Without Adjacent Short Cycles

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Brock_Ferrei_Susanna_2013.pdf
    Size:
    626.5Kb
    Format:
    PDF
    Description:
    Thesis
    Download
    Author
    Ferreri, Susanna
    Keyword
    Graph Theory
    planar graphs
    choosability
    acyclic
    
    Metadata
    Show full item record
    URI
    http://hdl.handle.net/10464/4957
    Abstract
    The conjecture claiming that every planar graph is acyclic 5-choosable[Borodin et al., 2002] has been verified for several restricted classes of planargraphs. Recently, O. V. Borodin and A. O. Ivanova, [Journal of Graph Theory,68(2), October 2011, 169-176], have shown that a planar graph is acyclically 5-choosable if it does not contain an i-cycle adjacent to a j-cycle, where 3<=j<=5 if i=3 and 4<=j<=6 if i=4. We improve the above mentioned result and prove that every planar graph without an i-cycle adjacent to a j-cycle with3<=j<=5 if i=3 and 4<=j<=5 if i=4 is acyclically 5-choosable.
    Collections
    M.Sc. Mathematics and Statistics

    entitlement

     
    DSpace software (copyright © 2002 - 2023)  DuraSpace
    Quick Guide | Contact Us
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.