IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n849748.html

General Vertex‐Distinguishing Total Coloring of Graphs

Author

Listed:
  • Chanjuan Liu
  • Enqiang Zhu

Abstract

The general vertex‐distinguishing total chromatic number of a graph G is the minimum integer k, for which the vertices and edges of G are colored using k colors such that any two vertices have distinct sets of colors of them and their incident edges. In this paper, we figure out the exact value of this chromatic number of some special graphs and propose a conjecture on the upper bound of this chromatic number.

Suggested Citation

  • Chanjuan Liu & Enqiang Zhu, 2014. "General Vertex‐Distinguishing Total Coloring of Graphs," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:849748
    DOI: 10.1155/2014/849748
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/849748
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/849748?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Haiying Wang, 2007. "On the adjacent vertex-distinguishing total chromatic numbers of the graphs with Δ (G) = 3," Journal of Combinatorial Optimization, Springer, vol. 14(1), pages 87-109, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Enqiang Zhu & Chanjuan Liu & Jiguo Yu, 2020. "Neighbor product distinguishing total colorings of 2-degenerate graphs," Journal of Combinatorial Optimization, Springer, vol. 39(1), pages 72-76, January.
    2. Xiaohan Cheng & Jianliang Wu, 2018. "The adjacent vertex distinguishing total choosability of planar graphs with maximum degree at least eleven," Journal of Combinatorial Optimization, Springer, vol. 35(1), pages 1-13, January.
    3. Joanna Skowronek-Kaziów, 2017. "Graphs with multiplicative vertex-coloring 2-edge-weightings," Journal of Combinatorial Optimization, Springer, vol. 33(1), pages 333-338, January.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:849748. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.