IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v507y2025ics0096300325003157.html

Rainbow independent triangles in complete split graphs

Author

Listed:
  • Wang, Q.
  • Jin, Z.M.

Abstract

For two graphs K and H, where K contains H as a subgraph, the anti-Ramsey number of H in K, denoted by AR(K,H), is the largest integer k such that there exists a k-edge-coloring of K containing no rainbow H. Let 2C3 denote the union of two independent triangles. In this paper we obtain the value of AR(Ks‾+Kn,2C3) for s≥1,n≥4 and s+n≥6.

Suggested Citation

  • Wang, Q. & Jin, Z.M., 2025. "Rainbow independent triangles in complete split graphs," Applied Mathematics and Computation, Elsevier, vol. 507(C).
    • Handle: RePEc:eee:apmaco:v:507:y:2025:i:c:s0096300325003157
    DOI: 10.1016/j.amc.2025.129589
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300325003157
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2025.129589?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Hu, Wenjie & Li, Yibo & Liu, Huiqing & Hu, Xiaolan, 2023. "Anti-Ramsey problems in the Mycielskian of a cycle," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    2. Jin, Zemin & Wang, Fang & Wang, Huaping & Lv, Bihong, 2020. "Rainbow triangles in edge-colored Kneser graphs," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    3. Xu, Jiale & Lu, Mei & Liu, Ke, 2021. "Anti-Ramsey problems for cycles," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    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. Hu, Wenjie & Li, Yibo & Liu, Huiqing & Hu, Xiaolan, 2023. "Anti-Ramsey problems in the Mycielskian of a cycle," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    2. Bedo, Marcos & Leite, João V.S. & Oliveira, Rodolfo A. & Protti, Fábio, 2023. "Geodetic convexity and kneser graphs," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    3. Liu, Huiqing & Lu, Mei & Zhang, Shunzhe, 2022. "Anti-Ramsey numbers for cycles in the generalized Petersen graphs," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    4. Qin, Zhongmei & Lei, Hui & Li, Shasha, 2020. "Rainbow numbers for small graphs in planar graphs," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    5. Yair Caro & Zsolt Tuza, 2024. "Monochromatic Graph Decompositions Inspired by Anti-Ramsey Theory and Parity Constraints," Mathematics, MDPI, vol. 12(23), pages 1-33, November.

    More about this item

    Keywords

    ;
    ;
    ;

    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:eee:apmaco:v:507:y:2025:i:c:s0096300325003157. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.