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Matching-Type Image-Labelings of Trees

Author

Listed:
  • Jing Su

    (School of Electronics Engineering and Computer Science, Peking University, No. 5 Yiheyuan Road, Haidian Distruct, Beijing 100871, China
    These authors contributed equally to this work.)

  • Hongyu Wang

    (National Computer Network Emergency Response Technical Team/Coordination Center of China, Beijing 100029, China
    These authors contributed equally to this work.)

  • Bing Yao

    (College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
    These authors contributed equally to this work.)

Abstract

A variety of labelings on trees have emerged in order to attack the Graceful Tree Conjecture, but lack showing the connections between two labelings. In this paper, we propose two new labelings: vertex image-labeling and edge image-labeling, and combine new labelings to form matching-type image-labeling with multiple restrictions. The research starts from the set-ordered graceful labeling of the trees, and we give several generation methods and relationships for well-known labelings and two new labelings on trees.

Suggested Citation

  • Jing Su & Hongyu Wang & Bing Yao, 2021. "Matching-Type Image-Labelings of Trees," Mathematics, MDPI, vol. 9(12), pages 1-8, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1393-:d:575679
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