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Lower (total) mutual-visibility number in graphs

Author

Listed:
  • Brešar, Boštjan
  • Yero, Ismael G.

Abstract

Given a graph G, a set X of vertices in G satisfying that between every two vertices in X (respectively, in G) there is a shortest path whose internal vertices are not in X is a mutual-visibility (respectively, total mutual-visibility) set in G. The cardinality of a largest (total) mutual-visibility set in G is known under the name (total) mutual-visibility number, and has been studied in several recent works.

Suggested Citation

  • Brešar, Boštjan & Yero, Ismael G., 2024. "Lower (total) mutual-visibility number in graphs," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    • Handle: RePEc:eee:apmaco:v:465:y:2024:i:c:s0096300323005805
    DOI: 10.1016/j.amc.2023.128411
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    References listed on IDEAS

    as
    1. Di Stefano, Gabriele, 2022. "Mutual visibility in graphs," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    2. Cicerone, Serafino & Di Stefano, Gabriele & Klavžar, Sandi, 2023. "On the mutual visibility in Cartesian products and triangle-free graphs," Applied Mathematics and Computation, Elsevier, vol. 438(C).
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    Cited by:

    1. Korže, Danilo & Vesel, Aleksander, 2025. "Variety of mutual-visibility problems in hypercubes," Applied Mathematics and Computation, Elsevier, vol. 491(C).

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