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Anticenter of Profiles in Products of Graphs

Author

Listed:
  • Manoj Changat

    (University of Kerala)

  • Prasanth G. Narasimha-Shenoi

    (Government College Chittur)

  • Mary Shalet Thottungal Joseph

    (Government College Chittur)

  • Archana Sivadas

    (Government College Chittur)

  • Prakash G. Narasimha-Shenoi

    (Maharaja’s College Ernakulam)

Abstract

A profile on a graph G is a sequence of vertices in which repetitions are allowed. The anticenter of a profile in G is the set of vertices in G that maximize the maximum distance to the profile. In this paper, the anticenter of profiles in various graph products, namely, Cartesian product, strong product, and lexicographic product is studied.

Suggested Citation

  • Manoj Changat & Prasanth G. Narasimha-Shenoi & Mary Shalet Thottungal Joseph & Archana Sivadas & Prakash G. Narasimha-Shenoi, 2025. "Anticenter of Profiles in Products of Graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 56(1), pages 404-413, March.
    • Handle: RePEc:spr:indpam:v:56:y:2025:i:1:d:10.1007_s13226-023-00489-w
    DOI: 10.1007/s13226-023-00489-w
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    References listed on IDEAS

    as
    1. Edward Minieka, 1977. "The Centers and Medians of a Graph," Operations Research, INFORMS, vol. 25(4), pages 641-650, August.
    2. S. L. Hakimi, 1964. "Optimum Locations of Switching Centers and the Absolute Centers and Medians of a Graph," Operations Research, INFORMS, vol. 12(3), pages 450-459, June.
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