Anticenter of Profiles in Products of Graphs

Manoj Changat (), Prasanth G. Narasimha-Shenoi (), Mary Shalet Thottungal Joseph (), Archana Sivadas () and Prakash G. Narasimha-Shenoi ()
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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

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 1, 404-413

Abstract: 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.

Keywords: Anticenter; Cartesian product; Strong product; Lexicographic product; 05C10; 05C15 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-023-00489-w

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