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General Position and Edge General Position Problems for Unitary Cayley Graphs: A Direct Product Approach

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  • Zahra Hamed-Labbafian
  • Mostafa Tavakoli

Abstract

Let G be a connected graph. A subset S⊆VG is called a general position set of a graph G if no shortest path in G contains more than two vertices from S. Likewise, a subset X⊆EG is an edge general position set if no shortest path contains more than two edges from X. The maximum cardinalities of such sets are known as the general position number and the edge general position number, respectively. This paper focuses on determining these values for the unitary Cayley graph GZn, employing structural methods based on the direct product of graphs. For n=p1α1p2α2 with p1

Suggested Citation

  • Zahra Hamed-Labbafian & Mostafa Tavakoli, 2026. "General Position and Edge General Position Problems for Unitary Cayley Graphs: A Direct Product Approach," Journal of Mathematics, Hindawi, vol. 2026, pages 1-9, August.
    • Handle: RePEc:hin:jjmath:3684640
    DOI: 10.1155/jom/3684640
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