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On the Geodesic Identification of Vertices in Convex Plane Graphs

Author

Listed:
  • Fawaz E. Alsaadi
  • Muhammad Salman
  • Masood Ur Rehman
  • Abdul Rauf Khan
  • Jinde Cao
  • Madini Obad Alassafi

Abstract

A shortest path between two vertices and in a connected graph is a geodesic. A vertex of performs the geodesic identification for the vertices in a pair if either belongs to a geodesic or belongs to a geodesic. The minimum number of vertices performing the geodesic identification for each pair of vertices in is called the strong metric dimension of . In this paper, we solve the strong metric dimension problem for three convex plane graphs by performing the geodesic identification of their vertices.

Suggested Citation

  • Fawaz E. Alsaadi & Muhammad Salman & Masood Ur Rehman & Abdul Rauf Khan & Jinde Cao & Madini Obad Alassafi, 2020. "On the Geodesic Identification of Vertices in Convex Plane Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, December.
    • Handle: RePEc:hin:jnlmpe:7483291
    DOI: 10.1155/2020/7483291
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