journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2240 Codes from k-resolving sets for some products  Huilgol Medha Itagi Department of Mathematics, Bengaluru City University, Bengaluru, Karnataka, India D’Souza Grace Divya Department of Mathematics, Bengaluru City University, Bengaluru, Karnataka, India Cangul Ismail Naci Department of Mathematics, Bursa Uludag University, Nilüfer, 16059, Turkey 29 4 1565 1577 12 07 2025

In this paper, codes for Cartesian product of graphs such as Kt  Ps and strong product of graphs such as Kt  Ps using k-resolving sets are determined. We also obtain infinite families of Kt  Ps and Kt  Ps of k-dimension. Also, the k-metric dimension of Kt  Ps and Kt  Ps is studied, an exact formula for their dimensions is determined and the codes are obtained.

 Codes k-resolving k-metric basis Cartesian product Strong product access open retracted no