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Metric dimension, doubly resolving set and strong metric dimension for $(C_n\Box P_k)\Box P_m$
- Publication Year :
- 2021
-
Abstract
- A subset $Q = \{q_1, q_2, ..., q_l\}$ of vertices of a connected graph $G$ is a doubly resolving set of $G$ if for any various vertices $x, y \in V(G)$ we have $r(x|Q)-r(y|Q)\neq\lambda I$, where $\lambda$ is an integer, and $I$ indicates the unit $l$- vector $(1,..., 1)$. A doubly resolving set of vertices of graph $G$ with the minimum size, is denoted by $\psi(G)$. In this work, we will consider the computational study of some resolving sets with the minimum size for $(C_n\Box P_k)\Box P_m$.<br />Comment: arXiv admin note: substantial text overlap with arXiv:2103.15560
- Subjects :
- Mathematics - Combinatorics
05C12, 05C76
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2108.08733
- Document Type :
- Working Paper