Minimum Fault-Tolerant, local and strong metric dimension of graphs

Autor:	Salman, Muhammad, Javaid, Imran, Chaudhry, Muhammad Anwar
Rok vydání:	2014
Předmět:	Mathematics - Combinatorics 05C12
Druh dokumentu:	Working Paper
Popis:	In this paper, we consider three similar optimization problems: the fault-tolerant metric dimension problem, the local metric dimension problem and the strong metric dimension problem. These problems have applications in many diverse areas, including network discovery and verification, robot navigation and chemistry, etc. We give integer linear programming formulations of the fault-tolerant metric dimension problem and the local metric dimension problem. Also, we study local metric dimension and strong metric dimension of two convex polytopes $S_n$ and $U_n$. Comment: 19 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1409.2695 Zobrazit plný text záznamu View this record from Arxiv