Open AccessFuzzy Metric Dimension of Fuzzy Hypercube Qn and Fuzzy Boolean Graphs
Author(s) -
M. Thusleem Furjana,
M. Bhanumathi
Publication year - 2020
Publication title -
international journal of engineering and advanced technology
Language(s) - English
Resource type - Journals
ISSN - 2249-8958
DOI - 10.35940/ijeat.c6226.029320
Subject(s) - hypercube , mathematics , combinatorics , discrete mathematics , vertex (graph theory) , dimension (graph theory) , metric dimension , fuzzy logic , graph , metric (unit) , line graph , artificial intelligence , computer science , pathwidth , operations management , economics
Let G = (V, E, ) be a fuzzy graph. Let M be a subset of V. M is said to be a fuzzy metric basis of G if for every pair of vertices x, y V ‒ M, there exists a vertex w M such that d (w, x) d (w, y). The number of elements in M is said to be fuzzy metric dimension (FMD) of G and is denoted by (G). The elements in M are called as source vertices. In this paper, we study the fuzzy metric dimension of fuzzy hypercube Qn, fuuzy Boolean Graph BG2 (G) and fuzzy Boolean Graph BG3 (G).