On the metric dimension of corona product of graphs

H Iswadi, ET Baskoro… - Far East Journal of …, 2011 - repository.ubaya.ac.id
For an ordered set W={w_1, w_2,..., w_k} of vertices and a vertex v in a connected graph G,
the representation of v with respect to W is the ordered k-tuple r (v| W)=(d (v, w_1), d (v …

The resolving graph of amalgamation of cycles

H Iswadi, ET Baskoro, ANM Salman… - Utilitas …, 2010 - repository.ubaya.ac.id
For an ordered set W={w_1, w_2,..., w_k} of vertices and a vertex v in a connected graph G,
the representation of v with respect to W is the ordered k-tuple r (v| W)=(d (v, w_1), d (v …

The metric dimension of graph with pendant edges

H Iswadi, ET Baskoro, R Simanjuntak… - The Journal of …, 2008 - repository.ubaya.ac.id
For an ordered set W={w_1, w_2,..., w_k} of vertices and a vertex v in a connected graph G,
the representation of v with respect to W is the ordered k-tuple r (v| W)=(d (v, w_1), d (v …

On the metric dimension and spectrum of graphs

M Farhan, ET Baskoro - Communications in Combinatorics …, 2024 - comb-opt.azaruniv.ac.ir
The algebraic approach to graph theoretical problems has been extensively studied by
looking at the spectrum of a graph's representation matrix. In this paper, we investigate some …

Independent resolving number of convex polytopes

B Suganya, S Arumugam - … 2016, Krishnankoil, India, December 19-21 …, 2017 - Springer
Abstract Let G=(V, E) G=(V, E) be a connected graph. Let W={w_1, w_2,\dots, w_k\} W= w 1,
w 2,⋯, wk be a subset of V with an order imposed on it. Then W is called a resolving set for G …

Neighbourhood resolving sets in graphs-I

S Suganthi, V Swaminathan, G Jothilakshmi… - J. Math. Comput …, 2012 - scik.org
PJ Slater [21] in 1975 introduced the concepts of locating sets and locating number in
graphs. Subsequently with minor changes in terminology, this concept was elaborately …

Metric dimension of the corona product of graphs

BS Rawat, P Pradhan - Smart Computing, 2021 - taylorfrancis.com
Operations on graphs are an important tool, not only for developing new graphs from
original ones but also as a convenient way to consider a large graph as a combination of …

[引用][C] On Study of Some Bounds for Fault-Tolerant Metric Dimension and Adjacency Fault-Tolerant Resolving Set of Corona Product Graphs

MA Shahzad, N Ali, SAO Abdallah… - Discrete Mathematics …, 2024 - World Scientific
In this article, we investigate bounds for the fault-tolerant metric dimension and adjacency
fault-tolerant resolving set of corona product graphs. Let Q and R be two graphs with orders …