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On the Local Multiset Dimension of Graph With Homogenous Pendant Edges
(Journal of Physics: Conference Series, 2019-12-01)
Let G be a connected graph with E as edge set and V as vertex set . rm(v|W) =
{d(v, s1), d(v, s2), . . . , d(v, sk)} is the multiset representation of a vertex v of G with respect to
W where d(v, si) is a distance between ...
Elegant Labeling Of Some Graphs
(Journal of Physics: Conference Series, 2020-12-01)
In this paper, we introduce a new notion of graph theory study, namely a local
edge metric dimension. It is a natural extension of metric dimension concept. dG(e, v) =
min{d(x, v), d(y, v)} is the distance between the ...
The Local (Adjacency) Metric Dimension of Split Related Complete Graph
(IOP Conf. Series: Journal of Physics: Conf. Series, 2019-04-01)
Let G be a simple graph. A set of vertices, called V (G) and a set of edges, called
E(G) are two sets which form graph G. W is a local adjacency resolving set of G if for every
two distinct vertices x, y and x adjacent ...
Elegant Labeling of Some Graphs
(Journal of Physics: Conference Series, 2020-06-19)
An elegant labeling on graph G with vertices and edges is an injective
(one-to-one) mapping from the set of vertices V (G) to the set of non-negative integers
f0; 1; 2; 3; :::; g in such a way that the set of values ...