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Mixed Metric Dimension of Graphs [PDF]

Applied Mathematics and Computation, 2017
arXiv admin note: text overlap with arXiv:1602 ...
Dorota Kuziak, Ismael Gonzalez Yero, Andrej Taranenko   +2 more
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Mixed Metric Dimension of Graphs With Edge Disjoint Cycles [PDF]

Discrete Applied Mathematics, 2021
In a graph G, the cardinality of the smallest ordered set of vertices that distinguishes every element of V (G)[E(G) is called the mixed metric dimension of G. In this paper we first establish the exact value of the mixed metric dimension of a unicycic graph G which is derived from the structure of G.
Riste Škrekovski, Jelena Sedlar
exaly   +6 more sources

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Mixed Metric Dimension of Some Graphs

Applied Mathematics and Computation, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kexiang Xu, Nie Kairui
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On Mixed Metric Dimension of Crystal Cubic Carbon Structure

Journal of Mathematical Chemistry, 2023
Abstract Chemical graph theory is a branch of mathematical chemistry which applies classic graph theory to chemical phenomena and entities. Graphs are extensively used in chemistry to recognise the structures of chemical compounds, with the vertices and edges denoting atoms and bonds respectively.
Vijay Kumar Bhat, Malkesh Singh
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Edge metric dimension and mixed metric dimension of a plane graph Tn

Discrete Mathematics, Algorithms and Applications, 2023
Let [Formula: see text] be a connected graph where [Formula: see text] is the set of vertices of [Formula: see text] and [Formula: see text] is the set of edges of [Formula: see text]. The distance from the vertex [Formula: see text] to the edge [Formula: see text] is given by [Formula: see text].
Huige Shen, Jing Qu, Na Kang, Cong Lin
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Mixed metric dimension of some plane graphs

Discrete Mathematics, Algorithms and Applications, 2022
Let [Formula: see text] be a finite undirected simple connected graph with vertex set [Formula: see text] and edge set [Formula: see text]. A vertex [Formula: see text] resolves two elements (vertices or edges) [Formula: see text] if [Formula: see text]. A subset [Formula: see text] of vertices in [Formula: see text] is called a mixed metric generator
Na Kang, Zhiquan Li, Lihang Hou, Jing Qu
openaire   +3 more sources

On Mixed Metric Dimension of Polycyclic Aromatic Hydrocarbon Networks

Chemical Papers, 2022
Vijay Kumar Bhat, Hassan Raza, Sahil Sharma   +2 more
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Dominant Mixed Metric Dimension of Graph

Statistics, Optimization and Information Computing
For $k-$ordered set $W=\{s_1, s_2,\dots, s_k \}$ of vertex set $G$, the representation of a vertex or edge $a$ of $G$ with respect to $W$ is $r(a|W)=(d(a,s_1), d(a,s_2),\dots, d(a,s_k))$ where $a$ is vertex so that $d(a,s_i)$ is a distance between of the vertex $v$ and the vertices in $W$ and $a=uv$ is edge so that $d(a,s_i)=min\{d(u,s_i),d(v,s_i ...
Arika Indah Kristiana
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Further Results on the Mixed Metric Dimension of Graphs

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongbo Hua, Yaojun Chen
exaly   +4 more sources