Results 41 to 50 of about 2,320,114 (270)
On the Edge Metric Dimension of Different Families of Möbius Networks [PDF]
Mathematical Problems in Engineering, 2021 For an ordered subset Q e of vertices in a simple connected graph
Bo Deng +2 more
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Patched Network and Its Vertex-Edge Metric-Based Dimension
IEEE Access, 2023 The p-type networks are designed with the help of CVNET at topo group Cluj and also given support by nano studio. Such networks develop new p-type surfaces and also represent the decorations of the surfaces.
Sidra Bukhari +3 more
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On the edge metric dimension of graphs
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meiqin Wei, Jun Yue, Xiaoyu zhu
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Edge Metric Dimension and Edge Basis of One-Heptagonal Carbon Nanocone Networks
IEEE Access, 2022 A molecular (chemical) graph is a simple connected graph, where the vertices represent the compound’s atoms and the edges represent bonds between the atoms, and the degree (valence) of every vertex (atom) is not more than four.
Karnika Sharma +2 more
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Bounds on metric dimensions of graphs with edge disjoint cycles [PDF]
Applied Mathematics and Computation, 2021 In a graph G, cardinality of the smallest ordered set of vertices that distinguishes every element of V (G) is the (vertex) metric dimension of G. Similarly, the cardinality of such a set is the edge metric dimension of G, if it distinguishes E(G). In this paper these invariants are considered first for unicyclic graphs, and it is shown that the vertex
Jelena Sedlar, Riste Skrekovski
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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.
Jelena Sedlar, Riste Skrekovski
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PROPERTIES OF CERTAIN CONNECTED GRAPHS RELATED TO THEIR EDGE METRIC DIMENSION [PDF]
, 2022 Metric dimension, resolving sets and edge metric dimension are very important invariants for the resolvability of graphs that have been studied and investigated intensively in the literature over the last decades.
Bisharat, Sanabel Mahmoud Y.
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Edge metric dimension of $k$ multiwheel graph
Rocky Mountain Journal of Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bataineh, Mohammad S. +2 more
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Computing the Mixed Metric Dimension of a Generalized Petersen Graph P(n, 2)
Frontiers in Physics, 2020 Let Γ = (V, E) be a connected graph. A vertex i ∈ V recognizes two elements (vertices or edges) j, k ∈ E ∩ V, if dΓ(i, j) ≠ dΓ(i, k). A set S of vertices in a connected graph Γ is a mixed metric generator for Γ if every two distinct elements (vertices or
Hassan Raza, Ying Ji
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On Resolvability Parameters of Some Wheel-Related Graphs
Journal of Chemistry, 2019 Let G=V,E be a simple connected graph, w∈V be a vertex, and e=uv∈E be an edge. The distance between the vertex w and edge e is given by de,w=mindw,u,dw,v, A vertex w distinguishes two edges e1, e2∈E if dw,e1≠dw,e2.
Bin Yang +3 more
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