On the edge metric dimension of graphs
Web1 de jun. de 2024 · As a natural counterpart, Kelenc et al. [9] introduced the concept of edge metric dimension and proved that the decision problem of computing the edge metric … Web4 de out. de 2024 · The edge metric dimension problem was recently introduced, which initiated the study of its mathematical properties. The theoretical properties of the edge …
On the edge metric dimension of graphs
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Web23 de fev. de 2024 · Modeling and generating graphs is fundamental for studying networks in biology, engineering, and social sciences. However, modeling complex distributions over graphs and then efficiently sampling from these distributions is challenging due to the non-unique, high-dimensional nature of graphs and the complex, non-local dependencies … Web28 de jan. de 2024 · [4] V. Filipović, A. Kartelj and J. Kratica, Edge metric dimension of some generalized Petersen graphs, Results Math. 74 (2024) Article 182. 10.1007/s00025-019-1105-9 Search in Google Scholar [5] F. Harary and R.A. Melter, On the metric dimension of a graph, Ars Combin. 2 (1976) 191–195. Search in Google Scholar
Web1 de fev. de 2024 · The edge metric dimension of G, denoted by dimE ( G ), is the minimum cardinality of edge metric generator for G. As a main result, we provide some results of edge metric dimension on some families of tree graph, namely star graph, broom graph, double broom graph, and banana tree graph. Content from this work may … Webwww.ejgta.org Electronic Journal of Graph Theory and Applications 11 (1) (2024), 197–208 The dominant edge metric dimension of graphs Mostafa Tavakolia, Meysam Korivand b, Ahmad Erfanian ...
Web10 de abr. de 2024 · Signal Variation Metrics and Graph Fourier Transforms for Directed Graphs. Laura Shimabukuro, Antonio Ortega. Published 10 April 2024. Mathematics, … WebThe size of a dominant edge metric basis of G is denoted by D d i m e ( G ) and is called the dominant edge metric dimension. In this paper, the concept of dominant edge …
Web11 de nov. de 2024 · We also computed the fault-tolerant edge metric dimension of path, cycle, complete graph, cycle with chord graph, tadpole graph and kayak paddle graph. Home {{subColumn.name}} AIMS Mathematics. Search ... Uniquely identifying the edges of a graph: The edge metric dimension, Discrete Appl. Math., 251 (2024), 204-220. doi: …
Web31 de mar. de 2024 · An edge metric basis of G is an edge metric generator of G of cardinality dim e ( G). It is trivial to see that for any connected graph G of order n the following holds: 1 ≤ dim e ( G) ≤ n − 1. Graphs for which dim e ( G) = n − 1 are called topful. An edge metric generator S is not necessarily a metric generator. fencing company west palm beachWeb20 de out. de 2024 · 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 … degreed crunchbaseWeb1 de mar. de 2024 · In this paper, we examined complement metric dimension of particular tree graphs such as caterpillar graph (C mn ), firecrackers graph (Fmn), and banana … fencing company yeovil somersetWeb1 de mai. de 2024 · The edge metric dimension of a graph is introduced based on the distance of edges of the graph. As a main result we computed edge metric dimension … fencing components chipping norton promo codeWeb1 de jul. de 2024 · Given a connected graph G ( V , E ), the edge dimension, denoted edim ( G ), is the least size of a set S ⊆ V that distinguishes every pair of edges of G, in the sense that the edges have pairwise different tuples of distances to the vertices of S. The notation was introduced by Kelenc, Tratnik, and Yero, and in their paper they posed several ... degreed conference 2022WebThe size of a dominant edge metric basis of G is denoted by D d i m e ( G ) and is called the dominant edge metric dimension. In this paper, the concept of dominant edge metric dimension (DEMD for short) is introduced and its basic properties are studied. Moreover, NP-hardness of computing DEMD of connected graphs is proved. degreed + crunchbaseWeb24 de set. de 2024 · Edge metric dimension of some graph operations. Let be a connected graph. Given a vertex and an edge , the distance between and is defined as . A nonempty set is an edge metric generator for if for any two edges there is a vertex such that . The minimum cardinality of any edge metric generator for a graph is the edge … degreed credly