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Bounds of Fractional Metric Dimension and Applications with Grid-Related Networks

open access: yesMathematics, 2021
Metric dimension of networks is a distance based parameter that is used to rectify the distance related problems in robotics, navigation and chemical strata. The fractional metric dimension is the latest developed weighted version of metric dimension and
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Dimensi Metrik Kuat Lokal Graf Hasil Operasi Kali Kartesian

open access: yesContemporary Mathematics and Applications (ConMathA), 2020
The strong local metric dimension is the development result of a strong metric dimension study, one of the study topics in graph theory. Some of graphs that have been discovered about strong local metric dimension are path graph, star graph, complete ...
Nurma Ariska Sutardji   +2 more
doaj   +1 more source

Strong metric dimension: A survey [PDF]

open access: yesYugoslav Journal of Operations Research, 2014
The strong metric dimension has been a subject of considerable amount of research in recent years. This survey describes the related development by bringing together theoretical results and computational approaches, and places the recent results
Kratica Jozef   +3 more
doaj   +1 more source

On the metric dimension of Cayley graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2022
In this paper, we investigate the metric dimension, local metric dimension and edge metric dimension for some (generalized) Cayley graphs.
Afsaneh Rezaei   +2 more
doaj   +1 more source

Spread: a measure of the size of metric spaces [PDF]

open access: yes, 2014
Motivated by Leinster-Cobbold measures of biodiversity, the notion of the spread of a finite metric space is introduced. This is related to Leinster's magnitude of a metric space.
Willerton, Simon
core   +1 more source

On Constant Metric Dimension of Some Generalized Convex Polytopes

open access: yesJournal of Mathematics, 2021
Metric dimension is the extraction of the affine dimension (obtained from Euclidean space Ed) to the arbitrary metric space. A family ℱ=Gn of connected graphs with n≥3 is a family of constant metric dimension if dimG=k (some constant) for all graphs in ...
Xuewu Zuo   +5 more
doaj   +1 more source

Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid

open access: yesMathematics, 2021
Geometric arrangements of hexagons into six sides of benzenoids are known as coronoid systems. They are organic chemical structures by definition. Hollow coronoids are divided into two types: primitive and catacondensed coronoids.
Ali N. A. Koam   +3 more
doaj   +1 more source

On Metric Dimension of Functigraphs

open access: yes, 2012
The \emph{metric dimension} of a graph $G$, denoted by $\dim(G)$, is the minimum number of vertices such that each vertex is uniquely determined by its distances to the chosen vertices.
Bailey R. F.   +17 more
core   +1 more source

Metric dimension of metric transform and wreath product

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
Let $(X,d)$ be a metric space. A non-empty subset $A$ of the set $X$ is called resolving set of the metric space $(X,d)$ if for two arbitrary not equal points $u,v$ from $X$ there exists an element $a$ from $A$, such that $d(u,a) \neq d(v,a)$.
B.S. Ponomarchuk
doaj   +1 more source

On the Dominant Local Resolving Set of Vertex Amalgamation Graphs

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2023
Basically, the new topic of the dominant local metric dimension which be symbolized by Ddim_l (H) is a combination of two concepts in graph theory, they were called the local metric dimension and dominating set. There are some terms in this topic that is
Reni Umilasari   +3 more
doaj   +1 more source

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