Results 41 to 50 of about 61,286 (267)
On Sharp Bounds of Local Fractional Metric Dimension for Certain Symmetrical Algebraic Structure Graphs [PDF]
Symmetry, 2023 The smallest set of vertices needed to differentiate or categorize every other vertex in a graph is referred to as the graph’s metric dimension. Finding the class of graphs for a particular given metric dimension is an NP-hard problem. This concept has applications in many different domains, including graph theory, network architecture, and facility ...
Amal S. Alali +3 more
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The Metric Dimension and Local Metric Dimension of Relative Prime Graph
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2020 This study aims to determine the value of metric dimensions and local metric dimensions of relative prime graphs formed from modulo integer rings, namely . As a vertex set is and if and are relatively prime.
Inna Kuswandari +2 more
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Rendiconti di Matematica e delle Sue Applicazioni, 2021 20 pages, 8 figures and 8 ...
Shahbaz Ali +2 more
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Fractional Strong Metric Dimension of Convex Polytopes and its applications
Hacettepe Journal of Mathematics and StatisticsThe fractional versions of various metric related parameters have recently gained importance due to their applications in the fields of sensor networking, robot navigation and linear optimization problems. Convex polytopes are collection of those polytopes of Euclidean space which are their convex subsets.
Faiza Jamil, Agha Kashif, Sohail Zafar
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The fractional metric dimension of graphs
Discrete Mathematics, 2012 AbstractA vertex x in a connected graph G is said to resolve a pair {u,v} of vertices of G if the distance from u to x is not equal to the distance from v to x. A set S of vertices of G is a resolving set for G if every pair of vertices is resolved by some vertex of S.
Arumugam, S., Mathew, Varughese
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On the local fractional metric dimension of corona product graphs
IOP Conference Series: Earth and Environmental Science, 2019 Siti Aisyah +2 more
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Local fractional metric dimension of rotationally symmetric planar graphs arisen from planar chorded cycles [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2023 In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar chorded cycles. Their local fractional metric dimension is established for those ones arisen from chorded cycles of order up to six ...
Shahbaz Ali +2 more
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Relativistic Fractional-Dimension Gravity
Universe, 2021 This paper presents a relativistic version of Newtonian Fractional-Dimension Gravity (NFDG), an alternative gravitational model recently introduced and based on the theory of fractional-dimension spaces.
Gabriele U. Varieschi
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A Gravity Dual of the Chiral Anomaly [PDF]
, 2002 We study effects associated with the chiral anomaly for a cascading $SU(N+M)\times SU(N)$ gauge theory using gauge/gravity duality. In the gravity dual the anomaly is a classical feature of the supergravity solution, and the breaking of the U(1) R ...
A. Ceresole +23 more
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On the fractional metric dimension of corona product graphs and lexicographic product graphs
, 2012 A vertex $x$ in a graph $G$ resolves two vertices $u$, $v$ of $G$ if the distance between $u$ and $x$ is not equal to the distance between $v$ and $x$. A function $g$ from the vertex set of $G$ to $[0,1]$ is a resolving function of $G$ if $g(R_G\{u,v\})\geq 1$ for any two distinct vertices $u$ and $v$, where $R_G\{u,v\}$ is the set of vertices ...
Min Feng, Kaishun Wang
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