Results 21 to 30 of about 660 (219)
Fault-tolerant metric dimension of zero-divisor graphs of commutative rings
AKCE International Journal of Graphs and Combinatorics, 2021 Let R be a commutative ring with identity. The zero-divisor graph of R denoted by is an undirected graph where is the set of non-zero zero-divisors of R and there is an edge between the vertices z1 and z2 in if A set of vertices S resolves a graph G if ...
Sahil Sharma, Vijay Kumar Bhat
doaj +1 more source
Studies of Multilevel Networks via Fault-Tolerant Metric Dimensions
IEEE Access, 2022 A subset $T$ of the vertex set of a network $G$ is called a resolving set for $G$ if each pair of vertices of $G$ have distinct representations with respect to $T$ . A resolving set $B^{\prime} $ among all the resolving sets of a network $G$
Imtiaz Ali +2 more
doaj +1 more source
Fault-Tolerant Metric Dimension of Interconnection Networks
IEEE Access, 2020 A fixed interconnection parallel architecture is characterized by a graph, with vertices corresponding to processing nodes and edges representing communication links.
Sakander Hayat +4 more
doaj +1 more source
Resolving sets tolerant to failures in three-dimensional grids [PDF]
, 2021 An ordered set $S$ of vertices of a graph $G$ is a resolving set for $G$ if every vertex is uniquely determined by its vector of distances to the vertices in $S$. The metric dimension of G is the minimum cardinality of a resolving set.
Salorio, María José Souto +6 more
core +2 more sources
Metric and Fault-Tolerant Metric Dimension of Hollow Coronoid
IEEE Access, 2021 Coronoid systems actually arrangements of hexagons into six sides of benzenoids. By nature, it is an organic chemical structure. Hollow coronoids are primitive and catacondensed coronoids. It is also known as polycyclic conjugated hydrocarbons.
Ali N. A. Koam +3 more
doaj +1 more source
Notes on the Localization of Generalized Hexagonal Cellular Networks
Mathematics, 2023 The act of accessing the exact location, or position, of a node in a network is known as the localization of a network. In this methodology, the precise location of each node within a network can be made in the terms of certain chosen nodes in a subset ...
Muhammad Azeem +2 more
doaj +1 more source
Edge Metric and Fault-Tolerant Edge Metric Dimension of Hollow Coronoid
Mathematics, 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
The fault-tolerant metric dimension of the king’s graph [PDF]
, 2017 The concept of resolving the set within a graph is related to the optimal placement problem of access points in an indoor positioning system. A vertex w of the undirected connected graph G resolves the vertices u and v of G if the distance between ...
Voronov, Roman V.
core +1 more source
Universal quantum computation with optical four-component cat qubits [PDF]
, 2021 We propose a teleportation-based scheme to implement a universal set of quantum gates with a four-component cat code, assisted by appropriate entangled resource states and photon number resolving detection.
Su, Daiqin +2 more
core +2 more sources
FAULT-TOLERANT METRIC DIMENSION OF CIRCULANT GRAPHS [PDF]
, 2019 A set $W$ of vertices in a graph $G$ is called a resolving setfor $G$ if for every pair of distinct vertices $u$ and $v$ of $G$ there exists a vertex $w \in W$ such that the distance between $u$ and $w$ is different from the distance between $v$ and $w$.
Seyedi, Narjes, Maimani, Hamid Reza
core +1 more source