Results 31 to 40 of about 177,034 (253)

On the local fractional metric dimension of corona product graphs

IOP Conference Series: Earth and Environmental Science, 2019
A vertex in a connected graph is said to resolve a pair of vertices {u, v} in if the distance from to is not equal to the distance from v to x. A set of vertices of is a resolving set for G if every pair of vertices is resolved by some vertices of S. The
Siti Aisyah, Mohammad Imam Utoyo, Liliek Susilowati   +2 more
semanticscholar   +3 more sources

On the fractional strong metric dimension of graphs

Discrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cong X. Kang
semanticscholar   +6 more sources

Computing Sharp Bounds of Metric Based Fractional Dimensions for the Sierpinski Networks

Mathematics, 2022
The concept of metric dimension is widely applied to solve various problems in the different fields of computer science and chemistry, such as computer networking, integer programming, robot navigation, and the formation of chemical structuring.
Arooba Fatima, Ahmed Alamer, Muhammad Javaid   +2 more
doaj   +4 more sources

On fractional metric dimension of comb product graphs

Statistics, Optimization & Information Computing, 2018
A vertex $z$ in a connected graph $G$ \textit{resolves} two vertices $u$ and $v$ in $G$ if $d_G(u,z)\neq d_G(v,z)$. \ A set of vertices $R_G\{u,v\}$ is a set of all resolving vertices of $u$ and $v$ in $G$.
Suhadi Wido Saputro, Andrea Semanicova-Fenovc, Martin Bača, Marcela Lascśaková   +3 more
semanticscholar   +4 more sources

Sharp Bounds of Local Fractional Metric Dimensions of Connected Networks

IEEE Access, 2020
Metric dimension is a distance based parameter which is used to determine the locations of machines (or robots) with respect to minimum consumption of time, shortest distance among the destinations and lesser number of the utilized nodes as places of the
Muhammad Javaid, Mohsin Raza, Poom Kumam, Jia-Bao Liu   +3 more
doaj   +4 more sources

Upper Bound Sequences of Rotationally Symmetric Triangular Prism Constructed as Halin Graph Using Local Fractional Metric Dimension

VFAST Transactions on Mathematics, 2021
In this paper, we consider rotationally symmetric traingular planar network with possible planar symmetries. We find local fractional metric dimension of planar symmetries.
Mamoona Farooq, Asif Abd ur Rehman, Muhammad Khalid Mahmood, Daud Ahmad   +3 more
semanticscholar   +4 more sources

On Local Fractional Topological Indices and Entropies for Hyper-Chordal Ring Networks Using Local Fractional Metric Dimension [PDF]

Symmetry
An algebraic graph is defined in terms of graph theory as a graph with related algebraic structures or characteristics. If the vertex set of a graph G is a group, a ring, or a field, then G is called an algebraic structure graph.
Shahzad Ali, Shahzaib Ashraf, Shahbaz Ali, Abdullah Afzal, Amal S. Alali   +4 more
semanticscholar   +3 more sources

The Fractional Local Metric Dimension of Graphs

Contributions to Discrete Mathematics, 2018
The fractional versions of graph-theoretic invariants multiply the range of applications in scheduling, assignment and operational research problems. For this interesting aspect of fractional graph theory, we introduce the fractional version of local ...
Imran Javaid, Hira Benish, Muhammad Murtaza   +2 more
semanticscholar   +6 more sources

Bounds on Fractional-Based Metric Dimension of Petersen Networks [PDF]

Computer Modeling in Engineering & Sciences, 2022
Dalal Awadh Alrowali, Mohsin Raza, Muhammad Javaid   +2 more
semanticscholar   +3 more sources

Fractional strong metric dimension of convex polytopes and its applications

Hacettepe Journal of Mathematics and Statistics
The 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.
Faiza Jamil, Agha Kashif, Sohail Zafar
semanticscholar   +5 more sources