Results 51 to 60 of about 557,722 (277)
Computing Edge Version of Resolvability and Double Resolvability of a Graph
Journal of Chemistry, 2022 The field of graph theory is extensively used to investigate structure models in biology, computer programming, chemistry, and combinatorial optimization. In order to work with the chemical structure, chemists require a mathematical form of the compound.
Muhammad Ahmad +3 more
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JTAM (Jurnal Teori dan Aplikasi Matematika), 2023 Partition dimension was introduced as a part of interesting topic in graph theory. It was focus to observe about distance. The local partition dimension is an expansion of the partition dimension by adding certain conditions to the representation of the ...
Ilham Saifudin +2 more
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Journal of High Energy Physics, 2021 Acting on operators with a bare dimension ∆ ∼ N 2 the dilatation operator of U(N) N $$ \mathcal{N} $$ = 4 super Yang-Mills theory defines a 2-local Hamiltonian acting on a graph.
Robert de Mello Koch +2 more
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Spectral Dimension Reduction of Complex Dynamical Networks [PDF]
Physical Review X, 2018 Dynamical networks are powerful tools for modeling a broad range of complex systems, including financial markets, brains, and ecosystems. They encode how the basic elements (nodes) of these systems interact altogether (via links) and evolve (nodes ...
Edward Laurence +3 more
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A Central Local Metric Dimension of Generalized Fan Graph, Generalized Broken Fan Graph, and Cm ⊙ K¯m [PDF]
E3S Web of ConferencesThe central local metric dimension is a new variation of local metric dimension that introduced in 2023. The central local metric dimension is a new concept that enriches research studies in graph theory, especially in the field of metric dimension. This
Listiana Yuni, Susilowati Liliek, Slamin
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Fractional Metric Dimension of Tree and Unicyclic Graph
International Conference of Graph Theory and Information Security, 2015 A vertex v in a simple connected graph G resolves two vertices x and y in G if the distance from x to v is not equal to distance from y to v. The vertex set R{x, y} is defined as the set of vertices in G which resolve x and y. A function f : V(G) → [0,1]
Dani Krismanto, S. Saputro
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Dimension and cut vertices: an application of Ramsey theory [PDF]
arXiv.org, 2015 Motivated by quite recent research involving the relationship between the dimension of a poset and graph-theoretic properties of its cover graph, we show that for every $d\geq 1$, if $P$ is a poset and the dimension of a subposet $B$ of $P$ is at most $d$
W. T. Trotter +2 more
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The Application of Fault-Tolerant Partition Resolvability in Cycle-Related Graphs
Applied Sciences, 2022 The concept of metric-related parameters permeates all of graph theory and plays an important role in diverse networks, such as social networks, computer networks, biological networks and neural networks.
Kamran Azhar +4 more
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The difference between the metric dimension and the determining number of a graph
Applied Mathematics and Computation, 2014 We study the maximum value of the difference between the metric dimension and the determining number of a graph as a function of its order. We develop a technique that uses functions related to locating-dominating sets to obtain lower and upper bounds on
D. Garijo +2 more
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THE METRIC DIMENSION OF CYCLE BOOK GRAPHS B_(C_(m,n) ) FORMED BY A COMMON PATH P_2
BarekengThis paper investigates the metric dimension of a class of graphs known as cycle books, denoted , which feature a shared path across multiple cycles.
Jaya Santoso +3 more
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