Results 11 to 20 of about 29,241 (278)

Neutrosophic Graphs: A New Dimension To Graph Theory

, 2015
In this book authors for the first time have made a through study of neutrosophic graphs. This study reveals that these neutrosophic graphs give a new dimension to graph theory. The important feature of this book is it contains over 200 neutrosophic graphs to provide better understanding of this concepts.
W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache   +2 more
openaire   +4 more sources

The partition dimension of a subdivision of a homogeneous firecracker

Electronic Journal of Graph Theory and Applications, 2020
Finding the partition dimension of a graph is one of the interesting (and uncompletely solved) problems of graph theory. For instance, the values of the partition dimensions for most kind of trees are still unknown.  Although for several classes of trees
Amrullah Amrullah
doaj   +2 more sources

A Central Local Metric Dimension of Generalized Fan Graph, Generalized Broken Fan Graph, and Cm ⊙ K¯m [PDF]

E3S Web of Conferences
The 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
doaj   +2 more sources

Extremal graph theory for metric dimension and diameter [PDF]

, 2010
A set of vertices S resolves a connected graph 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 of G. Let G ,D be the set of graphs with metric dimension and diameter D.
Hernando Martín, María del Carmen, Mora Giné, Mercè, Seara Ojea, Carlos, Wood, David   +3 more
core   +3 more sources

Limit theory of sparse random geometric graphs in high dimensions

Stochastic Processes and their Applications, 2023
We study topological and geometric functionals of $l_\infty$-random geometric graphs on the high-dimensional torus in a sparse regime, where the expected number of neighbors decays exponentially in the dimension. More precisely, we establish moment asymptotics, functional central limit theorems and Poisson approximation theorems for certain functionals
Gilles Bonnet, Christian Hirsch, Daniel Rosen, Daniel Willhalm   +3 more
openaire   +2 more sources

Comparative Study of Prism Octahedron Network via Eccentric Invariants

Journal of Chemistry, 2023
Topological indices are empirical features of graphs that characterize the topology of the graph and, for the most part, are graph independent. An important branch of graph theory is chemical graph theory.
Haidar Ali, Didar Abdulkhaleq Ali, Muhammad Nadeem, Parvez Ali, Syed Ajaz K. Kirmani, Mohamed Sesay   +5 more
doaj   +1 more source

On the Dominant Local Resolving Set of Vertex Amalgamation Graphs

Cauchy: 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, Liliek Susilowati, S Slamin, Savari Prabhu   +3 more
doaj   +1 more source

On the Edge Metric Dimension of Certain Polyphenyl Chains

Journal of Chemistry, 2021
The most productive application of graph theory in chemistry is the representation of molecules by the graphs, where vertices and edges of graphs are the atoms and valence bonds between a pair of atoms, respectively.
Muhammad Ahsan, Zohaib Zahid, Dalal Alrowaili, Aiyared Iampan, Imran Siddique, Sohail Zafar   +5 more
doaj   +1 more source

Dimension Theory of Some Non-Markovian Repellers Part II: Dynamically Defined Function Graphs [PDF]

, 2021
This is the second part in a series of two papers. Here, we give an overview on the dimension theory of some dynamically defined function graphs, like Takagi and Weierstrass function, and we study the dimension of Markovian fractal interpolation functions and generalised Takagi functions generated by non-Markovian dynamics.
Bárány, Balázs, Rams, Michał\, Simon, Károly   +2 more
openaire   +2 more sources

THE GRAPH-REPRESENTATION APPROACH TO TOPOLOGICAL FIELD THEORY IN 2 + 1 DIMENSIONS [PDF]

International Journal of Modern Physics A, 1992
An alternative definition of topological quantum field theory in 2 + 1 dimensions is discussed. The fundamental objects in this approach are not gauge fields as in the usual approach, but nonlocal observables associated with graphs. The classical theory of graphs is defined by postulating a simple diagrammatic rule for computing the Poisson bracket of
openaire   +5 more sources