Results 21 to 30 of about 501,962 (291)

Comparative Study of Prism Octahedron Network via Eccentric Invariants

open access: yesJournal 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   +5 more
doaj   +1 more source

Dimensi Metrik Kuat Lokal Graf Hasil Operasi Kali Kartesian

open access: yesContemporary Mathematics and Applications (ConMathA), 2020
The strong local metric dimension is the development result of a strong metric dimension study, one of the study topics in graph theory. Some of graphs that have been discovered about strong local metric dimension are path graph, star graph, complete ...
Nurma Ariska Sutardji   +2 more
doaj   +1 more source

On the Dominant Local Resolving Set of Vertex Amalgamation Graphs

open access: yesCauchy: 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   +3 more
doaj   +1 more source

On the Edge Metric Dimension of Certain Polyphenyl Chains

open access: yesJournal 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   +5 more
doaj   +1 more source

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

open access: yesInternational 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   +6 more sources

Topological Graph Polynomials in Colored Group Field Theory [PDF]

open access: yes, 2009
In this paper we analyze the open Feynman graphs of the Colored Group Field Theory introduced in [arXiv:0907.2582]. We define the boundary graph $\cG_{\partial}$ of an open graph $\cG$ and prove it is a cellular complex.
A. Connes   +37 more
core   +1 more source

The partition dimension of a subdivision of a homogeneous firecracker

open access: yesElectronic 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   +1 more source

A Comparative Study of Three Resolving Parameters of Graphs

open access: yesComplexity, 2021
Graph theory is one of those subjects that is a vital part of the digital world. It is used to monitor the movement of robots on a network, to debug computer networks, to develop algorithms, and to analyze the structural properties of chemical structures,
Hafiz Muhammad Ikhlaq   +2 more
doaj   +1 more source

Graph weights arising from Mayer and Ree-Hoover theories of virial expansions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
We study graph weights (i.e., graph invariants) which arise naturally in Mayer's theory and Ree-Hoover's theory of virial expansions in the context of a non-ideal gas.
Amel Kaouche, Pierre Leroux
doaj   +1 more source

Simplicial and Cellular Trees [PDF]

open access: yes, 2015
Much information about a graph can be obtained by studying its spanning trees. On the other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question of developing a theory of trees in higher dimension.
Duval, Art M.   +2 more
core   +2 more sources

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