Results 41 to 50 of about 6,789,089 (246)
Relating graph energy with vertex-degree-based energies [PDF]
Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants.
Ivan Gutman
doaj +1 more source
A Comprehensive Discussion on Fuzzy Hypersoft Expert, Superhypersoft, and IndetermSoft Graphs [PDF]
Graph theory, a branch of mathematics, studies relationships among entities through vertices and edges. To capture the inherent uncertainties in real-world networks, Uncertain Graph Theory has evolved within this field.
Takaaki Fujita
doaj +1 more source
Over the past two decades, resting-state functional connectivity (RSFC) methods have provided new insights into the network organization of the human brain.
M. Hallquist, F. Hillary
semanticscholar +1 more source
If \(k\) is a field and \(G\) is a graph on a vertex set \(\{v_ 1, \dots, v_ n\}\), then the edge ideal \(I = I(G) \subset R = k[x_ 1, \dots, x_ n]\) is generated by all \(x_ ix_ j\) such that \(v_ iv_ j\) is an edge of \(G\). We shall assume there are no edges of type \(v_ iv_ i\), so \(I\) is square-free and \(R/I\) is a special case of a face ring ...
Rafael H. Villarreal+2 more
openaire +3 more sources
Distance antimagic labeling of circulant graphs
A distance antimagic labeling of graph $ G = (V, E) $ of order $ n $ is a bijection $ f:V(G)\rightarrow \{1, 2, \ldots, n\} $ with the property that any two distinct vertices $ x $ and $ y $ satisfy $ \omega(x)\ne\omega(y) $, where $ \omega(x) $ denotes ...
Syafrizal Sy +4 more
doaj +1 more source
Comparative Study of Planar Octahedron Molecular Structure via Eccentric Invariants
A branch of graph theory that makes use of a molecular graph is called chemical graph theory. Chemical graph theory is used to depict a chemical molecule. A graph is connected if there is an edge between every pair of vertices.
Zheng-Qing Chu+5 more
doaj +1 more source
The Role of Graph Theory in System of Systems Engineering
The world of system of systems engineering (SoSE), and consequently systems engineering, is currently being reformalized so as to provide greater functionality, integration, and extensibility into designed systems of systems (SoS).
Willie K. Harrison
doaj +1 more source
On the Edge-Connectivity of an Uncertain Random Graph
Connectivity is one of the most important concepts in graph theory. When graph theory is applied to complex systems with indeterminate factors, uncertainty and randomness are two basic types of indeterminacy.
Hao Li, Hui Zhang
doaj +1 more source
Intersection theory for graphs
An intersection theory developed by the author for matroids embedded in uniform geometries is applied to the case when the ambient geometry is the lattice of partitions of a finite set so that the matroid is a graph. General embedding theorems when applied to graphs give new interpretations to such invariants as the dichromate of Tutte. A polynomial in
openaire +3 more sources
In this paper we analyze solutions of the problems of the graph theory with computer mathematics systems MAPLE and MATHEMATICA with purpose to reveal the opportunity of the syntax of the main commands, theirs similarities and differences.
Sigita Turskienė+1 more
doaj +1 more source