Results 11 to 20 of about 67,461 (315)
AIP Conference Proceedings, 2019 A graph labeling is an assignment of integers to the vertices, edges, or to both, and it is subject to certain conditions. In this paper, a new concept of graph labeling called binary operation labeling is introduced. Let G=(V, E) be a (n, m)-graph and let f: V(G) → 1, 2, …, n be a bijection.
Al-Harere, Manal Naji +1 more
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Vertex-Based Topological Indices of Double and Strong Double Graph of Dutch Windmill Graph
Journal of Chemistry, 2021 A measurement of the molecular topology of graphs is known as a topological index, and several physical and chemical properties such as heat formation, boiling point, vaporization, enthalpy, and entropy are used to characterize them.
Muhammad Asad Ali +3 more
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Designing classes’ interfaces for neural network graph model
Труды Института системного программирования РАН, 2019 An approach to testing artificial neural networks is described. The model of neural network is based on graph theory, and operations that are used in theoretical works devoted to graphs, trees, paths, cycles, and circuits.
Yuri Leonidovich Karpov +4 more
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Structures devised by the generalizations of two graph operations and their topological descriptors
Main Group Metal Chemistry, 2022 Graph theory served in different fields of sciences, especially in chemistry in which creating complex structures and studying their enormous properties. Graph operation is a tool to construct complex chemical structures using basic graphs.
Raza Hassan +3 more
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OPERATIONS ON SPECTRAL FUZZY GRAPHS
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2022 The operations in spectral fuzzy graphs such as Cartesian product, strong product, bipartite double, Kronecker product and Lexicographic product (composition) are analysed to elucidate the impact of eigenvalue spectra. Also, the properties are derived which delves the effect on spectral fuzzy graphs.
Buvaneswari, R., Priya, K. Senbaga
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Quadripartitioned Neutrosophic Graph Structures [PDF]
Neutrosophic Sets and Systems, 2022 The quadripartitioned neutrosophic set is the partition of indeterminacy function of the neutrosophic set into contradiction part and ignorance part.
S. Satham Hussain +5 more
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f-Polynomial on Some Graph Operations
Mathematics, 2019 Given any function f : Z + → R + , let us define the f-index I f ( G ) = ∑ u ∈ V ( G ) f ( d u ) and the f-polynomial P f ( G , x ) = ∑ u ∈ V ( G ) x 1 / f ( d u ) − 1 ,
Walter Carballosa +3 more
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Operator Machines on Directed Graphs [PDF]
Integral Equations and Operator Theory, 2010 We show that if an infinite-dimensional Banach space X has a symmetric basis then there exists a bounded, linear operator R : X --> X such that the set A = {x in X : ||R^n(x)|| --> infinity} is non-empty and nowhere dense in X. Moreover, if x in X\A then some subsequence of (R^n(x)) converges weakly to x.
Hájek, P. (Petr Pavel), Smith, R.J.
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几个图运算下的图的惯性指数的界(Bounding the inertia of graphs under some graph operations)
Zhejiang Daxue xuebao. Lixue ban, 2016 The inertia of a graph G is defined to be the triple In(G) = {i+ (G), i- (G)，i0 (G)}，where i+ (G)，i-(G),i0 (G) are the numbers of positive,negative and zero eigenvalues of the adjacency matrix A(G) including multiplicities, respectively.
QUHui(曲慧), LIUWeijun(刘伟俊)
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On Powers of Some Graph Operations [PDF]
Mathematics Interdisciplinary Research, 2018 Let G*H be the product * of G and H. In this paper we determine the rth power of the graph G*H in terms of Gr, Hrand Gr*Hr, when * is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation
Mohamed Seoud, Hamdy Mohamed Hafez
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