Results 31 to 40 of about 30,707 (261)
Theoretical study of energy, inertia and nullity of phenylene and anthracene
Open Chemistry, 2021 Energy of a molecule plays an important role in physics, chemistry and biology. In mathematics, the concept of energy is used in graph theory to help other subjects such as chemistry and physics.
Ahmad Zaheer +4 more
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Social Network of Faculties According to Student Preferences in Transition to Higher Education
Lithuanian Journal of Statistics, 2012 In social network analysis, the studies on weighted adjacency matrix of nodes are increasing day by day. In thispaper, a method is proposed by including node properties to neighbourhood matrix, in order to see the structures of weightedadjacency matrix ...
Güneş Mutlu, Ahmet Mete Çilingirtürk
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On Some Properties of Characteristics Polynomials of the Complete Graphs Kn [PDF]
Engineering and Technology Journal, 2013 This paper discusses the properties of the characteristic polynomial of the complete graphs Kn, n=1, 2… respective to the adjacency matrices. Two different types of matrices, the adjacency matrix and the signless Laplacian matrix, are presented.
Nuha A. Rajab +2 more
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On the Inverse of Forward Adjacency Matrix
CoRR, 2017 During routine state space circuit analysis of an arbitrarily connected set of nodes representing a lossless LC network, a matrix was formed that was observed to implicitly capture connectivity of the nodes in a graph similar to the conventional incidence matrix, but in a slightly different manner. This matrix has only 0, 1 or -1 as its elements.
Pritam Mukherjee, L. Satish
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Computing the Energy and Estrada Index of Different Molecular Structures
Journal of Chemistry, 2022 Graph energy is an invariant that is derived from the spectrum of the adjacency matrix of a graph. Graph energy is actually the absolute sum of all the eigenvalues of the adjacency matrix of a graph i.e.
Zeeshan Saleem Mufti +5 more
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The General Extended Adjacency Eigenvalues of Chain Graphs
MathematicsIn this article, we discuss the spectral properties of the general extended adjacency matrix for chain graphs. In particular, we discuss the eigenvalues of the general extended adjacency matrix of the chain graphs and obtain its general extended ...
Bilal Ahmad Rather +3 more
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aMatReader: Importing adjacency matrices via Cytoscape Automation [version 1; referees: 2 approved]
F1000Research, 2018 Adjacency matrices are useful for storing pairwise interaction data, such as correlations between gene pairs in a pathway or similarities between genes and conditions. The aMatReader app enables users to import one or multiple adjacency matrix files into
Brett Settle +3 more
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Incidence matrices and line graphs of mixed graphs
Special Matrices, 2023 In the theory of line graphs of undirected graphs, there exists an important theorem linking the incidence matrix of the root graph to the adjacency matrix of its line graph. For directed or mixed graphs, however, there exists no analogous result.
Abudayah Mohammad +2 more
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aMatReader: Importing adjacency matrices via Cytoscape Automation [version 2; referees: 2 approved]
F1000Research, 2018 Adjacency matrices are useful for storing pairwise interaction data, such as correlations between gene pairs in a pathway or similarities between genes and conditions. The aMatReader app enables users to import one or multiple adjacency matrix files into
Brett Settle +3 more
doaj +1 more source
Hermitian Adjacency Matrix of Digraphs and Mixed Graphs [PDF]
Journal of Graph Theory, 2016 AbstractThe article gives a thorough introduction to spectra of digraphs via its Hermitian adjacency matrix. This matrix is indexed by the vertices of the digraph, and the entry corresponding to an arc from x to y is equal to the complex unity i (and its symmetric entry is ) if the reverse arc is not present.
Krystal Guo, Bojan Mohar
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