Results 301 to 308 of about 113,956 (308)

Complex adjacency matrix and energy of digraphs

Linear and Multilinear Algebra, 2016
The eigenvalues of a digraph are the eigenvalues of its adjacency matrix. If D is a digraph of order n with eigenvalues , then its energy is defined by . We give a new notion of energy of digraphs defined by and call it the iota energy of the digraph D. It is shown that the Coulson’s integral formula remains valid for iota energy.
Mehtab Khan, Rashid Farooq, Juan Rada
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ADJACENCY MATRIX OF SIGNED SEMIGRAPHS

Advances and Applications in Discrete Mathematics, 2021
Surajit Kr. Nath, Ardhendu Kumar Nandi
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A New Adjacency Matrix for Finite Graphs

Advances in Applied Clifford Algebras, 2008
This paper expands on the graph-theoretic content of my contributed talk at the Seventh International Conference on Clifford Algebras and Their Applications. A well-known result in graph theory states that when A is the adjacency matrix of a finite graph G, the entries of Ak represent numbers of k-step walks existing in G. However, the adjacency matrix
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The bone matrix adjacent to lacunae and canaliculi

The Anatomical Record, 1962
AbstractThree techniques, phase contrast microscopy, microradiography, and electron microscopy, have been used to study the variation in mineralization and presence of collagen fibers in the bone matrix adjacent to lacunae and canaliculi. Undecalcified, partially decalcified and fully decalcified sections of normal bone from old individuals have been ...
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Determinant of adjacency matrix and kekulé structures

International Journal of Quantum Chemistry, 2009
This article is composed of three parts: (1) a simple verification of the graphical-deleting method is presented. (2) The relation between the determinant of the adjacency matrix and the Kekule structures proposed by Dewar and Longuet-Higgins is generalized to the system of nonalternant hydrocarbon.
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The Determinant of the Adjacency Matrix of a Graph

SIAM Review, 1962
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NOTE ON AN ADJACENCY MATRIX OF A GRAPH G

Advances in Mathematics: Scientific Journal, 2020
R. M. Patne, G. R. Avachar
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Eigenvalues of the adjacency matrix

2010
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