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Adjacency Matrix of a Semigraph

open access: yesElectronic Notes in Discrete Mathematics, 2017
Abstract Semigraph was defined by Sampathkumar as a generalization of a graph. In this paper the adjacency matrix which represents semigraph uniquely and a characterization of such a matrix is obtained. An algorithm to construct the semigraph from a given square matrix, if semigraphical is given.
Y. S. Gaidhani   +2 more
exaly   +2 more sources
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On the eigenvalue and energy of extended adjacency matrix

Applied Mathematics and Computation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Modjtaba Ghorbani   +2 more
exaly   +2 more sources

Membership Problem with Adjacency Matrix

Computación y Sistemas, 2021
In this article, proposed a algorithm to solve the membership problem in Hyperedge Replacement Grammars (HRG). Given a hypergraph H with labeled nodes rooted and directed hyperedges, the problem consists in determining if H 2 L(G), where G is in HRG, this is to say, if H is in the language generated by G, for this the analysis is done directly in the ...
Yolanda Moyao Martínez   +3 more
openaire   +1 more source

A Compact Form of the Adjacency Matrix

Journal of Chemical Information and Computer Sciences, 2000
It has been shown that the adjacency matrix can be transformed into a row vector and then into a single number. This number can again be decoded to recover the row vector, and this in turn can be decoded to restore the original adjacency matrix. A special, rather efficient coding scheme was devised for acyclic structures.
openaire   +2 more sources

An algorithm for planarity testing by adjacency matrix

2012 International Conference on Machine Learning and Cybernetics, 2012
It is of great use to determine whether a graph is planar in both information technology and engineering areas. Although there are some known algorithms, they are quite difficult to understand and to implement. This paper proposes a new method to determine the planarity of a graph by adjacency matrix, which is very easy to implement.
Shi-Qun Li, Qian-Li Ma
openaire   +1 more source

Extended Adjacency Matrix Indices and Their Applications

Journal of Chemical Information and Computer Sciences, 1994
In this paper, new topological indices, EA Sigma and EAmax, are introduced. They are based on the extended adjacency matrices of molecules, in which the influences of factors of heteroatoms and multiple bonds were considered.
Yiqiu Yang, Lu Xu, Chang-Yu Hu
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A visual canonical adjacency matrix for graphs

2009 IEEE Pacific Visualization Symposium, 2009
Graph data mining algorithms rely on graph canonical forms to compare different graph structures. These canonical form definitions depend on node and edge labels. In this paper, we introduce a unique canonical visual matrix representation that only depends on a graph's topological information, so that two structurally identical graphs will have exactly
Hongli Li   +2 more
openaire   +1 more source

Data Clustering by Scaled Adjacency Matrix

2011
Similarity based clustering, which is to find the extrinsic clusters in data by taking as input a collection of real-valued similarities between data points, has been playing an important role in data analysis and engineering. Lots of work had been done in this field.
Jian Yu 0001, Caiyan Jia
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On the adjacency matrix and the colouring of graphs

2001
Summary: A planar graph, \(G\), can be drawn on a plane in such a way that no two edges intersect. It is said to be maximal planar if no edge can be added without losing planarity. Each vertex of an Eulerian graph is of even degree. We show that the chromatic number of a maximal planar graph is 3 if and only if it is Eulerian. From the adjacency matrix
MARINO, Maria Corinna, SCIRIHA I.
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On two problems related to anti-adjacency (eccentricity) matrix

Discrete Applied Mathematics, 2023
Håkan Kucuk
exaly  

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