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General Zagreb adjacency matrix [PDF]
Contributions to Mathematics, 2022 Zhen Lin
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Clustering Based on Eigenvectors of the Adjacency Matrix
International Journal of Applied Mathematics and Computer Science, 2018 The paper presents a novel spectral algorithm EVSA (eigenvector structure analysis), which uses eigenvalues and eigenvectors of the adjacency matrix in order to discover clusters.
Lucińska Małgorzata +1 more
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Unified Spectral Bounds on the Chromatic Number
Discussiones Mathematicae Graph Theory, 2015 One of the best known results in spectral graph theory is the following lower bound on the chromatic number due to Alan Hoffman, where μ1 and μn are respectively the maximum and minimum eigenvalues of the adjacency matrix: χ ≥ 1+μ1/−μn.
Elphick Clive, Wocjan Pawel
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Cospectral Graphs and the Generalized Adjacency Matrix [PDF]
SSRN Electronic Journal, 2006 AMS classifications: 05C50; 05E99;cospectral graphs;generalized spectrum;generalized adjacency ...
Dam, E.R. van +2 more
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On the Adjacency Matrix of RyR2 Cluster Structures. [PDF]
PLoS Comput Biol, 2015 In the heart, electrical stimulation of cardiac myocytes increases the open probability of sarcolemmal voltage-sensitive Ca2+ channels and flux of Ca2+ into the cells. This increases Ca2+ binding to ligand-gated channels known as ryanodine receptors (RyR2).
Walker MA +5 more
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Rank-GCN for Robust Action Recognition
IEEE Access, 2022 We present a robust skeleton-based action recognition method with graph convolutional network (GCN) that uses the new adjacency matrix, called Rank-GCN. In Rank-GCN, the biggest change from previous approaches is how the adjacency matrix is generated to ...
Haetsal Lee +3 more
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The gamma-Signless Laplacian Adjacency Matrix of Mixed Graphs
Theory and Applications of Graphs, 2023 The α-Hermitian adjacency matrix Hα of a mixed graph X has been recently introduced. It is a generalization of the adjacency matrix of unoriented graphs. In this paper, we consider a special case of the complex number α.
Omar Alomari +2 more
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Anti-Adjacency Matrices of Certain Graphs Derived from Some Graph Operations
Ratio Mathematica, 2023 If we go through the literature, one can find many matrices that are derived for a given simple graph. The one among them is the anti-adjacency matrix which is given as follows; The anti-adjacency matrix of a simple undirected graph $G$ with vertex set
Manju V N, Athul T B, Suresh Singh G
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Relationship between adjacency and distance matrix of graph of diameter two
Indonesian Journal of Combinatorics, 2021 The relationship among every pair of vertices in a graph can be represented as a matrix, such as in adjacency matrix and distance matrix. Both adjacency and distance matrices have the same property.
Siti L. Chasanah +3 more
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Some New Bounds for α-Adjacency Energy of Graphs
Mathematics, 2023 Let G be a graph with the adjacency matrix A(G), and let D(G) be the diagonal matrix of the degrees of G. Nikiforov first defined the matrix Aα(G) as Aα(G)=αD(G)+(1−α)A(G), 0≤α≤1, which shed new light on A(G) and Q(G)=D(G)+A(G), and yielded some ...
Haixia Zhang, Zhuolin Zhang
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