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The adjacency matrix and the discrete Laplacian acting on forms
Mathematical physics, analysis and geometry, 2015 We study the relationship between the adjacency matrix and the discrete Laplacian acting on 1-forms. We also prove that if the adjacency matrix is bounded from below it is not necessarily essentially self-adjoint.
Baloudi, Hatem +2 more
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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.
Guo, Krystal, Mohar, Bojan
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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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Centerless Multi-View K-means Based on the Adjacency Matrix
AAAI Conference on Artificial Intelligence, 2023 Although K-Means clustering has been widely studied due to its simplicity, these methods still have the following fatal drawbacks. Firstly, they need to initialize the cluster centers, which causes unstable clustering performance.
Han Lu +4 more
semanticscholar +1 more source
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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Extremal Problems for Graphical Function-Indices and f-Weighted Adjacency Matrix
Discrete Mathematics Letters, 2022 Let f(x, y) (f(x)) be a symmetric real function (real function) and G = (V,E) be a graph. Denote by di the degree of a vertex i in G. The graphical function-index TIf (G) (Hf (G)) of G with edge-weight (vertex-weight) function f(x, y) (f(x)) is defined ...
Xueliang Li, Danni Peng
semanticscholar +1 more source
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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