Results 51 to 60 of about 2,956,415 (357)
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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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 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
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Graph Spectral Properties of Deterministic Finite Automata
, 2014 We prove that a minimal automaton has a minimal adjacency matrix rank and a minimal adjacency matrix nullity using equitable partition (from graph spectra theory) and Nerode partition (from automata theory). This result naturally introduces the notion of
A. Goldberg +5 more
core +1 more source
On α-adjacency energy of graphs and Zagreb index
AKCE International Journal of Graphs and Combinatorics, 2021 Let A(G) be the adjacency matrix and D(G) be the diagonal matrix of the vertex degrees of a simple connected graph G. Nikiforov defined the matrix of the convex combinations of D(G) and A(G) as for If are the eigenvalues of (which we call α-adjacency ...
S. Pirzada +3 more
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On the Adjacency, Laplacian, and Signless Laplacian Spectrum of Coalescence of Complete Graphs
Journal of Mathematics, 2016 Coalescence as one of the operations on a pair of graphs is significant due to its simple form of chromatic polynomial. The adjacency matrix, Laplacian matrix, and signless Laplacian matrix are common matrices usually considered for discussion under ...
S. R. Jog, Raju Kotambari
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On the limiting behavior of parameter-dependent network centrality measures [PDF]
, 2015 We consider a broad class of walk-based, parameterized node centrality measures for network analysis. These measures are expressed in terms of functions of the adjacency matrix and generalize various well-known centrality indices, including Katz and ...
Benzi, Michele, Klymko, Christine
core +3 more sources
The Caenorhabditis elegans DPF‐3 and human DPP4 have tripeptidyl peptidase activity
FEBS Letters, EarlyView.The dipeptidyl peptidase IV (DPPIV) family comprises serine proteases classically defined by their ability to remove dipeptides from the N‐termini of substrates, a feature that gave the family its name. Here, we report the discovery of a previously unrecognized tripeptidyl peptidase activity in DPPIV family members from two different species.
Aditya Trivedi, Rajani Kanth Gudipati
wiley +1 more source
KAMG: A Tool for Converting Blood Ties and Affinity Ties into Adjacency Matrices
Journal of Open Research Software, 2016 Kinship Adjacency Matrix Generator (KAMG) is a browser-based software for creating adjacency matrices using the information of kinship ties. Specifically, it is capable of converting the family trees in the format of GEDCOM files into adjacency matrices ...
Hang Xiong, Pin Xiong, Hui Xiong
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Deep Learning Techniques for Community Detection in Social Networks
IEEE Access, 2020 Graph embedding is an effective yet efficient way to convert graph data into a low dimensional space. In recent years, deep learning has applied on graph embedding and shown outstanding performance.
Ling Wu +4 more
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