Results 191 to 200 of about 42,885 (208)
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The effect on A α -eigenvalues of mixed graphs and unit gain graphs by adding edges in clusters

Linear and multilinear algebra, 2021
Given a simple graph G, a -cluster of G is a pair of vertex subsets , where size of C is and every vertex in C shares the same set S of s neighbours. Let be a mixed graph whose underlying graph G contains a -cluster and let be a mixed graph on c vertices.
Shuchao Li, Yuantian Yu
semanticscholar   +1 more source

Spectra of complex unit hypergraphs

The Art of Discrete and Applied Mathematics, 2020
A complex unit hypergraph is a hypergraph where each vertex-edge incidence is given a complex unit label. We define the adjacency, incidence, Kirchoff Laplacian and normalized Laplacian of a complex unit hypergraph and study each of them.
R. Mulas, Nathan Reff
semanticscholar   +1 more source

Bounds for the extremal eigenvalues of gain Laplacian matrices

, 2021
A complex unit gain graph ( T -gain graph), Φ = ( G , φ ) is a graph where the function φ assigns a unit complex number to each orientation of an edge of G, and its inverse is assigned to the opposite orientation.
M. Kannan   +2 more
semanticscholar   +1 more source

On bounds of A-eigenvalue multiplicity and the rank of a complex unit gain graph

Discrete Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A bound on the rank of weighted graphs in terms of girth

Linear and multilinear algebra
Let $ \tilde {\Phi }=(G,w) $ Φ~=(G,w) be a connected weighted graph and $ A(\tilde {\Phi }) $ A(Φ~) be its adjacency matrix. The rank $ r(G,w) $ r(G,w) of $ \tilde {\Phi } $ Φ~ is defined as the rank of its adjacency matrix $ A(\tilde {\Phi }) $ A(Φ ...
Suliman Khan   +2 more
semanticscholar   +1 more source

Modeling and Analysis of Defective Ground Structures Based on a Combination of Unit Cells of Simpler Structures

2025 Wave Electronics and its Application in Information and Telecommunication Systems (WECONF)
n the report, modeling and analysis of the defective grounding structure (DGS) were carried out as part of the work to reduce coupling for the developed models of complex structures based on simpler DGS.
V. E. Kutepov, I. V. Peshkov
semanticscholar   +1 more source

The rank of a complex unit gain graph in terms of the rank and the independence number of its underlying graph

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Qi, Song, Jialei, Lu, Yong
openaire   +2 more sources

On H-joins of complex unit gain graphs and their stability

Discrete Mathematics
Callum Huntington   +2 more
semanticscholar   +1 more source

Spectral fundamentals and characterizations of signed directed graphs

Journal of Combinatorial Theory - Series A, 2022
Edwin R Van Dam
exaly  

Planar Pose Graph Optimization: Duality, Optimal Solutions, and Verification

IEEE Transactions on robotics, 2016
L. Carlone   +3 more
semanticscholar   +1 more source

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