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Universal Adjacency Matrices with Two Eigenvalues [PDF]

AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Haemers, W.H., Omidi, G.R.
core   +1 more source

Laplacian Matrix Based Spectral Graph Clustering

International Journal of Innovative Technology and Exploring Engineering, 2019
Recent attention in the research field of clustering is focused on grouping of clusters based on structure of a graph. At present, there are plentiful literature work has been proposed towards the clustering techniques but it is still an open challenge to find the best technique for clustering.
openaire   +1 more source

Maximizing the smallest eigenvalue of grounded Laplacian matrix

Journal of Global Optimization
For a connected graph $\mathcal{G}=(V,E)$ with $n$ nodes, $m$ edges, and Laplacian matrix $\boldsymbol{\mathit{L}}$, a grounded Laplacian matrix $\boldsymbol{\mathit{L}}(S)$ of $\mathcal{G}$ is a $(n-k) \times (n-k)$ principal submatrix of $\boldsymbol{\mathit{L}}$, obtained from $\boldsymbol{\mathit{L}}$ by deleting $k$ rows and columns corresponding ...
Xiaotian Zhou, Run Wang, Wei Li, Zhongzhi Zhang   +3 more
openaire   +3 more sources

Normalized Laplacian spectrum of some subdivision-joins and R-joins of two regular graphs

AKCE International Journal of Graphs and Combinatorics, 2018
In this paper we determine the full normalized Laplacian spectrum of the subdivision-vertex join, subdivision-edge join, R-vertex join, and R-edge join of two regular graphs in terms of the normalized Laplacian eigenvalues of the graphs.
Arpita Das, Pratima Panigrahi
doaj   +1 more source

On the spectral radius and energy of signless Laplacian matrix of digraphs. [PDF]

Heliyon, 2022
Ganie HA, Shang Y.
europepmc   +1 more source

A Sylvester-Kac matrix type and the Laplacian controllability of half graphs

, 2022
Milica Anđelić, Carlos M. da Fonseca, Emrah Kılıç, Zoran Stanić   +3 more
openalex   +2 more sources

On the Signless Laplacian ABC-Spectral Properties of a Graph

Mathematics
In the paper, we introduce the signless Laplacian ABC-matrix Q̃(G)=D¯(G)+Ã(G), where D¯(G) is the diagonal matrix of ABC-degrees and Ã(G) is the ABC-matrix of G. The eigenvalues of the matrix Q̃(G) are the signless Laplacian ABC-eigenvalues of G.
Bilal A. Rather, Hilal A. Ganie, Yilun Shang   +2 more
doaj   +1 more source

Robust joint clustering of multi-omics single-cell data via multi-modal high-order neighborhood Laplacian matrix optimization. [PDF]

Bioinformatics, 2023
Jiang H, Zhan S, Ching WK, Chen L.
europepmc   +1 more source

A boosted outlier detection method based on the spectrum of the Laplacian matrix of a graph [PDF]

, 2020
Nicolas Cofre
openalex   +1 more source

On distance signless Laplacian spectrum and energy of graphs

Electronic Journal of Graph Theory and Applications, 2018
The distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G‎, ‎defined as ‎D‎Q(G) = Tr(G) + D(G)‎, ‎where D(G) is the distance matrix of G and Tr(G) is the diagonal ...
Abdollah Alhevaz, Maryam Baghipur, Ebrahim Hashemi   +2 more
doaj   +1 more source