Results 1 to 10 of about 121,348 (314)

Synchronization under matrix-weighted Laplacian [PDF]

Automatica, 2016
Synchronization in a group of linear time-invariant systems is studied where the coupling between each pair of systems is characterized by a different output matrix. Simple methods are proposed to generate a (separate) linear coupling gain for each pair of systems, which ensures that all the solutions converge to a common trajectory.
S. Emre Tuna
core   +5 more sources

On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs [PDF]

AKCE International Journal of Graphs and Combinatorics, 2023
In this article, we associate a Hermitian matrix to a multidigraph G. We call it the complex Laplacian matrix of G and denote it by [Formula: see text]. It is shown that the complex Laplacian matrix is a generalization of the Laplacian matrix of a graph.
Sasmita Barik, Sane Umesh Reddy, Gopinath Sahoo   +2 more
doaj   +2 more sources

Trees with Matrix Weights: Laplacian Matrix and Characteristic-like Vertices [PDF]

Linear Algebra and its Applications, 2020
It is known that there is an alternative characterization of characteristic vertices for trees with positive weights on their edges via Perron values and Perron branches. Moreover, the algebraic connectivity of a tree with positive edge weights can be expressed in terms of Perron value.
Swetha Ganesh, Sumit Mohanty
openalex   +3 more sources

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.
Bharathi Malkreddy, Bharathi Malakreddy, Changqing Kun Zhan, Zhang, Feiping Nie, Et, K Kavitha, Et, P Ambika, Dr Bharathi Malakreddy, A, Eti Abhishek, Goel, Arthur Guillon, Marie-Jeanne Leso, Xi Peng, Y Zhiding, J Shi, J Malik, M Fiedler, Huazhong Ninga, Et, Jianbo Shi, Jitendra Malik, Parthajit Roy, Jiang Yi, Ren Jiangtao, T Xiang, S Gong, Von Hein, Luxburg, Mohar, Jianbo Shi, Jitendra Malik   +33 more
openalex   +2 more sources

Spectral properties of edge Laplacian matrix [PDF]

, 2023
Let $N(X)$ be the Laplacian matrix of a directed graph obtained from the edge adjacency matrix of a graph $X.$ In this work, we study the bipartiteness property of the graph with the help of $N(X).$ We computed the spectrum of the edge Laplacian matrix for the regular graphs, the complete bipartite graphs, and the trees.
Shivani Chauhan, A. Satyanarayana Reddy
openalex   +4 more sources

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   +3 more sources

Estimating Mixed-Memberships Using the Symmetric Laplacian Inverse Matrix [PDF]

Journal of the Korean Statistical Society, 2020
Mixed membership community detection is a challenging problem. In this paper, to detect mixed memberships, we propose a new method Mixed-SLIM which is a spectral clustering method on the symmetrized Laplacian inverse matrix under the degree-corrected mixed membership model.
Huan Qing, Jingli Wang
openalex   +3 more sources

The signless Laplacian matrix of hypergraphs

Special Matrices, 2022
In this article, we define signless Laplacian matrix of a hypergraph and obtain structural properties from its eigenvalues. We generalize several known results for graphs, relating the spectrum of this matrix to structural parameters of the hypergraph ...
Cardoso Kauê, Trevisan Vilmar
doaj   +3 more sources

Hermitian Laplacian Matrix of Directed Graphs [PDF]

Jisuanji kexue, 2023
Laplacian matrix plays an important role in the research of undirected graphs.From its spectrum,some structure and properties of a graph can be deduced.Based on this,several efficient algorithms have been designed for relevant tasks in graphs,such as ...
LIU Kaiwen, HUANG Zengfeng
doaj   +2 more sources

Largest Eigenvalue of the Laplacian Matrix [PDF]

, 2015
Following an editorial request, this is the second part of the article originally available in arxiv:1405.4880v1, corresponding to Section 6 of that manuscript. Several clarification comments and improvements to the original exposition were added, and the introduction and background materials are new. No new mathematical content was added.
Benjamin Iriarte Giraldo
openalex   +3 more sources