Results 71 to 80 of about 79,461 (254)

Graph Laplacians and Stabilization of Vehicle Formations [PDF]

, 2001
Control of vehicle formations has emerged as a topic of significant interest to the controls community. In this paper, we merge tools from graph theory and control theory to derive stability criteria for formation stabilization.
Fax, J. Alexander, Murray, Richard M.
core   +1 more source

Eigenvector-based identification of bipartite subgraphs

, 2018
We report our experiments in identifying large bipartite subgraphs of simple connected graphs which are based on the sign pattern of eigenvectors belonging to the extremal eigenvalues of different graph matrices: adjacency, signless Laplacian, Laplacian,
Asratian, Baker, Barabási, Bylka, Chao, Chung, Dall, Debdas Paul, de la Peña, Dragan Stevanović, Edwards, Erds, Erdös, Erdös, Estrada, Estrada, Estrada, Gilbert, Goemans, Grone, Guillaume, Guillaume, Holme, Håstad, Michael, Mitzenmacher, Moon, Moon, Motwani, Newman, Newman, Pavlopoulos, Pavlopoulos, Penrose, Perron, Pillai, Platig, Pržulj, Roth, Roy, Sachs, Schweitzer, Watts   +42 more
core   +1 more source

Graph Laplacian for Semi-supervised Learning

, 2023
Semi-supervised learning is highly useful in common scenarios where labeled data is scarce but unlabeled data is abundant. The graph (or nonlocal) Laplacian is a fundamental smoothing operator for solving various learning tasks. For unsupervised clustering, a spectral embedding is often used, based on graph-Laplacian eigenvectors.
Streicher, Or, Gilboa, Guy
openaire   +2 more sources

GraphNeuralCloth: A Graph‐Neural‐Network‐Based Framework for Non‐Skinning Cloth Simulation

Advanced Intelligent Systems, EarlyView.
This study presents a cloth motion capture system and a point‐cloud‐to‐mesh processing method to support the prediction of real‐world fabric deformation. GraphNeuralCloth, a graph neural‐network (GNN)‐based framework is also proposed to estimate the cloth morphology change in real time.
Yingqi Li, Xiaomei Wang, Xiaoqi Song, Chenchen Fan, Bohao Zhu, Jianan Peng, Qixin Liang, James Lam, Kam‐Yim Sze, Ka‐Wai Kwok   +9 more
wiley   +1 more source

What is a proper graph Laplacian? An operator-theoretic framework for graph diffusion

Special Matrices
We introduce an operator-theoretic definition of a proper graph Laplacian as any matrix associated with a given graph that can be expressed as the composition of a divergence and a gradient operator, with the gradient acting between graph-related spaces ...
Estrada Ernesto
doaj   +1 more source

Laplacian‎ ‎Coefficients of a‎ ‎Forest in Terms of the Number of Closed Walks in the Forest and its Line Graph [PDF]

Mathematics Interdisciplinary Research
‎In this paper‎, ‎we deal with calculating the laplacian coefficients of a finite simple graph $G$ with the Laplacian polynomial $\psi(G,\lambda) = \sum_{k=0}^{n}(-1)^{n-k}c_k\lambda^k$‎.
Ali Ghalavand, Alireza Ashrafi
doaj   +1 more source

RECOGNITION OF HUMAN POSE FROM IMAGES BASED ON GRAPH SPECTRA [PDF]

The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2015
Recognition of human pose is an actual problem in computer vision. To increase the reliability of the recognition it is proposed to use structured information in the form of graphs.
A. A. Zakharov, A. E. Barinov, A. L. Zhiznyakov   +2 more
doaj   +1 more source

Golden Laplacian Graphs

Mathematics
Many properties of the structure and dynamics of complex networks derive from the characteristics of the spectrum of the associated Laplacian matrix, specifically from the set of its eigenvalues. In this paper, we show that there exist graphs for which the ratio between the length of the spectrum (that is, the difference between the largest and ...
Akhter S., Frasca M., Estrada E.
openaire   +3 more sources

Model‐informed drug development to support nemolizumab clinical development in adults and adolescents with moderate to severe atopic dermatitis

British Journal of Clinical Pharmacology, EarlyView.
Abstract Aims Population pharmacokinetic (popPK) and pharmacokinetic‐pharmacodynamic (PK/PD) models were developed to support clinical development of nemolizumab, a humanized monoclonal antibody targeting the IL‐31 receptor α, in adolescents and adults with moderate‐to‐severe atopic dermatitis (AD).
Floris Fauchet, Anna Largajolli, Petra M. Jauslin, Emilie Schindler, Mourad Hamimed, Wannee Kantasiripitak, Antonio Gonçalves, Eline Van Maanen, Khaled Benkali, Tomohisa Saito, Jonathan I. Silverberg, Andreas Wollenberg, Michael Graeber, Liliana Ulianov, Christophe Piketty, Luca Loprete, Vincent Duval, Nathalie Wagner   +17 more
wiley   +1 more source

The First Zagreb Index, the Laplacian Spectral Radius, and Some Hamiltonian Properties of Graphs

Mathematics
The first Zagreb index of a graph G is defined as the sum of the squares of the degrees of all the vertices in G. The Laplacian spectral radius of a graph G is defined as the largest eigenvalue of the Laplacian matrix of the graph G.
Rao Li
doaj   +1 more source