Kernels of directed graph Laplacians

zbMath1097.05026MaRDI QIDQ2500958

J. J. P. Veerman, John S. IV. Caughman

Publication date: 30 August 2006

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126457

zbMATH Keywords

eigenvalueLaplacianstochastic matricesKirchhoff matrix

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (21)

Cluster partitioning of heterogeneous multi-agent systems ⋮ Three conjectures of Ostrander on digraph Laplacian eigenvectors ⋮ On eigenvalues of Laplacian matrix for a class of directed signed graphs ⋮ Further results on digraphs with completely real Laplacian spectra ⋮ Consensus of noisy multiagent systems with Markovian switching topologies and time-varying delays ⋮ Topology-induced containment for general linear systems on weakly connected digraphs ⋮ A new distributed protocol for consensus of discrete-time systems ⋮ Topological approach and analysis of clustering in consensus networks ⋮ Multi‐consensus recovery of multi‐agent system with cyber‐attack based on topology reconstruction controller ⋮ Geometric and spectral analysis on weighted digraphs ⋮ Sliding mode cooperative control for multirobot systems: a finite-time approach ⋮ Finite-time coordination in multiagent systems using sliding mode control approach ⋮ On multi-consensus and almost equitable graph partitions ⋮ Which digraphs with ring structure are essentially cyclic? ⋮ Dominant vertices in regulatory networks dynamics ⋮ Equilibria and control of metabolic networks with enhancers and inhibitors ⋮ Coordination in multiagent systems and Laplacian spectra of digraphs ⋮ On the spectra of certain directed paths ⋮ Diffusion and consensus on weakly connected directed graphs ⋮ Hybrid consensus for multi-agent systems with time-driven jumps ⋮ Stability of metabolic networks via linear-in-flux-expressions

This page was built for publication: Kernels of directed graph Laplacians