Matrix-Weighted Graphs

Matrix-Weighted Graphs

Theory and Applications

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This book presents and systematizes results in matrix-weighted graphs, a powerful tool for modeling and analysis of multi-dimensional networked systems. The authors select topics addressing fundamental issues, which they arrange in four parts:graphs and networks with matrix weighting, showing how the matrix-weighted Laplacian forms the foundation for further theoretical developments; development of algorithms for various purposes from the determination of connectivity to quantitative measurement as a key pillar in network design and analysis; control-theoretic integration, providing a framewor...