Matrix-Weighted Graphs : Theory and Applications - Hyo-Sung Ahn

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Matrix-Weighted Graphs

Theory and Applications

By: Hyo-Sung Ahn, Minh Hoang Trinh

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Hardcover | 25 March 2026

At a Glance

Hardcover
388 Pages

Dimensions(cm)
23.5 x 15.5 x 2.24

Hardcover

$468.99

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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 framework with the matrix-weighted consensus algorithm playing a central role and which coordinates interacting dynamical agents from each vertex in a cooperative and distributed manner; and
• applications of matrix-weighted graphs in network synchronization, social networks, networked input–output economics, network localization and formation control.

The theoretical results provide a firm foundation for researchers wishing to pursue the study of matrix-weighted networks and related topics and are accessible to graduate students with a background in engineering mathematics.

Many of the definitions, analyses, and designs in this book are accompanied by figures, examples and numerical simulations. MATLAB® and Simulink® simulations to assist the reader in understanding and further developing such features are available for download.

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