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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Matrix-Weighted Graphs: Theory and Applications

Matrix-Weighted Graphs: Theory and Applications

Ahn, Hyo-Sung
Trinh, Minh Hoang

Hardcover

Series: Lecture Notes in Control and Information Sciences, Book 498

Technology & EngineeringGeneral MathematicsGeneral Science

ISBN10: 3032030781
ISBN13: 9783032030788
Publisher: Springer
Published: Feb 22 2026
Pages: 361
Weight: 1.58
Height: 0.88 Width: 6.14 Depth: 9.21
Language: English
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.

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