Net Theory And Its Applications: Flows In Networks

Net Theory And Its Applications: Flows In Networks

Author: Wai-kai Chen

Publisher: World Scientific

Published: 2003-05-22

Total Pages: 672

ISBN-13: 1783261722

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Electrical, communication, transportation, computer, and neural networks are special kinds of nets. Designing these networks demands sophisticated mathematical models for their analysis. This book is the first to present a unified, comprehensive, and up-to-date treatment of net theory. It brings together elements of abstract graph theory and circuit analysis to network problems.


Topics in Graph Theory

Topics in Graph Theory

Author: Frank Harary

Publisher:

Published: 1979

Total Pages: 248

ISBN-13:

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"This series of papers is the result of the Academy's scientist-in reseidence program honoring Professor Harary on May 2-6, 1977.


Graph Theory for Operations Research and Management: Applications in Industrial Engineering

Graph Theory for Operations Research and Management: Applications in Industrial Engineering

Author: Farahani, Reza Zanjirani

Publisher: IGI Global

Published: 2012-12-31

Total Pages: 367

ISBN-13: 1466626925

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While typically many approaches have been mainly mathematics focused, graph theory has become a tool used by scientists, researchers, and engineers in using modeling techniques to solve real-world problems. Graph Theory for Operations Research and Management: Applications in Industrial Engineering presents traditional and contemporary applications of graph theory in the areas of industrial engineering, management science, and applied operations research. This comprehensive collection of research introduces the useful basic concepts of graph theory in real world applications.


Graph-Based Representations in Pattern Recognition

Graph-Based Representations in Pattern Recognition

Author: Andrea Torsello

Publisher: Springer Science & Business Media

Published: 2009-07-09

Total Pages: 387

ISBN-13: 3642021247

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This book constitutes the refereed proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition, GbRPR 2009, held in Venice, Italy in May 2009. The 37 revised full papers presented were carefully reviewed and selected from 47 submissions. The papers are organized in topical sections on graph-based representation and recognition, graph matching, graph clustering and classification, pyramids, combinatorial maps, and homologies, as well as graph-based segmentation.


Graph Representation Learning

Graph Representation Learning

Author: William L. William L. Hamilton

Publisher: Springer Nature

Published: 2022-06-01

Total Pages: 141

ISBN-13: 3031015886

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Graph-structured data is ubiquitous throughout the natural and social sciences, from telecommunication networks to quantum chemistry. Building relational inductive biases into deep learning architectures is crucial for creating systems that can learn, reason, and generalize from this kind of data. Recent years have seen a surge in research on graph representation learning, including techniques for deep graph embeddings, generalizations of convolutional neural networks to graph-structured data, and neural message-passing approaches inspired by belief propagation. These advances in graph representation learning have led to new state-of-the-art results in numerous domains, including chemical synthesis, 3D vision, recommender systems, question answering, and social network analysis. This book provides a synthesis and overview of graph representation learning. It begins with a discussion of the goals of graph representation learning as well as key methodological foundations in graph theory and network analysis. Following this, the book introduces and reviews methods for learning node embeddings, including random-walk-based methods and applications to knowledge graphs. It then provides a technical synthesis and introduction to the highly successful graph neural network (GNN) formalism, which has become a dominant and fast-growing paradigm for deep learning with graph data. The book concludes with a synthesis of recent advancements in deep generative models for graphs—a nascent but quickly growing subset of graph representation learning.