Graph Theory

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Publisher : CRC Press
ISBN 13 : 9780852742228
Total Pages : 298 pages
Book Rating : 4.7/5 (422 download)

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Book Synopsis Graph Theory by : B Andrasfai

Download or read book Graph Theory written by B Andrasfai and published by CRC Press. This book was released on 1991-01-01 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory: Flows, Matrices covers a number of topics in graph theory that are important in the major areas of application. It provides graph theoretic tools that can be readily and efficiently applied to problems in operational research, computer science, electrical engineering, and economics. Emphasizing didactic principles, the book derives theorems and proofs from a detailed analysis of the structure of graphs. The easy-to-follow algorithms can be readily converted to computer codes in high-level programming languages. Requiring knowledge of the basic concepts of graph theory and a familiarity with some simple results, the book also includes 100 exercises with solutions to help readers gain experience and 131 diagrams to aid in the understanding of concepts and proofs.

Flows in Graphs and Related Problems

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Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783843376549
Total Pages : 264 pages
Book Rating : 4.3/5 (765 download)

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Book Synopsis Flows in Graphs and Related Problems by : Martin Kochol

Download or read book Flows in Graphs and Related Problems written by Martin Kochol and published by LAP Lambert Academic Publishing. This book was released on 2010-11 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flows in graphs present a basis for solving many problems in modern mathematics, having applications in practice and significant theoretical impact in various areas on discrete mathematics, such as graph coloring, labeling, covering of graphs, matroid theory, combinatorial optimization, and statistical physics. In the book are considered several theoretical aspects of flows in graphs. The results are divided into three parts. In the first part, nowhere-zero group- and integer-valued flows are studied, together with related areas regarding snarks and graph colorings. The second part contains results about cycle double coverings of graphs, hamiltonian cycles and dominating cycles. The last part is devoted to flows in combinatorial optimization and some related areas from transversal theory and latin squares. The work was presented as DSc. Thesis in the Academy of Sciences of Czech Republic. It can be useful for advanced students and researchers interested in combinatorics and graph theory.

Network Flow Algorithms

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Publisher : Cambridge University Press
ISBN 13 : 1316946665
Total Pages : 327 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Network Flow Algorithms by : David P. Williamson

Download or read book Network Flow Algorithms written by David P. Williamson and published by Cambridge University Press. This book was released on 2019-09-05 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network flow theory has been used across a number of disciplines, including theoretical computer science, operations research, and discrete math, to model not only problems in the transportation of goods and information, but also a wide range of applications from image segmentation problems in computer vision to deciding when a baseball team has been eliminated from contention. This graduate text and reference presents a succinct, unified view of a wide variety of efficient combinatorial algorithms for network flow problems, including many results not found in other books. It covers maximum flows, minimum-cost flows, generalized flows, multicommodity flows, and global minimum cuts and also presents recent work on computing electrical flows along with recent applications of these flows to classical problems in network flow theory.

Integer Flows and Cycle Covers of Graphs

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Publisher : CRC Press
ISBN 13 : 9780824797904
Total Pages : 402 pages
Book Rating : 4.7/5 (979 download)

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Book Synopsis Integer Flows and Cycle Covers of Graphs by : Cun-Quan Zhang

Download or read book Integer Flows and Cycle Covers of Graphs written by Cun-Quan Zhang and published by CRC Press. This book was released on 1997-01-02 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on classical problems in graph theory, including the 5-flow conjectures, the edge-3-colouring conjecture, the 3-flow conjecture and the cycle double cover conjecture. The text highlights the interrelationships between graph colouring, integer flow, cycle covers and graph minors. It also concentrates on graph theoretical methods and results.

Programming in Networks and Graphs

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Publisher : Springer Science & Business Media
ISBN 13 : 3642517137
Total Pages : 323 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Programming in Networks and Graphs by : Ulrich Derigs

Download or read book Programming in Networks and Graphs written by Ulrich Derigs and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network flow and matching are often treated separately in the literature and for each class a variety of different algorithms has been developed. These algorithms are usually classified as primal, dual, primal-dual etc. The question the author addresses in this work is that of the existence of a common combinatorial principle which might be inherent in all those apparently different approaches. It is shown that all common network flow and matching algorithms implicitly follow the so-called shortest augmenting path. This can be interpreted as a greedy-like decision rule where the optimal solution is built up through a sequence of local optimal solutions. The efficiency of this approach is realized by combining this myopic decision rule with an anticipant organization. The approach of this work is organized as follows. For several standard flow and matching problems the common solution procedures are first reviewed. It is then shown that they all reduce to a common basic principle, that is, they all perform the same computational steps if certain conditions are set properly and ties are broken according to a common rule. Recognizing this near-equivalence of all commonly used algorithms the question of the best method has to be modified - all methods are (only) different implementations of the same algorithm obtained by different views of the problem.

Network flows and network design in theory and practice

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Author :
Publisher : Jannik Matuschke
ISBN 13 :
Total Pages : 172 pages
Book Rating : 4./5 ( download)

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Book Synopsis Network flows and network design in theory and practice by : Jannik Matuschke

Download or read book Network flows and network design in theory and practice written by Jannik Matuschke and published by Jannik Matuschke. This book was released on 2014 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Network flow and network design problems arise in various application areas of combinatorial optimization, e.g., in transportation, production, or telecommunication. This thesis contributes new results to four different problem classes from this area, providing models and algorithms with immediate practical impact as well as theoretical insights into complexity and combinatorial structure of network optimization problems: (i) We introduce a new model for tactical transportation planning that employs a cyclic network expansion to integrate routing and inventory decisions into a unified capacitated network design formulation. We also devise several algorithmic approaches to solve the resulting optimization problem and demonstrate the applicability of our approach on a set of real-world logistic networks. (ii) We present approximation algorithms for combined location and network design problems, including the first constant factor approximation for capacitated location routing. (iii) We derive a max-flow/min-cut theorem for abstract flows over time, a generalization of the well-known work of Ford and Fulkerson that restricts to a minimal set of structural requirements. (iv) We devise algorithms for finding orientations of embedded graphs with degree constraints on vertices and faces, answering an open question by Frank.

Eulerian Graphs and Related Topics

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Publisher : Elsevier
ISBN 13 : 0080867901
Total Pages : 337 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Eulerian Graphs and Related Topics by :

Download or read book Eulerian Graphs and Related Topics written by and published by Elsevier. This book was released on 1991-06-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eulerian Graphs and Related Topics

Two Cycle-related Problems of Regular Data Flow Graphs

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (389 download)

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Book Synopsis Two Cycle-related Problems of Regular Data Flow Graphs by : Praveen K. Murthy

Download or read book Two Cycle-related Problems of Regular Data Flow Graphs written by Praveen K. Murthy and published by . This book was released on 1997 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithm Design

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Publisher : Pearson Higher Ed
ISBN 13 : 1292037040
Total Pages : 828 pages
Book Rating : 4.2/5 (92 download)

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Book Synopsis Algorithm Design by : Jon Kleinberg

Download or read book Algorithm Design written by Jon Kleinberg and published by Pearson Higher Ed. This book was released on 2013-08-29 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithm Design introduces algorithms by looking at the real-world problems that motivate them. The book teaches students a range of design and analysis techniques for problems that arise in computing applications. The text encourages an understanding of the algorithm design process and an appreciation of the role of algorithms in the broader field of computer science. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Network Flow Problems in Planar Graphs

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Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (951 download)

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Book Synopsis Network Flow Problems in Planar Graphs by : Yahav Nussbaum

Download or read book Network Flow Problems in Planar Graphs written by Yahav Nussbaum and published by . This book was released on 2014 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

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Author :
Publisher : CRC Press
ISBN 13 : 1420011073
Total Pages : 1217 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by : Krishnaiyan "KT" Thulasiraman

Download or read book Handbook of Graph Theory, Combinatorial Optimization, and Algorithms written by Krishnaiyan "KT" Thulasiraman and published by CRC Press. This book was released on 2016-01-05 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c

Pro TBB

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Publisher : Apress
ISBN 13 : 1484243986
Total Pages : 854 pages
Book Rating : 4.4/5 (842 download)

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Book Synopsis Pro TBB by : Michael Voss

Download or read book Pro TBB written by Michael Voss and published by Apress. This book was released on 2019-07-09 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is a modern guide for all C++ programmers to learn Threading Building Blocks (TBB). Written by TBB and parallel programming experts, this book reflects their collective decades of experience in developing and teaching parallel programming with TBB, offering their insights in an approachable manner. Throughout the book the authors present numerous examples and best practices to help you become an effective TBB programmer and leverage the power of parallel systems. Pro TBB starts with the basics, explaining parallel algorithms and C++'s built-in standard template library for parallelism. You'll learn the key concepts of managing memory, working with data structures and how to handle typical issues with synchronization. Later chapters apply these ideas to complex systems to explain performance tradeoffs, mapping common parallel patterns, controlling threads and overhead, and extending TBB to program heterogeneous systems or system-on-chips. What You'll Learn Use Threading Building Blocks to produce code that is portable, simple, scalable, and more understandableReview best practices for parallelizing computationally intensive tasks in your applications Integrate TBB with other threading packages Create scalable, high performance data-parallel programs Work with generic programming to write efficient algorithms Who This Book Is For C++ programmers learning to run applications on multicore systems, as well as C or C++ programmers without much experience with templates. No previous experience with parallel programming or multicore processors is required.

Graph Algorithms

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Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1492047635
Total Pages : 297 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis Graph Algorithms by : Mark Needham

Download or read book Graph Algorithms written by Mark Needham and published by "O'Reilly Media, Inc.". This book was released on 2019-05-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover how graph algorithms can help you leverage the relationships within your data to develop more intelligent solutions and enhance your machine learning models. You’ll learn how graph analytics are uniquely suited to unfold complex structures and reveal difficult-to-find patterns lurking in your data. Whether you are trying to build dynamic network models or forecast real-world behavior, this book illustrates how graph algorithms deliver value—from finding vulnerabilities and bottlenecks to detecting communities and improving machine learning predictions. This practical book walks you through hands-on examples of how to use graph algorithms in Apache Spark and Neo4j—two of the most common choices for graph analytics. Also included: sample code and tips for over 20 practical graph algorithms that cover optimal pathfinding, importance through centrality, and community detection. Learn how graph analytics vary from conventional statistical analysis Understand how classic graph algorithms work, and how they are applied Get guidance on which algorithms to use for different types of questions Explore algorithm examples with working code and sample datasets from Spark and Neo4j See how connected feature extraction can increase machine learning accuracy and precision Walk through creating an ML workflow for link prediction combining Neo4j and Spark

Networks and Graphs

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Publisher : Elsevier
ISBN 13 : 0857099574
Total Pages : 204 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Networks and Graphs by : D K Smith

Download or read book Networks and Graphs written by D K Smith and published by Elsevier. This book was released on 2003-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr Smith here presents essential mathematical and computational ideas of network optimisation for senior undergraduate and postgraduate students in mathematics, computer science and operational research. He shows how algorithms can be used for finding optimal paths and flows, identifying trees in networks, and optimal matching. Later chapters discuss postman and salesperson tours, and demonstrate how many network problems are related to the ''minimal-cost feasible-flow'' problem. Techniques are presented both informally and with mathematical rigour and aspects of computation, especially of complexity, have been included. Numerous examples and diagrams illustrate the techniques and applications. The book also includes problem exercises with tutorial hints. - Presents essential mathematical and computational ideas of network optimisation for senior undergraduate and postgraduate students in mathematics, computer science and operational research - Demonstrates how algorithms can be used for finding optimal paths and flows, identifying trees in networks and optimal matching - Numerous examples and diagrams illustrate the techniques and applications

Bilichgraz

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (556 download)

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Book Synopsis Bilichgraz by :

Download or read book Bilichgraz written by and published by . This book was released on 1679 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Paths, Flows, and VLSI-layout

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Publisher : Springer
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Paths, Flows, and VLSI-layout by : Bernhard H. Korte

Download or read book Paths, Flows, and VLSI-layout written by Bernhard H. Korte and published by Springer. This book was released on 1990 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Graph Representation Learning

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Publisher : Springer Nature
ISBN 13 : 3031015886
Total Pages : 141 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Graph Representation Learning by : William L. William L. Hamilton

Download or read book Graph Representation Learning written by William L. William L. Hamilton and published by Springer Nature. This book was released on 2022-06-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.