The Petersen Graph

The Petersen Graph PDF Author: D. A. Holton
Publisher: Cambridge University Press
ISBN: 0521435943
Category : Mathematics
Languages : en
Pages : 367

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Book Description
The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.

The Petersen Graph

The Petersen Graph PDF Author: D. A. Holton
Publisher: Cambridge University Press
ISBN: 0521435943
Category : Mathematics
Languages : en
Pages : 367

Get Book

Book Description
The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.

The Julius Petersen Graph Theory Centennial

The Julius Petersen Graph Theory Centennial PDF Author: L.D. Andersen
Publisher: Elsevier
ISBN: 1483296326
Category : Mathematics
Languages : en
Pages :

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Book Description
Julius Petersen's paper, Die Theorie der regulären graphs in Acta Mathematica, volume 15 (1891), stands at the beginning of graph theory as we know it today. The Danish group of graph theorists decided in 1985 to mark the 150th birthday of Petersen in 1989, as well as the centennial of his paper. It was felt that the occasion called for a presentation of Petersen's famous paper in its historical context and, in a wider sense, of Petersen's life and work as a whole. However, the readily available information about Julius Petersen amounted to very little (not even a full bibliography existed) and virtually nothing was known about the circumstances that led him to write his famous paper. The study of Petersen's life and work has resulted in several papers, in particular a biography, a bibliography, an annotated edition of the letters surrounding Petersen's paper of 1891, an analysis of Petersen's paper and an annotated edition of parts of Petersen's correspondence with Sylow on Galois theory. The first four of these papers, together with a survey of matching theory, form the first part of this book. In addition to these five special papers, there are papers submitted in the celebration of the Petersen centennial.

Introduction to Graph Theory

Introduction to Graph Theory PDF Author: Koh Khee Meng
Publisher: World Scientific Publishing Company
ISBN: 9813101636
Category : Mathematics
Languages : en
Pages : 244

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Book Description
Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

The Petersen Graph Theory

The Petersen Graph Theory PDF Author: Derek Allan Holton
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 0

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Book Description


Algorithms and Discrete Applied Mathematics

Algorithms and Discrete Applied Mathematics PDF Author: Manoj Changat
Publisher: Springer Nature
ISBN: 3030392198
Category : Mathematics
Languages : en
Pages : 497

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Book Description
This book constitutes the proceedings of the 6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020, held in Hyderabad, India, in February 2020. The 38 papers presented together with 2 invited talks in this volume were carefully reviewed and selected from 102 submissions. The papers are organized in topical sections on graph algorithms, graph theory, combinatorial optimization, distributed algorithms, combinatorial algorithms, and computational complexity.

Pearls in Graph Theory

Pearls in Graph Theory PDF Author: Nora Hartsfield
Publisher: Courier Corporation
ISBN: 0486315525
Category : Mathematics
Languages : en
Pages : 272

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Book Description
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.

Integer Flows and Cycle Covers of Graphs

Integer Flows and Cycle Covers of Graphs PDF Author: Cun-Quan Zhang
Publisher: CRC Press
ISBN: 9780824797904
Category : Mathematics
Languages : en
Pages : 402

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Book Description
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.

Discrete Mathematics

Discrete Mathematics PDF Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781724572639
Category :
Languages : en
Pages : 238

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Book Description
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

A First Course in Graph Theory

A First Course in Graph Theory PDF Author: Gary Chartrand
Publisher: Courier Corporation
ISBN: 0486297306
Category : Mathematics
Languages : en
Pages : 464

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Book Description
Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

Intelligent Techniques and Applications in Science and Technology

Intelligent Techniques and Applications in Science and Technology PDF Author: Subhojit Dawn
Publisher: Springer Nature
ISBN: 3030423638
Category : Technology & Engineering
Languages : en
Pages : 1126

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Book Description
This book provides innovative ideas on achieving sustainable development and using green technologies to conserve our ecosystem. Innovation is the successful exploitation of a new idea. Through innovation, we can achieve MORE while using LESS. Innovations in science & technology will not only help mankind as a whole, but also contribute to the economic growth of individual countries. It is essential that the global problem of environmental degradation be addressed immediately, and thus, we need to rethink the concept of sustainable development. Indeed, new environmentally friendly technologies are fundamental to attaining sustainable development. The book shares a wealth of innovative green technological ideas on how to preserve and improve the quality of the environment, and how to establish a more resource-efficient and sustainable society. The book provides an interdisciplinary approach to addressing various technical issues and capitalizing on advances in computing & optimization for scientific & technological development, smart information, communication, bio-monitoring, smart cities, food quality assessment, waste management, environmental aspects, alternative energies, sustainable infrastructure development, etc. In short, it offers valuable information and insights for budding engineers, researchers, upcoming young minds and industry professionals, promoting awareness for recent advances in the various fields mentioned above.