Zero Symmetric Graphs

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Zero Symmetric Graphs

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Author : H. S. M. Coxeter
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Zero Symmetric Graphs written by H. S. M. Coxeter and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.

Zero-Symmetric Graphs: Trivalent Graphical Regular Representations of Groups describes the zero-symmetric graphs with not more than 120 vertices.The graphs considered in this text are finite, connected, vertex-transitive and trivalent. This book is organized into three parts encompassing 25 chapters. The first part reviews the different classes of zero-symmetric graphs, according to the number of essentially different edges incident at each vertex, namely, the S, T, and Z classes. The remaining two parts discuss the theorem and characteristics of type 1Z and 3Z graphs. These parts explore Cayley graphs of specific groups, including the parameters of Cayley graphs of groups. This book will prove useful to mathematicians, computer scientists, and researchers.

Inverse Problems And Zero Forcing For Graphs

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Author : Leslie Hogben
language : en
Publisher: American Mathematical Society
Release Date : 2022-07-21

Inverse Problems And Zero Forcing For Graphs written by Leslie Hogben and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-21 with Mathematics categories.

This book provides an introduction to the inverse eigenvalue problem for graphs (IEP-$G$) and the related area of zero forcing, propagation, and throttling. The IEP-$G$ grew from the intersection of linear algebra and combinatorics and has given rise to both a rich set of deep problems in that area as well as a breadth of “ancillary” problems in related areas. The IEP-$G$ asks a fundamental mathematical question expressed in terms of linear algebra and graph theory, but the significance of such questions goes beyond these two areas, as particular instances of the IEP-$G$ also appear as major research problems in other fields of mathematics, sciences and engineering. One approach to the IEP-$G$ is through rank minimization, a relevant problem in itself and with a large number of applications. During the past 10 years, important developments on the rank minimization problem, particularly in relation to zero forcing, have led to significant advances in the IEP-$G$. The monograph serves as an entry point and valuable resource that will stimulate future developments in this active and mathematically diverse research area.

Nearrings And Nearfields

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Author : Hubert Kiechle
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-04-19

Nearrings And Nearfields written by Hubert Kiechle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-19 with Mathematics categories.

The present volume is the Proceedings of the 18th International Conference on Nearrings and Nearfields held at the Helmut-Schmidt-Universität, Universität der Bundeswehr Hamburg, from July 27 – August 3, 2003. It contains the written versions of the lectures by the five invited speakers. These concern recent developments of planar nearrings, nearrings of mappings, group nearrings and loop-nearrings. One of them is a long and very substantial research paper "The Z-Constrained Conjecture". They are followed by 13 contributions reflecting the diversity of the subject of nearrings and related structures. Besides the purely algebraic structure theory these papers show many connections of nearring theory with group theory, combinatorics, geometries, and topology. They all contain original research.

Graph Theoretic Concepts In Computer Science

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Author : Peter Widmayer
language : en
Publisher: Springer
Release Date : 2003-06-26

Graph Theoretic Concepts In Computer Science written by Peter Widmayer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-26 with Computers categories.

This book constitutes the refereed proceedings of the 25th International Workshop on Graph-Theorie Concepts in Computer Science WG'99, held at the Centre Stefano Frascini on Monte Verita, Ascona, Switzerland in June 1999. The 33 revised full papers presented together with four invited contributions were carefully reviewed and selected from 64 papers submitted. The papers provide a wealth of new results for various graph classes, graph computations, graph algorithms and graph-theoretical applications in a variety of fields.

Maximal Planar Graph Theory And The Four Color Conjecture

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Author : Jin Xu
language : en
Publisher: Springer Nature
Release Date : 2025-05-23

Maximal Planar Graph Theory And The Four Color Conjecture written by Jin Xu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-23 with Computers categories.

This open access book integrates foundational principles with advanced methodologies concerning maximal planar graphs. It offers readers an exceptional examination of graph structures, chromatic polynomials, and the construction and proof techniques of the Four-Color Conjecture. It is tailored for researchers, educators, and students involved in graph theory, combinatorics, and computational mathematics. The book consists of nine meticulously developed chapters. It starts with fundamental concepts in graph theory and then advances to pioneering computational proofs and recursive formulas of the chromatic number related to maximal planar graphs. Notable features include comprehensive discharging techniques, innovative approaches for constructing graphs of various orders, and groundbreaking conjectures concerning tree-colorability and unique four-colorability. The concluding chapter introduces Kempe's changes, offering new insights into the dynamics of graph coloring. Whether you are an academic enhancing your theoretical knowledge or a student searching for clear explanations for complex concepts, this book provides essential tools for navigating and addressing some of the most intricate challenges in graph theory. Its rigorous analysis and computational techniques equip readers with the necessary skills to engage deeply with maximal planar graph problems, making it an indispensable resource for advancing research and practical applications. No prior knowledge is necessary; however, a foundational understanding of graph theory is advised. This opportunity presents a chance to explore innovative perspectives and methodologies that expand the horizons of mathematical inquiry and proof development.

Graph Theory And Additive Combinatorics

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Author : Yufei Zhao
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-31

Graph Theory And Additive Combinatorics written by Yufei Zhao and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-31 with Mathematics categories.

Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemerédi, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives. Topics discussed include the Turán problem, Szemerédi's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem. Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted. Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare. Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.

Graph Based Representations In Pattern Recognition

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Author : Edwin Hancock
language : en
Publisher: Springer
Release Date : 2003-01-01

Graph Based Representations In Pattern Recognition written by Edwin Hancock and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-01 with Computers categories.

The refereed proceedings of the 4th IAPR International Workshop on Graph-Based Representation in Pattern Recognition, GbRPR 2003, held in York, UK in June/July 2003. The 23 revised full papers presented were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on data structures and representation, segmentation, graph edit distance, graph matching, matrix methods, and graph clustering.

Precalculus With Calculus Previews Expanded Volume

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Author : Dennis G. Zill
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2009-01-03

Precalculus With Calculus Previews Expanded Volume written by Dennis G. Zill and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-03 with Mathematics categories.

Building off the success of Zill and Dewar's popular Precalculus with Calculus Previews, Fourth Edition, the new Expanded Volume includes all the outstanding features and learning tools found in the original text while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added three additional chapters making the text a clear choice for many mainstream courses. New chapters include: Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses.

Precalculus With Calculus Previews

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Author : Dennis Zill
language : en
Publisher: Jones & Bartlett Learning
Release Date : 2011-04-20

Precalculus With Calculus Previews written by Dennis Zill and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-20 with Mathematics categories.

Building off the success of Zill and Dewar's popular Precalculus with Calculus Previews, Fourth Edition, the new Expanded Volume includes all the outstanding features and learning tools found in the original text while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added three additional chapters making the text a clear choice for many mainstream courses. New chapters include: Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses.

Precalculus With Calculus Previews

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Author : Dennis G. Zill
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2015-11-03

Precalculus With Calculus Previews written by Dennis G. Zill and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-03 with Business & Economics categories.

Building off the success of Zill and Dewar's popular Essentials version, the new Sixth Edition of Precalculus with Calculus Previews continues to include all of the outstanding features and learning tools found in the original text while incorporating additional topics of coverage that some courses may require. With a continued effort to keep the text complete, yet concise, the authors have included four additional chapters making the text a clear choice for many mainstream courses. Additional chapters include a new chapter on Polar Coordinates, as well as Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series.