Sets Graphs And Numbers

Author : Ervin Gyori,Gyula O.H. Katona,László Lovász
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 54,9 Mb
Release : 2010-10-02
Category : Mathematics
ISBN : 9783540324393

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More Sets, Graphs and Numbers by Ervin Gyori,Gyula O.H. Katona,László Lovász Pdf

This volume honours the eminent mathematicians Vera Sos and Andras Hajnal. The book includes survey articles reviewing classical theorems, as well as new, state-of-the-art results. Also presented are cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers are sure to inspire further research.

Author : Vera T. Sós,A. Hajnal
Publisher : North Holland
Page : 760 pages
File Size : 54,9 Mb
Release : 1992
Category : Mathematics
ISBN : UOM:39015029448142

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Sets, Graphs and Numbers by Vera T. Sós,A. Hajnal Pdf

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 51,6 Mb
Release : 2018-07-30
Category : Electronic
ISBN : 1724572636

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Discrete Mathematics by Oscar Levin Pdf

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.

Author : Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu
Publisher : Springer
Page : 275 pages
File Size : 47,8 Mb
Release : 2017-05-11
Category : Computers
ISBN : 9783319549811

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On Sets and Graphs by Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu Pdf

This treatise presents an integrated perspective on the interplay of set theory and graph theory, providing an extensive selection of examples that highlight how methods from one theory can be used to better solve problems originated in the other. Features: explores the interrelationships between sets and graphs and their applications to finite combinatorics; introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a discussion on set universes; explains how sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates when it is convenient to represent sets by graphs, covering counting and encoding problems, the random generation of sets, and the analysis of infinite sets; presents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant; contains numerous exercises, examples, definitions, problems and insight panels.

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 46,7 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

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.

Author : Marcus Schaefer
Publisher : CRC Press
Page : 377 pages
File Size : 41,5 Mb
Release : 2018-01-02
Category : Mathematics
ISBN : 9781498750509

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Crossing Numbers of Graphs by Marcus Schaefer Pdf

Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections. The field has matured into a large body of work, which includes identifiable core results and techniques. The book presents a wide variety of ideas and techniques in topological graph theory, discrete geometry, and computer science. The first part of the text deals with traditional crossing number, crossing number values, crossing lemma, related parameters, computational complexity, and algorithms. The second part includes the rich history of alternative crossing numbers, the rectilinear crossing number, the pair crossing number, and the independent odd crossing number.It also includes applications of the crossing number outside topological graph theory. Aimed at graduate students and professionals in both mathematics and computer science The first book of its kind devoted to the topic Authored by a noted authority in crossing numbers

Author : Alan Frieze,Michał Karoński
Publisher : Cambridge University Press
Page : 483 pages
File Size : 54,8 Mb
Release : 2016
Category : Mathematics
ISBN : 9781107118508

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Introduction to Random Graphs by Alan Frieze,Michał Karoński Pdf

The text covers random graphs from the basic to the advanced, including numerous exercises and recommendations for further reading.

Author : Laszlo Lovasz
Publisher : SIAM
Page : 95 pages
File Size : 45,9 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 9780898712032

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An Algorithmic Theory of Numbers, Graphs and Convexity by Laszlo Lovasz Pdf

Studies two algorithms in detail: the ellipsoid method and the simultaneous diophantine approximation method.

Author : C. D. Wensley
Publisher : Cambridge University Press
Page : 382 pages
File Size : 47,9 Mb
Release : 2003-07-24
Category : Mathematics
ISBN : 0521540127

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Surveys in Combinatorics 2003 by C. D. Wensley Pdf

The British Combinatorial Conference is held every two years and is a key event for mathematicians worldwide working in combinatorics. In June 2003 the conference was held at the University of Wales, Bangor. The papers contained here are surveys contributed by the invited speakers and are of the high quality that befits the event. There is also a tribute to Bill Tutte who had a long-standing association with the BCC. The papers cover topics currently attracting significant research interest as well as some less traditional areas such as the combinatorics of protecting digital content. They will form an excellent resource for established researchers as well as graduate students who will find much here to inspire future work.

Author : Teresa W. Haynes,Stephen Hedetniemi,Peter Slater
Publisher : CRC Press
Page : 465 pages
File Size : 55,7 Mb
Release : 2013-12-16
Category : Mathematics
ISBN : 9781482246582

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Fundamentals of Domination in Graphs by Teresa W. Haynes,Stephen Hedetniemi,Peter Slater Pdf

"Provides the first comprehensive treatment of theoretical, algorithmic, and application aspects of domination in graphs-discussing fundamental results and major research accomplishments in an easy-to-understand style. Includes chapters on domination algorithms and NP-completeness as well as frameworks for domination."

Author : Erhard Godehardt
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 55,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783322963109

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Graphs as Structural Models by Erhard Godehardt Pdf

The advent of the high-speed computer with its enormous storage capabilities enabled statisticians as well as researchers from the different topics of life sciences to apply mul tivariate statistical procedures to large data sets to explore their structures. More and more, methods of graphical representation and data analysis are used for investigations. These methods belong to a topic of growing popUlarity, known as "exploratory data analysis" or EDA. In many applications, there is reason to believe that a set of objects can be clus tered into subgroups that differ in meaningful ways. Extensive data sets, for example, are stored in clinical cancer registers. In large data sets like these, nobody would ex pect the objects to be homogeneous. The most commonly used terms for the class of procedures that seek to separate the component data into groups are "cluster analysis" or "numerical taxonomy". The origins of cluster analysis can be found in biology and anthropology at the beginning of the century. The first systematic investigations in cluster analysis are those of K. Pearson in 1894. The search for classifications or ty pologies of objects or persons, however, is indigenous not only to biology but to a wide variety of disciplines. Thus, in recent years, a growing interest in classification and related areas has taken place. Today, we see applications of cluster analysis not only to. biology but also to such diverse areas as psychology, regional analysis, marketing research, chemistry, archaeology and medicine.

Author : Akbar Ali,Gary Chartrand,Ping Zhang
Publisher : Springer Nature
Page : 109 pages
File Size : 44,8 Mb
Release : 2021-05-20
Category : Mathematics
ISBN : 9783030679934

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Irregularity in Graphs by Akbar Ali,Gary Chartrand,Ping Zhang Pdf

Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs. In the 130 years since then, regular graphs have been a common and popular area of study. While regular graphs are typically considered to be graphs whose vertices all have the same degree, a more general interpretation is that of graphs possessing some common characteristic throughout their structure. During the past several decades, however, there has been some increased interest in investigating graphs possessing a property that is, in a sense, opposite to regularity. It is this topic with which this book deals, giving rise to a study of what might be called irregularity in graphs. Here, various irregularity concepts dealing with several topics in graph theory are described, such as degrees of vertices, graph labelings, weightings, colorings, graph structures, Eulerian and Hamiltonian properties, graph decompositions, and Ramsey-type problems.

Author : Mark R. Budden
Publisher : Springer Nature
Page : 102 pages
File Size : 53,9 Mb
Release : 2023-05-13
Category : Mathematics
ISBN : 9783031299810

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Star-Critical Ramsey Numbers for Graphs by Mark R. Budden Pdf

This text is a comprehensive survey of the literature surrounding star-critical Ramsey numbers. First defined by Jonelle Hook in her 2010 dissertation, these numbers aim to measure the sharpness of the corresponding Ramsey numbers by determining the minimum number of edges needed to be added to a critical graph for the Ramsey property to hold. Despite being in its infancy, the topic has gained significant attention among Ramsey theorists. This work provides researchers and students with a resource for studying known results and their complete proofs. It covers typical results, including multicolor star-critical Ramsey numbers for complete graphs, trees, cycles, wheels, and n-good graphs, among others. The proofs are streamlined and, in some cases, simplified, with a few new results included. The book also explores the connection between star-critical Ramsey numbers and deleted edge numbers, which focus on destroying the Ramsey property by removing edges. The book concludes with open problems and conjectures for researchers to consider, making it a valuable resource for those studying the field of star-critical Ramsey numbers.

Author : Ismael González Yero
Publisher : MDPI
Page : 146 pages
File Size : 51,5 Mb
Release : 2020-11-18
Category : Mathematics
ISBN : 9783039435159

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Distances and Domination in Graphs by Ismael González Yero Pdf

This book presents a compendium of the 10 articles published in the recent Special Issue “Distance and Domination in Graphs”. The works appearing herein deal with several topics on graph theory that relate to the metric and dominating properties of graphs. The topics of the gathered publications deal with some new open lines of investigations that cover not only graphs, but also digraphs. Different variations in dominating sets or resolving sets are appearing, and a review on some networks’ curvatures is also present.

Author : S. Arumugam,B. D. Acharya,S. B. Rao
Publisher : Alpha Science Int'l Ltd.
Page : 204 pages
File Size : 49,9 Mb
Release : 2005
Category : Algorithms
ISBN : 8173196125

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Graphs, Combinatorics, Algorithms and Applications by S. Arumugam,B. D. Acharya,S. B. Rao Pdf

Graphs, Combinatorics, Algorithms and Applications: The research papers contributed by leading experts in their respective field discusses current areas of research in graph theory such as: Graphoidal covers Hyper graphs Domination in graph Signed graphs Graph labelings and Theoretical computer science This volume will serve as an excellent reference for experts and research scholars working in Graph Theory and related topics.