Download or read book GRAPHICAL ENUMERATION AND THE POWER GROUP written by Edgar M. Palmer and published by . This book was released on 1965 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Graphical Enumeration written by Frank Harary and published by Elsevier. This book was released on 2014-05-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphical Enumeration deals with the enumeration of various kinds of graphs. Topics covered range from labeled enumeration and George Pólya's theorem to rooted and unrooted trees, graphs and digraphs, and power group enumeration. Superposition, blocks, and asymptotics are also discussed. A number of unsolved enumeration problems are presented. Comprised of 10 chapters, this book begins with an overview of labeled graphs, followed by a description of the basic enumeration theorem of Pólya. The next three chapters count an enormous variety of trees, graphs, and digraphs. The Power Group Enumeration Theorem is then described together with some of its applications, including the enumeration of self-complementary graphs and digraphs and finite automata. Two other chapters focus on the counting of superposition and blocks, while another chapter is devoted to asymptotic numbers that are developed for several different graphical structures. The book concludes with a comprehensive definitive list of unsolved graphical enumeration problems. This monograph will be of interest to both students and practitioners of mathematics.
Download or read book Combinatorial Enumeration of Groups Graphs and Chemical Compounds written by Georg Polya and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst
Download or read book Mathematical Foundations of Scientific Visualization Computer Graphics and Massive Data Exploration written by Torsten Möller and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of visualization is the accurate, interactive, and intuitive presentation of data. Complex numerical simulations, high-resolution imaging devices and incre- ingly common environment-embedded sensors are the primary generators of m- sive data sets. Being able to derive scienti?c insight from data increasingly depends on having mathematical and perceptual models to provide the necessary foundation for effective data analysis and comprehension. The peer-reviewed state-of-the-art research papers included in this book focus on continuous data models, such as is common in medical imaging or computational modeling. From the viewpoint of a visualization scientist, we typically collaborate with an application scientist or engineer who needs to visually explore or study an object which is given by a set of sample points, which originally may or may not have been connected by a mesh. At some point, one generally employs low-order piecewise polynomial approximationsof an object, using one or several dependent functions. In order to have an understanding of a higher-dimensional geometrical “object” or function, ef?cient algorithms supporting real-time analysis and manipulation (- tation, zooming) are needed. Often, the data represents 3D or even time-varying 3D phenomena (such as medical data), and the access to different layers (slices) and structures (the underlying topology) comprising such data is needed.
Download or read book Advanced Combinatorics written by Louis Comtet and published by Springer Science & Business Media. This book was released on 1974-04-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notwithstanding its title, the reader will not find in this book a systematic account of this huge subject. Certain classical aspects have been passed by, and the true title ought to be "Various questions of elementary combina torial analysis". For instance, we only touch upon the subject of graphs and configurations, but there exists a very extensive and good literature on this subject. For this we refer the reader to the bibliography at the end of the volume. The true beginnings of combinatorial analysis (also called combina tory analysis) coincide with the beginnings of probability theory in the 17th century. For about two centuries it vanished as an autonomous sub ject. But the advance of statistics, with an ever-increasing demand for configurations as well as the advent and development of computers, have, beyond doubt, contributed to reinstating this subject after such a long period of negligence. For a long time the aim of combinatorial analysis was to count the different ways of arranging objects under given circumstances. Hence, many of the traditional problems of analysis or geometry which are con cerned at a certain moment with finite structures, have a combinatorial character. Today, combinatorial analysis is also relevant to problems of existence, estimation and structuration, like all other parts of mathema tics, but exclusively forjinite sets.
Download or read book A Seminar on Graph Theory written by Frank Harary and published by Courier Dover Publications. This book was released on 2015-05-18 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented in 1962–63 by experts at University College, London, these lectures offer a variety of perspectives on graph theory. Although the opening chapters form a coherent body of graph theoretic concepts, this volume is not a text on the subject but rather an introduction to the extensive literature of graph theory. The seminar's topics are geared toward advanced undergraduate students of mathematics. Lectures by this volume's editor, Frank Harary, include "Some Theorems and Concepts of Graph Theory," "Topological Concepts in Graph Theory," "Graphical Reconstruction," and other introductory talks. A series of invited lectures follows, featuring presentations by other authorities on the faculty of University College as well as visiting scholars. These include "Extremal Problems in Graph Theory" by Paul Erdös, "Complete Bipartite Graphs: Decomposition into Planar Subgraphs," by Lowell W. Beineke, "Graphs and Composite Games," by Cedric A. B. Smith, and several others.
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1966 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Random Walks of George Polya written by Gerald L. Alexanderson and published by Cambridge University Press. This book was released on 2000-04-27 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both a biography of Plya's life, and a review of his many mathematical achievements by today's experts.
Download or read book Combinatorial Methods in Discrete Mathematics written by Vladimir N. Sachkov and published by Cambridge University Press. This book was released on 1996-01-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using a unique, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on ones that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived.This is an important book, describing many ideas not previously available in English; the author has taken the chance to update the text and references where appropriate.
Download or read book Graph Theory on Demand Printing Of 02787 written by Frank Harary and published by CRC Press. This book was released on 2018-03-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: An effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or applications, which however are occaisionally mentioned.
Download or read book Spherical Astronomy and Space Dynamics written by and published by Krishna Prakashan Media. This book was released on with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Graph Theory Bibliography written by Gerald Berman and published by . This book was released on 1978 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of over 2100 references in applied graph theory complementing the collection of titles on graph theory in "Forward Citations in Graph Theory" (1975). An index of key words is included, as well as a table of forward citations for approximately half the papers.
Download or read book Graphical Enumeration written by Sean Thomas and published by . This book was released on 2006 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Forward Citations in Enumeration written by Gerald Berman and published by Computer Laboratory, Department of Combinatorics and Optimization, University of Waterloo, 1978 c1977.. This book was released on 1977 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Representations of Permutation Groups II written by A. Kerber and published by Springer. This book was released on 2006-11-15 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Combinatorics and Graph Theory written by John Harris and published by Springer Science & Business Media. This book was released on 2009-04-03 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
Download or read book Graph Theory and Theoretical Physics written by Frank Harary and published by . This book was released on 1967 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
