Book Description
Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.
Author : Dragoš Cvetkovic
Publisher : Cambridge University Press
Page : 316 pages
File Size : 21,43 MB
Release : 2004-07-22
Category : Mathematics
ISBN : 9780521836630
Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.
Author : Lowell W. Beineke
Publisher : Springer Nature
Page : 301 pages
File Size : 46,71 MB
Release : 2021-10-29
Category : Mathematics
ISBN : 303081386X
In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs. Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields.
Author : William L. William L. Hamilton
Publisher : Springer Nature
Page : 141 pages
File Size : 19,62 MB
Release : 2022-06-01
Category : Computers
ISBN : 3031015886
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.
Author : Chris Godsil
Publisher : Springer Science & Business Media
Page : 453 pages
File Size : 14,64 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 1461301637
This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.
Author : Yuzuru Tanaka
Publisher : Springer
Page : 150 pages
File Size : 21,37 MB
Release : 2013-07-18
Category : Computers
ISBN : 3642401406
This book constitutes the refereed post-proceedings of the 7th International Workshop on Information Search, Integration and Personalization, ISIP 2012, held in Sapporo, Japan, in October 2012. The 14 revised full papers presented were carefully reviewed and selected from 29 presentations. The papers are organized in topical sections on knowledge federation and integration; social system support and visualization; social information search and discovery.
Author : Siemion Fajtlowicz
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 27,95 MB
Release : 2005
Category : Mathematics
ISBN : 9780821837610
In this collection from the working group meeting of November 2001, contributors formulate problems, share ideas and approaches, and plan an agenda for future interactions. Their fields included theoretical and applied computer science, statistics, discrete and non-discrete mathematics, chemistry and information science, and the topics centered on
Author : Carla Gomes
Publisher : Springer
Page : 403 pages
File Size : 26,85 MB
Release : 2013-04-11
Category : Computers
ISBN : 3642381715
This volume is a compilation of the research program of the 10th International Conference on the Integration of Artificial Intelligence (AI) and Operations Research (OR) Techniques in Constraint Programming, CPAIOR 2013, held at Yorktown Heights, NY, USA, in May 2013. This volume contains 20 full papers and 11 short papers that were carefully reviewed and selected from 71 submissions. The papers focus on new techniques or applications in the intersection of constraint programming (CP), artificial intelligence (AI) and operations research (OR).
Author : Blair Wheaton
Publisher : SAGE Publications
Page : 796 pages
File Size : 50,75 MB
Release : 2021-01-22
Category : Social Science
ISBN : 1506342116
This comprehensive text introduces regression, the general linear model, structural equation modeling, the hierarchical linear model, growth curve models, panel data, and event history models, and includes discussion of published implementations of each technique showing how it was used to address substantive and interesting research questions. It takes a step-by-step approach in the presentation of each topic, using mathematical derivations where necessary, but primarily emphasizing how the methods involved can be implemented, are used in addressing representative substantive problems than span a number of disciplines, and can be interpreted in words. The book demonstrates the analyses in STATA and SAS. Generalizing the Regression Model provides students with a bridge from the classroom to actual research practice and application.
Author : Erich Prisner
Publisher : CRC Press
Page : 252 pages
File Size : 46,82 MB
Release : 1995-11-22
Category : Mathematics
ISBN : 9780582286962
Study of "graph operators" or "graph-valued functions" such as the line graph, the clique graph, the complement, and powers, raises several immediate questions: Which graphs are fixed under the operator? Which graphs appear as images of graphs? What happens if the operator is iterated? Over the last 30 years these questions have been answered and methods developed for particular operators in literally hundreds of papers on the subject. Nowhere, however, could one find a comprehensive treatment-a unification of terminology, questions, and methods. Graph Dynamics provides that comprehensive treatment. Its purpose is threefold: it serves as an introductory textbook on the topic, offers an encyclopedic survey of the literature, and reports recent research-both new tools and results on concrete operators. Part I explicitly presents graph dynamics general theory, stating general principles illustrated by application to graph operators. Part 2 addresses the operators themselves. It lists all known graph operators grouped together in families and recounts, with complete references, all that is known about the dynamical behavior of these concrete operators. Graph Dynamics is the book you need if you are looking for information on a particular operator, need a text for advanced students, or want to review collected research results presented with a common terminology. It is clearly an essential resource for anyone working in or studying algebra, combinatorics, or graph theory.
Author : Rabe v. Randow
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 46,92 MB
Release : 2012-12-06
Category : Business & Economics
ISBN : 3642516548
The fields of integer programming and combinatorial optimization continue to be areas of great vitality, with an ever increasing number of publications and journals appearing. A classified bibliography thus continues to be necessary and useful today, even more so than it did when the project, of which this is the fifth volume, was started in 1970 in the Institut fur Okonometrie und Operations Research of the University of Bonn. The pioneering first volume was compiled by Claus Kastning during the years 1970 - 1975 and appeared in 1976 as Volume 128 of the series Lecture Notes in Economics and Mathematical Systems published by the Springer Verlag. Work on the project was continued by Dirk Hausmann, Reinhardt Euler, and Rabe von Randow, and resulted in the publication of the second, third, and fourth volumes in 1978, 1982, and 1985 (Volumes 160, 197, and 243 of the above series). The present book constitutes the fifth volume of the bibliography and covers the period from autumn 1984 to the end of 1987. It contains 5864 new publications by 4480 authors and was compiled by Rabe von Randow. Its form is practically identical to that of the first four volumes, some additions having been made to the subject list.