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Graph Theory
Data: 2011-09-23, Autor: Reinhard Diestel - Springer, 2005, Dział: Grafy i sieci
The third edition of this standard textbook of modern graph theory has been carefully revised, updated, and substantially extended. Covering all its major recent developments it can be used both as a reliable textbook for an introductory course and as a graduate text: on each topic it covers all the basic material in full detail, and adds one or two deeper results (again with detailed proofs) to illustrate the more advanced methods of that field.
WięcejFractional Graph Theory: A Rational Approach to the Theory of Graphs
Data: 2011-09-23, Autor: Daniel Ullman, Edward Scheinerman - Wiley, 2008, Dział: Grafy i sieci
The vast majority of concepts in graph theory are whole-number based. Invariants from chromatic number to arboricity only take on integer values. In this book the authors explore generalizations of core graph theory notions by allowing real values to substitute where normally only integers would be permitted. The aim is to prove "fractional analogues" of the theorems of traditional graph theory.
WięcejDigraphs: Theory, Algorithms and Applications
Data: 2011-09-23, Autor: Jorgen Bang-Jensen, Gregory Gutin - Springer, 2002, Dział: Grafy i sieci
The study of directed graphs has developed enormously over recent decades, yet no book covers more than a tiny fraction of the results from more than 3000 research articles on the topic. Digraphs is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, including detailed proofs of many important results, the authors present a number of algorithms and applications. The applications of digraphs and their generalizations include among other things recent developments in the Travelling Salesman Problem, genetics and network connectivity. More than 700 exercises and 180 figures will help readers to study the topic while open problems and conjectures will inspire further research. This book will be essential reading and reference for all graduate students, researchers and professionals in mathematics, operational research, computer science and other areas who are interested in graph theory and its applications.
WięcejAlgorithmic Graph Theory
Data: 2011-09-23, Autor: David Joyner, Minh Van Nguyen, Nathann Cohen - Google Code, 2010, Dział: Grafy i sieciThis is an introductory book on algorithmic graph theory. Theory and algorithms are illustrated using the Sage open source mathematics software. Contents: Introduction to Graph Theory; Graph Algorithms; Trees and Forests; Distance and Connectivity; Optimal Graph Traversals; Planar Graphs; Graph Coloring; Network Flows; Random Graphs; Graph Problems and Their LP Formulations.
WięcejArt of Programming Contest
Data: 2011-09-22, Autor: Ahmed Shamsul Arefin - Gyankosh Prokashoni, 2006, Dział: Grafy i sieci
This book is designed to serve as a textbook for an algorithm course focusing on programming as well as a programming course focusing on algorithms. The book is specially designed to train students to participate in competitions, especially the ACM International Collegiate Programming Contest.
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