Toggle navigation FreeTechBooks. Graph Theory The study of graphs, mathematical structures used to model pairwise relations between objects from a certain collection.

## A Java Library of Graph Algorithms and Optimization

All categories Follow Books under this sub-category 15 books. It covers mathematical reasoning, basic proof techniques, sets, functions, relations, basic graph theory, asymptotic notation, and countability. Theory and algorithms are illustrated using the Sage open source mathematics software. Applied Combinatorics Post date : 28 Apr This textbook covers the fundamental enumeration techniques permutations, combinations, subsets, pigeon hole principle , recursion and mathematical induction, more advanced enumeration techniques, discrete structures, and discrete optimization.

Digraphs Theory, Algorithms and Applications Post date : 23 Apr Presents a unified and comprehensive survey of directed graphs. Covers theoretical and practical aspects, with algorithms, proofs, and applications of digraphs. Includes more than exercises and figures which further clarify topics. Explorations in Algebraic Graph Theory with Sage Post date : 03 May This book provides a useful range of examples showing how Sage can be used in graph theory and combinatorics.

## The Math Forum - Math Library - Graph Theory

They contain an introduction to basic concepts and results in graph theory, with a special emphasis put on the network-theoretic circuit-cut dualism. Graph Theory Lessons Post date : 26 Aug The entire 23 lessons of Graph Theory that utilizes a java software as an investigative tool. Stay on CRCPress. Exclusive web offer for individuals on all book. Preview this Book.

Add to Wish List. Close Preview. Toggle navigation Additional Book Information. Description Table of Contents Additional Resources. Summary Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph Algorithms and Optimization provides the source code for a library of Java programs that can be used to solve problems in graph theory and combinatorial optimization.

### New Books for 12/15/2006

Self-contained and largely independent, each topic starts with a problem description and an outline of the solution procedure, followed by its parameter list specification, source code, and a test example that illustrates the usage of the code. The book begins with a chapter on random graph generation that examines bipartite, regular, connected, Hamilton, and isomorphic graphs as well as spanning, labeled, and unlabeled rooted trees.

Click inside the door and you will get the Algorithms Courses on the WWW - Kirk Pruhs; University of Pittsburgh An extensive list of links to undergraduate and introductory graduate algorithms courses; advanced or specialized courses; and other related resources on the Web. Algorithms - National University of Ireland Web interfaces that provide steps for moving the disks of the Towers of Hanoi, calculate the Euclidean greatest common divisor GCD algorithm using recursion, and compute maximum profit from the knapsack problem using dynamic programming.

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Also, generate Algorithms Project - Institut National de Recherche en Informatique et en Automatique INRIA A small international group of people with interests in design and analysis of algorithms, computer algebra, combinatorial analysis and asymptotics. It aims at general methods in combinatorics and analysis, with which classes of problems can be treated The site contains a comprehensive list of his papers, most of which may be downloaded in LaTex, PDF, or PostScript form if they are not available as plain He also provides tutorials on using Flash to simulate gravity, easing, elasticity, perspective, 3D rotation, and "the various little creatures BorschtWithAnna - Anna Blinstein Blog by a Bay area middle and upper school mathematics teacher "working on problem-based inquiry, collaborative learning environments, interdisciplinary connections, and rigorous, deep, mathematical understanding.

Reingold A book about the algorithms used to calculate different calendars Gregorian, Julian, Mayan, Hebrew, Persian, and more. The preface, table of contents, index, and a sample chapter are available in PDF and PostScript formats. Other book resources include CATS: Combinatorial Algorithms Test Sets - ACM Journal of Experimental Algorithmics JEA Mission: to facilitate experimental research by standardizing common benchmarks, providing a mechanism for their evolution, making them easily accessible and usable, and identifying significant open questions in the design of good test sets and the assessment Center for Technology and Teacher Education - Curry School of Education, University of Virginia An interdisciplinary group that develops materials to prepare teachers to use technology to enhance and extend students' learning of mathematics.

Coffee Hour Problem of the Week - Matthew McMullen Classic and "found" problems, as well as original challenges, in number theory, logical reasoning, statistics, calculus, geometry, and algebra. Topics covered include classical and algebraic graph theory, extremal set theory, matroid theory, probabilistic methods and random combinatorial Complexification - Jared Tarbell View interactive, open source Java applets of fractals and other mathematically significant graphics.

Computation, Computers, and Math Center - Sandia National Laboratories Research and development in support of a wide variety of programs for the Department of Energy and other customers.

A major part of the center works on massively parallel computing, and is located in the Massively Parallel Computing Research Laboratory Transition table contains rules. The program computes a Fibonacci number. A number 'n' is represented by n 1-s. Input: number 'n'. Output: Fibonacci n. Input: Tape 0 - weights, Tape 1 - empty, Tape 2 - empty.

Output: Tape 0 - weights and its Huffman codes, Tape 1 - empty, Tape 2 - empty. The Counterfeit Coin - Ivars Peterson MathTrek The classic puzzle of the counterfeit coin has long served as a stiff test of one's reasoning power and ingenuity.