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CATBox [recurso electrónico] : An Interactive Course in Combinatorial Optimization / by Winfried Hochstättler, Alexander Schliep.

Por: Hochstättler, Winfried [author.]Colaborador(es): Schliep, Alexander [author.] | SpringerLink (Online service)Tipo de material: Texto

TextoEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: XII, 190p. 36 illus. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642038228Tema(s): Mathematics | Computational complexity | Combinatorics | Mathematical optimization | Operations research | Economics, Mathematical | Mathematics | Combinatorics | Optimization | Operations Research, Mathematical Programming | Discrete Mathematics in Computer Science | Game Theory/Mathematical MethodsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 511.6 Clasificación LoC:QA164-167.2Recursos en línea: Libro electrónico Texto

Contenidos:

Discrete Problems from Applications -- Basics, Notation and Data Structures -- Minimum Spanning Trees -- Linear Programming Duality -- Shortest Paths -- Maximal Flows -- Minimum-Cost Flows -- Matching -- Weighted Matching.

En: Springer eBooksResumen: Graph algorithms are easy to visualize and indeed there already exists a variety of packages and programs to animate the dynamics when solving problems from graph theory. Still, and somewhat surprisingly, it can be difficult to understand the ideas behind the algorithm from the dynamic display alone. CATBox consists of a software system for animating graph algorithms and a course book which we developed simultaneously. The software system presents both the algorithm and the graph and puts the user always in control of the actual code that is executed. He or she can set breakpoints, proceed in single steps and trace into subroutines. The graph, and additional auxiliary graphs like residual networks, are displayed and provide visual feedback. The course book, intended for readers at advanced undergraduate or graduate level, introduces the ideas and discusses the mathematical background necessary for understanding and verifying the correctness of the algorithms and their complexity. Computer exercises and examples replace the usual static pictures of algorithm dynamics. For this volume we have chosen solely algorithms for classical problems from combinatorial optimization, such as minimum spanning trees, shortest paths, maximum flows, minimum cost flows as well as weighted and unweighted matchings both for bipartite and non-bipartite graphs. We consider non-bipartite weighted matching, in particular in the geometrical case, a highlight of combinatorial optimization. In order to enable the reader to fully enjoy the beauty of the primal-dual solution algorithm for weighted matching, we present all mathematical material not only from the point of view of graph theory, but also with an emphasis on linear programming and its duality. This yields insightful and aesthetically pleasing pictures for matchings, but also for minimum spanning trees. You can find more information at http://schliep.org/CATBox/.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QA164 -167.2 (Browse shelf(Abre debajo))	1	No para préstamo		373587-2001

Graph algorithms are easy to visualize and indeed there already exists a variety of packages and programs to animate the dynamics when solving problems from graph theory. Still, and somewhat surprisingly, it can be difficult to understand the ideas behind the algorithm from the dynamic display alone. CATBox consists of a software system for animating graph algorithms and a course book which we developed simultaneously. The software system presents both the algorithm and the graph and puts the user always in control of the actual code that is executed. He or she can set breakpoints, proceed in single steps and trace into subroutines. The graph, and additional auxiliary graphs like residual networks, are displayed and provide visual feedback. The course book, intended for readers at advanced undergraduate or graduate level, introduces the ideas and discusses the mathematical background necessary for understanding and verifying the correctness of the algorithms and their complexity. Computer exercises and examples replace the usual static pictures of algorithm dynamics. For this volume we have chosen solely algorithms for classical problems from combinatorial optimization, such as minimum spanning trees, shortest paths, maximum flows, minimum cost flows as well as weighted and unweighted matchings both for bipartite and non-bipartite graphs. We consider non-bipartite weighted matching, in particular in the geometrical case, a highlight of combinatorial optimization. In order to enable the reader to fully enjoy the beauty of the primal-dual solution algorithm for weighted matching, we present all mathematical material not only from the point of view of graph theory, but also with an emphasis on linear programming and its duality. This yields insightful and aesthetically pleasing pictures for matchings, but also for minimum spanning trees. You can find more information at http://schliep.org/CATBox/.