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Auteur Neil WHITE |
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Combinatorial geometries / Neil WHITE (Cop. 1987)
Titre : Combinatorial geometries Type de document : texte imprimé Auteurs : Neil WHITE, Editeur scientifique Editeur : Cambridge : Cambridge University Press Année de publication : Cop. 1987 Collection : Encyclopedia of mathematics and its applications num. 29 Importance : XII-212 p. ISBN/ISSN/EAN : 978-0-521-33339-9 Langues : Anglais Mots-clés : matroïde géométrie combinatoire Résumé : This book is a continuation of Theory of Matroids (also edited by Neil White), and again consists of a series of related surveys that have been contributed by authorities in the area. The volume begins with three chapters on coordinatisations, followed by one on matching theory. The next two deal with transversal and simplicial matroids. These are followed by studies of the important matroid invariants. The final chapter deals with matroids in combinatorial optimisation, a topic of much current interest. The whole volume has been carefully edited to ensure a uniform style and notation throughout, and to make a work that can be used as a reference or as an introductory textbook for graduate students or non-specialists. Note de contenu : index, références, exercices Combinatorial geometries [texte imprimé] / Neil WHITE, Editeur scientifique . - Cambridge : Cambridge University Press, Cop. 1987 . - XII-212 p.. - (Encyclopedia of mathematics and its applications; 29) .
ISBN : 978-0-521-33339-9
Langues : Anglais
Mots-clés : matroïde géométrie combinatoire Résumé : This book is a continuation of Theory of Matroids (also edited by Neil White), and again consists of a series of related surveys that have been contributed by authorities in the area. The volume begins with three chapters on coordinatisations, followed by one on matching theory. The next two deal with transversal and simplicial matroids. These are followed by studies of the important matroid invariants. The final chapter deals with matroids in combinatorial optimisation, a topic of much current interest. The whole volume has been carefully edited to ensure a uniform style and notation throughout, and to make a work that can be used as a reference or as an introductory textbook for graduate students or non-specialists. Note de contenu : index, références, exercices Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21679 WHI/05/10089 Livre Recherche Salle Disponible Coxeter matroids / Alexandre V. BOROVIK (Cop. 2003)
Titre : Coxeter matroids Type de document : texte imprimé Auteurs : Alexandre V. BOROVIK, Auteur ; I. M. GELFAND, Auteur ; Neil WHITE, Auteur Editeur : Boston : Birkhäuser Année de publication : Cop. 2003 Collection : Progress in mathematics, ISSN 0743-1643 0079-6733 num. 216 Importance : XXII-264p. ISBN/ISSN/EAN : 978-0-8176-3764-4 Langues : Anglais Catégories : 05B35
20F55
52B15Mots-clés : matroïde Résumé : Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained text provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group. Note de contenu : index, références Coxeter matroids [texte imprimé] / Alexandre V. BOROVIK, Auteur ; I. M. GELFAND, Auteur ; Neil WHITE, Auteur . - Boston : Birkhäuser, Cop. 2003 . - XXII-264p.. - (Progress in mathematics, ISSN 0743-1643 0079-6733; 216) .
ISBN : 978-0-8176-3764-4
Langues : Anglais
Catégories : 05B35
20F55
52B15Mots-clés : matroïde Résumé : Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry. This largely self-contained text provides an intuitive and interdisciplinary treatment of Coxeter matroids, a new and beautiful generalization of matroids which is based on a finite Coxeter group. Note de contenu : index, références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21721 BOR/05/10131 Livre Recherche Salle Disponible Matroids applications / Neil WHITE (Cop. 1992)
Titre : Matroids applications Type de document : texte imprimé Auteurs : Neil WHITE, Editeur scientifique Editeur : Cambridge : Cambridge University Press Année de publication : Cop. 1992 Collection : Encyclopedia of mathematics and its applications num. 40 Importance : XII-363 p. ISBN/ISSN/EAN : 978-0-521-11967-2 Note générale : Autre tirage: 2009 Langues : Anglais Mots-clés : matroïde géométrie combinatoire Résumé : This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm). As with its predecessors, the contributors to this volume have written their articles to form a cohesive account so that the result is a volume which will be a valuable reference for research workers. Note de contenu : index, références Matroids applications [texte imprimé] / Neil WHITE, Editeur scientifique . - Cambridge : Cambridge University Press, Cop. 1992 . - XII-363 p.. - (Encyclopedia of mathematics and its applications; 40) .
ISBN : 978-0-521-11967-2
Autre tirage: 2009
Langues : Anglais
Mots-clés : matroïde géométrie combinatoire Résumé : This volume, the third in a sequence that began with The Theory of Matroids and Combinatorial Geometries, concentrates on the applications of matroid theory to a variety of topics from engineering (rigidity and scene analysis), combinatorics (graphs, lattices, codes and designs), topology and operations research (the greedy algorithm). As with its predecessors, the contributors to this volume have written their articles to form a cohesive account so that the result is a volume which will be a valuable reference for research workers. Note de contenu : index, références Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21680 WHI/05/10091 Livre Recherche Salle Disponible Theory of matroids / Neil WHITE (Cop. 1986)
Titre : Theory of matroids Type de document : texte imprimé Auteurs : Neil WHITE, Editeur scientifique Editeur : Cambridge : Cambridge University Press Année de publication : Cop. 1986 Collection : Encyclopedia of mathematics and its applications num. 26 Importance : X-316 p. ISBN/ISSN/EAN : 978-0-521-09202-9 Note générale : Autre tirage: 2008 Langues : Anglais Mots-clés : matroïde corps finis Résumé : The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic. Note de contenu : index Theory of matroids [texte imprimé] / Neil WHITE, Editeur scientifique . - Cambridge : Cambridge University Press, Cop. 1986 . - X-316 p.. - (Encyclopedia of mathematics and its applications; 26) .
ISBN : 978-0-521-09202-9
Autre tirage: 2008
Langues : Anglais
Mots-clés : matroïde corps finis Résumé : The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Indeed, matroids are amazingly versatile and the approaches to the subject are varied and numerous. This book is a primer in the basic axioms and constructions of matroids. The contributions by various leaders in the field include chapters on axiom systems, lattices, basis exchange properties, orthogonality, graphs and networks, constructions, maps, semi-modular functions and an appendix on cryptomorphisms. The authors have concentrated on giving a lucid exposition of the individual topics; explanations of theorems are preferred to complete proofs and original work is thoroughly referenced. In addition, exercises are included for each topic. Note de contenu : index Exemplaires
Code-barres Cote Support Localisation Section Disponibilité 21682 WHI/05/10093 Livre Recherche Salle Disponible