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  • 1
    Book
    Book
    Matroid applications / (1992)
    Cambridge [u.a.] :Cambridge Univ. Press,
    Details
    UID:
    almahu_BV004826363
    Format: XII, 363 S. : , graph. Darst.
    Edition: 1. publ.
    ISBN: 0-521-38165-7
    Series Statement: Encyclopedia of mathematics and its applications 40
    Subjects: Mathematics
    RVK:
    SK 890
    Keywords: Matroid ; Aufsatzsammlung ; Aufsatzsammlung ; Aufsatzsammlung
    URL: Inhaltstext
    URL: Inhaltsverzeichnis
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  • 2
    Online Resource
    Online Resource
    Theory of matroids / (1986)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almahu_9948233645202882
    Format: 1 online resource (xvii, 316 pages) : , digital, PDF file(s).
    ISBN: 9780511629563 (ebook)
    Series Statement: Encyclopedia of mathematics and its applications ; volume 26
    Content: 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: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
    Additional Edition: Print version: ISBN 9780521309370
    Language: English
    URL: https://doi.org/10.1017/CBO9780511629563
    URL: Volltext
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    Online Access
    HU Berlin
    FU Berlin
    UB Potsdam
  • 3
    Online Resource
    Online Resource
    Matroid applications / (1992)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almahu_9948233630002882
    Format: 1 online resource (xii, 363 pages) : , digital, PDF file(s).
    ISBN: 9780511662041 (ebook)
    Series Statement: Encyclopedia of mathematics and its applications ; volume 40
    Content: 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: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , Matroids and rigid structures / , Perfect matroid designs / , Infinite matroids / , Matroidal families of graphs / , Algebraic aspects of partition lattices / , The Tutte polynomial and its applications / , Homology and shellability of matroids and geometric lattices / , Introduction to greedoids /
    Additional Edition: Print version: ISBN 9780521381659
    Language: English
    Subjects: Mathematics
    RVK:
    SK 890
    Keywords: Aufsatzsammlung
    URL: https://doi.org/10.1017/CBO9780511662041
    URL: Volltext
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    HU Berlin
    FU Berlin
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  • 4
    Book
    Book
    Theory of matroids / (1986)
    Cambridge [u.a.] :Cambridge Univ. Press,
    Details
    UID:
    almahu_BV000389387
    Format: XVII, 316 S. : , graph. Darst.
    Edition: 1. publ.
    ISBN: 0-521-30937-9 , 978-0-521-30937-0 , 978-0-521-09202-9
    Series Statement: Encyclopedia of mathematics and its applications 26
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Language: English
    Subjects: Mathematics
    RVK:
    SK 890
    Keywords: Matroid ; Aufsatzsammlung ; Aufsatzsammlung ; Aufsatzsammlung
    Library Location Call Number Volume/Issue/Year Availability
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    Book
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  • 5
    Book
    Book
    Combinatorial geometries / (1987)
    Cambridge ; New York ; Port Chester ; Melbourne ; Sydney :Cambridge University Press,
    Details
    UID:
    almahu_BV000709732
    Format: xii, 212 Seiten : , Illustrationen.
    Edition: Frist published
    ISBN: 0-521-33339-3 , 978-1-107-32571-5
    Series Statement: Encyclopedia of mathematics and its applications Volume 29
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-107-32571-5
    Language: English
    Subjects: Mathematics
    RVK:
    SK 380
    RVK:
    SK 890
    Keywords: Kombinatorische Geometrie ; Matroid ; Aufsatzsammlung ; Aufsatzsammlung
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  • 6
    Online Resource
    Online Resource
    Combinatorial geometries / (1987)
    Cambridge :Cambridge University Press,
    Details
    UID:
    almahu_9948233644202882
    Format: 1 online resource (xii, 212 pages) : , digital, PDF file(s).
    ISBN: 9781107325715 (ebook)
    Series Statement: Encyclopedia of mathematics and its applications ; volume 29
    Content: 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: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
    Additional Edition: Print version: ISBN 9780521333399
    Language: English
    Subjects: Mathematics
    RVK:
    SK 380
    RVK:
    SK 890
    Keywords: Aufsatzsammlung
    URL: https://doi.org/10.1017/CBO9781107325715
    URL: Volltext
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    HU Berlin
    UB Potsdam
  • 7
    Book
    Book
    Combinatorial geometries (1987)
    Cambridge ; New York ; Port Chester ; Melbourne ; Sydney : Cambridge University Press
    Details
    UID:
    b3kat_BV000709732
    Format: xii, 212 Seiten , Illustrationen
    Edition: Frist published
    ISBN: 0521333393 , 9781107325715
    Series Statement: Encyclopedia of mathematics and its applications Volume 29
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-107-32571-5
    Language: English
    Subjects: Mathematics
    RVK:
    SK 380
    RVK:
    SK 890
    Keywords: Kombinatorische Geometrie ; Matroid ; Aufsatzsammlung
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  • 8
    Book
    Book
    Matroid applications (1992)
    Cambridge [u.a.] : Cambridge Univ. Press
    Details
    UID:
    b3kat_BV004826363
    Format: XII, 363 S. , graph. Darst.
    Edition: 1. publ.
    ISBN: 0521381657
    Series Statement: Encyclopedia of mathematics and its applications 40
    Language: Undetermined
    Subjects: Mathematics
    RVK:
    SK 890
    Keywords: Matroid ; Aufsatzsammlung
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    TU Berlin get availability status
  • 9
    Book
    Book
    Theory of matroids (1986)
    Cambridge [u.a.] : Cambridge Univ. Press
    Details
    UID:
    b3kat_BV000389387
    Format: XVII, 316 S. , graph. Darst.
    Edition: 1. publ.
    ISBN: 0521309379 , 9780521309370 , 9780521092029
    Series Statement: Encyclopedia of mathematics and its applications 26
    Note: Hier auch später erschienene, unveränderte Nachdrucke
    Language: English
    Subjects: Mathematics
    RVK:
    SK 890
    Keywords: Matroid ; Aufsatzsammlung
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    TU Berlin get availability status
  • 10
    Online Resource
    Online Resource
    Combinatorial geometries / (1987)
    Cambridge [Cambridgeshire] ; : Cambridge University Press,
    Details
    UID:
    edocfu_9959240276002883
    Format: 1 online resource (xii, 212 pages) : , digital, PDF file(s).
    ISBN: 1-139-88425-5 , 1-107-10255-3 , 1-107-08779-1 , 1-107-09999-4 , 1-107-09404-6 , 1-107-32571-4
    Series Statement: Encyclopedia of mathematics and its applications ;
    Content: 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: Title from publisher's bibliographic system (viewed on 05 Oct 2015). , Cover; Half Title; Title; Copyright; CONTRIBUTORS; SERIES EDITOR'S STATEMENT; PREFACE; 1 Coordinatizations; 1.1. Introduction and Basic Definitions; 1.2. Equivalence of Coordinatizations and Canonical Forms; 1.3. Matroid Operations; 1.4. Non-coordinatizable Geometries; 1.5. Necessary and Sufficient Conditions for Coordinatization; 1.6. Brackets; 1.7. Coordinatization over Algebraic Extensions; 1.8. Characteristic Sets; 1.9. Coordinatizations over Transcendental Extensions; 1.10. Algebraic Representation; Exercises; References; 2 Binary Matroids; 2.1. Definition and Basic Properties , 2.2. Characterizations of Binary Matroids2.3. Related Characterizations; 2.4. Spaces of Circuits of Binary Matroids; 2.5. Coordinatizing Matrices of Binary Matroids; 2.6. Special Classes of Binary Matroids; Graphic Matroids; 2.7. Appendix on Modular Pairs of Circuits in a Matroid; Exercises; References; 3 Unimodular Matroids; 3.1. Equivalent Conditions for Unimodularity; 3.2. Tutte's Homotopy Theorem and Excluded Minor Characterization; 3.3. Applications of unimodularity; Exercises; References; 4 Introduction to Matching Theory; 4.1. Matchings on Matroids; 4.2. Matching Matroids , 4.3. ApplicationsNotes; Exercises; References; 5 Transversal Matroids; 5.1. Introduction; 5.2. Presentations; 5.3. Duals of Transversal Matroids; 5.4. Other Properties and Generalizations; Notes; Exercises; References; 6 Simplicial Matroids; 6.1. Introduction; 6.2. Orthogonal Full Simplicial Matroids; 6.3. Binary and Unimodular Full Simplicial Geometries; 6.4. Uniquely Coordinatizable Full Simplicial Matroids; 6.5. Matroids on the Bases of Matroids; 6.6. Sperner's Lemma for Geometries; 6.7. Other Results; Exercises; References; 7 The Mobius Function and the Characteristic Polynomial , 7.1. The Mobius Function7.2. The characteristic Polynomial; 7.3. The beta Invariant; 7.4. Tutte-Grothendieck Invariance; 7.5. Examples; 7.6. The Critical Problem; Exercises; References; 8 Whitney Numbers; 8.1. Introduction; 8.2. The Characteristic and Rank Polynomials; 8.3. The Mobius Algebra; 8.4. The Whitney Numbers of the First Kind; 8.5. The Whitney Numbers of the Second Kind; 8.6. Comments; References; 9 Matroids in Combinatorial Optimization; 9.1. The Greedy Algorithm and Matroid Polyhedra; 9.2. Intersections and Unions of Matroids; 9.3. Integral Matroids; 9.4. Submodular Systems , 9.5. Submodular FlowsExercises; References; INDEX , English
    Additional Edition: ISBN 0-521-07036-8
    Additional Edition: ISBN 0-521-33339-3
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    FU Berlin
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