Lingua: Inglese
Editore: American Mathematical Society, 2023
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: Revaluation Books, Exeter, Regno Unito
EUR 78,77
Quantità: 2 disponibili
Aggiungi al carrelloPaperback. Condizione: Brand New. 79 pages. In Stock.
Lingua: Inglese
Editore: Cambridge University Press, 2016
ISBN 10: 1107086582 ISBN 13: 9781107086586
Da: California Books, Miami, FL, U.S.A.
EUR 97,42
Quantità: Più di 20 disponibili
Aggiungi al carrelloCondizione: New.
Lingua: Inglese
Editore: American Mathematical Society, US, 2023
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: Rarewaves.com USA, London, LONDO, Regno Unito
EUR 100,75
Quantità: 1 disponibili
Aggiungi al carrelloPaperback. Condizione: New. Leclerc and Zelevinsky, motivated by the study of quasi-commuting quantum flag minors, introduced the notions of strongly separated and weakly separated collections. These notions are closely related to the theory of cluster algebras, to the combinatorics of the double Bruhat cells, and to the totally positive Grassmannian.A key feature, called the purity phenomenon, is that every maximal by inclusion strongly (resp., weakly) separated collection of subsets in [n] has the same cardinality.In this paper, we extend these notions and define M-separated collections for any oriented matroid M.We show that maximal by size M-separated collections are in bijection with fine zonotopal tilings (if M is a realizable oriented matroid), or with one-element liftings of M in general position (for an arbitrary oriented matroid).We introduce the class of pure oriented matroids for which the purity phenomenon holds: an oriented matroid M is pure if M-separated collections form a pure simplicial complex, i.e., any maximal by inclusion M-separated collection is also maximal by size.We pay closer attention to several special classes of oriented matroids: oriented matroids of rank 3, graphical oriented matroids, and uniform oriented matroids. We classify pure oriented matroids in these cases. An oriented matroid of rank 3 is pure if and only if it is a positroid (up to reorienting and relabeling its ground set). A graphical oriented matroid is pure if and only if its underlying graph is an outerplanar graph, that is, a subgraph of a triangulation of an n-gon.We give a simple conjectural characterization of pure oriented matroids by forbidden minors and prove it for the above classes of matroids (rank 3, graphical, uniform).
Lingua: Inglese
Editore: Cambridge University Press, 2016
ISBN 10: 1107086582 ISBN 13: 9781107086586
Da: Ria Christie Collections, Uxbridge, Regno Unito
EUR 93,55
Quantità: Più di 20 disponibili
Aggiungi al carrelloCondizione: New. In.
Lingua: Inglese
Editore: American Mathematical Society, 2023
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: Studibuch, Stuttgart, Germania
EUR 57,75
Quantità: 1 disponibili
Aggiungi al carrellopaperback. Condizione: Gut. 79 Seiten; 9781470467005.3 Gewicht in Gramm: 1.
Lingua: Inglese
Editore: Cambridge University Press CUP, 2016
ISBN 10: 1107086582 ISBN 13: 9781107086586
Da: Books Puddle, New York, NY, U.S.A.
Condizione: New.
Lingua: Inglese
Editore: American Mathematical Society, US, 2023
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: Rarewaves.com UK, London, Regno Unito
EUR 94,14
Quantità: 1 disponibili
Aggiungi al carrelloPaperback. Condizione: New. Leclerc and Zelevinsky, motivated by the study of quasi-commuting quantum flag minors, introduced the notions of strongly separated and weakly separated collections. These notions are closely related to the theory of cluster algebras, to the combinatorics of the double Bruhat cells, and to the totally positive Grassmannian.A key feature, called the purity phenomenon, is that every maximal by inclusion strongly (resp., weakly) separated collection of subsets in [n] has the same cardinality.In this paper, we extend these notions and define M-separated collections for any oriented matroid M.We show that maximal by size M-separated collections are in bijection with fine zonotopal tilings (if M is a realizable oriented matroid), or with one-element liftings of M in general position (for an arbitrary oriented matroid).We introduce the class of pure oriented matroids for which the purity phenomenon holds: an oriented matroid M is pure if M-separated collections form a pure simplicial complex, i.e., any maximal by inclusion M-separated collection is also maximal by size.We pay closer attention to several special classes of oriented matroids: oriented matroids of rank 3, graphical oriented matroids, and uniform oriented matroids. We classify pure oriented matroids in these cases. An oriented matroid of rank 3 is pure if and only if it is a positroid (up to reorienting and relabeling its ground set). A graphical oriented matroid is pure if and only if its underlying graph is an outerplanar graph, that is, a subgraph of a triangulation of an n-gon.We give a simple conjectural characterization of pure oriented matroids by forbidden minors and prove it for the above classes of matroids (rank 3, graphical, uniform).
Lingua: Inglese
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: GreatBookPrices, Columbia, MD, U.S.A.
Condizione: New.
Lingua: Inglese
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: GreatBookPrices, Columbia, MD, U.S.A.
Condizione: As New. Unread book in perfect condition.
Lingua: Inglese
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: GreatBookPricesUK, Woodford Green, Regno Unito
EUR 91,20
Quantità: 2 disponibili
Aggiungi al carrelloCondizione: New.
Lingua: Inglese
ISBN 10: 1470467003 ISBN 13: 9781470467005
Da: GreatBookPricesUK, Woodford Green, Regno Unito
EUR 106,19
Quantità: 2 disponibili
Aggiungi al carrelloCondizione: As New. Unread book in perfect condition.
Lingua: Inglese
Editore: Cambridge University Press, 2016
ISBN 10: 1107086582 ISBN 13: 9781107086586
Da: Majestic Books, Hounslow, Regno Unito
EUR 128,46
Quantità: 4 disponibili
Aggiungi al carrelloCondizione: New. Print on Demand.
Lingua: Inglese
Editore: Cambridge University Press, 2016
ISBN 10: 1107086582 ISBN 13: 9781107086586
Da: Biblios, Frankfurt am main, HESSE, Germania
EUR 129,48
Quantità: 4 disponibili
Aggiungi al carrelloCondizione: New. PRINT ON DEMAND.