Greedoids / by Bernhard Korte, Rainer Schrader, László Lovász
(Algorithms and Combinatorics ; 4)
| データ種別 | 電子ブック |
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| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 1991 |
| 本文言語 | 英語 |
| 大きさ | VIII, 214 p : online resource |
書誌詳細を非表示
| 内容注記 | I. Introduction 1. Set Systems and Languages 2. Graphs, Partially Ordered Sets and Lattices II. Abstract Linear Dependence — Matroids 1. Matroid Axiomatizations 2. Matroids and Optimization 3. Operations on Matroids 4. Submodular Functions and Polymatroids III. Abstract Convexity — Antimatroids 1. Convex Geometries and Shelling Processes 2. Examples of Antimatroids 3. Circuits and Paths 4. Helly’s Theorem and Relatives 5. Ramsey-type Results 6. Representations of Antimatroids IV. General Exchange Structures — Greedoids 1. Basic Facts 2. Examples of Greedoids V. Structural Properties 1. Rank Function 2. Closure Operators 3. Rank and Closure Feasibility 4. Minors and Extensions 5. Interval Greedoids VI. Further Structural Properties 1. Lattices Associated with Greedoids 2. Connectivity in Greedoids VII. Local Poset Greedoids 1. Polymatroid Greedoids 2. Local Properties of Local Poset Greedoids 3. Excluded Minors for Local Posets 4. Paths in Local Poset Greedoids 5. Excluded Minors for Undirected Branchings Greedoids VIII. Greedoids on Partially Ordered Sets 1. Supermatroids 2. Ordered Geometries 3. Characterization of Ordered Geometries 4. Minimal and Maximal Ordered Geometries IX. Intersection, Slimming and Trimming 1. Intersections of Greedoids and Antimatroids 2. The Meet of a Matroid and an Antimatroid 3. Balanced Interval Greedoids 4. Exchange Systems and Gauss Greedoids X. Transposition Greedoids 1. The Transposition Property 2. Applications of the Transposition Property 3. Simplicial Elimination XI. Optimization in Greedoids 1. General Objective Functions 2. Linear Functions 3. Polyhedral Descriptions 4. Transversals and Partial Transversals 5. Intersection of Supermatroids XII. Topological Results for Greedoids 1. A Brief Review of Topological Prerequisites 2. Shellability of Greedoids and the Partial Tutte Polynomial 3. Homotopy Properties of Greedoids References Notation Index Author Index Inclusion Chart (inside the back cover) |
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| 著者標目 | *Korte, Bernhard author Schrader, Rainer author Lovász, László author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Combinatorics FREE:Mathematics FREE:Combinatorics |
| 分 類 | DC23:511.6 |
| 巻冊次 | ISBN:9783642581915 
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| ISBN | 9783642581915 |
| URL | http://dx.doi.org/10.1007/978-3-642-58191-5 |
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