Partially ordered sets
Methods and challenges
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May 17
lecture
exercices
May 18
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May 19
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May 20
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May 24
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May 25
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May 26
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May 27
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May 31
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June 1
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June 2
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June 3
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June 7
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June 8
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June 9
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June 10
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Presentations:
Partially Ordered Sets: Basic Concepts
Comparability Graphs
Planarity for Partially Ordered Sets
Adjacency Posets of Planar Graphs
Schnyderâ€™s Theorem and Relatives
Circle and Sphere Orders
Draft chapters:
1. Introduction
2. Chains and Antichains
3. Comparability Graphs, Interval Graphs and Interval Orders
4. Extremal Set Theory
7. Correlation
8. Counting Linear Extensions: Polyhedral Methods
Papers:
A Note on Dilworth's Embedding Theorem
The Order Dimension of Convex Polytopes
On-line Coloring and Recursive Graph Theory
Planar Graph Coloring with an Uncooperative Partner
On the fractional dimension of partially ordered sets
The Dimension of Suborders of the Boolean Lattice
Colorings of diagrams of interval orders and α-sequences of sets
Balancing Pairs and the Cross Product Conjecture
Partially Ordered Sets
The Order Dimension of Planar Maps
Ramsey Theory and Sequences of Random Variables
Geometric Containment Orders: A Survey
Finite three dimensional partial orders which are not sphere orders
The maximum number of edges in a graph of bounded dimension, with applications to ring theory
Dimension, Graph and Hypergraph Coloring
A combinatorial approach to correlation inequalities
Posets and Planar Graphs
Segment Orders
Interval partitions and Stanley depth
Adjacency posets of planar graphs
On the size of maximal antichains and the number of pairwise disjoint maximal chains
On-line Dimension for Posets Excluding Two Long Incomparable Chains
Online Linear Discrepancy of Partially Ordered Sets