Building Bridges II Mathematics of László Lovász Imre Bárány 3662592045 9783662592045

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Product details:

• ISBN 10: 3662592045
• ISBN 13: 9783662592045
• Author: Imre Bárány

This volume collects together research and survey papers written by invited speakers of the conference celebrating the 70th birthday of László Lovász. The topics covered include classical subjects such as extremal graph theory, coding theory, design theory, applications of linear algebra and combinatorial optimization, as well as recent trends such as extensions of graph limits, online or statistical versions of classical combinatorial problems, and new methods of derandomization. László Lovász is one of the pioneers in the interplay between discrete and continuous mathematics, and is a master at establishing unexpected connections, “building bridges” between seemingly distant fields. His invariably elegant and powerful ideas have produced new subfields in many areas, and his outstanding scientific work has defined and shaped many research directions in the last 50 years. The 14 contributions presented in this volume, all of which are connected to László Lovász’s areas of research, offer an excellent overview of the state of the art of combinatorics and related topics and will be of interest to experienced specialists as well as young researchers.

Table of contents:

1. Continuous Matroids Revisited
2. Identifiability for Graphexes and the Weak Kernel Metric
3. Online Ramsey Numbers and the Subgraph Query Problem
4. Statistical Matching Theory
5. Sequential Importance Sampling for Estimating the Number of Perfect Matchings in Bipartite Graphs: An Ongoing Conversation with Laci
6. Tighter Bounds for Online Bipartite Matching
7. Minimum Cost Globally Rigid Subgraphs
8. Coloured and Directed Designs
9. Efficient Convex Optimization with Oracles
10. Approximations of Mappings
11. Subspace Arrangements, Graph Rigidity and Derandomization Through Submodular Optimization
12. Finding k Partially Disjoint Paths in a Directed Planar Graph
13. Embedding Graphs into Larger Graphs: Results, Methods, and Problems

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