Главная
Study mode:
on
1
Introduction
2
Low highway dimension graphs
3
Why would I mention
4
What we were interested in
5
Formal definition
6
Embedding
7
Results
8
Construction
9
Hierarchy
10
Decomposition
11
SubTowns
12
Doubling Dimension
13
Core Hubs
14
Proof
15
Properties
16
Similarities
17
Method
18
Issues
19
A definition
20
Conclusions
21
Air traffic networks
22
Open problems
Description:
Explore a 27-minute lecture by Andreas Emil Feldmann on embedding low highway dimension graphs into bounded treewidth graphs. Delve into the concept of graphs with bounded highway dimension as a model for transportation networks. Learn about a novel embedding technique that distorts distances by a factor of 1+ε in expectation while achieving polylogarithmic treewidth. Discover how this result leads to quasi-polynomial time approximation schemes for optimization problems in transportation networks. Examine the extension of Talwar's embedding techniques for low doubling dimension metrics and the analysis of low highway dimension graph structures. Gain insights into the application of geometric tools beyond low doubling metrics. Follow the lecture's progression from introduction to formal definitions, embedding construction, proofs, and conclusions, including discussions on air traffic networks and open problems in the field.

Andreas E. Feldmann - A -embedding of Low Highway Dimension Graphs into Bounded Treewidth Graphs

Hausdorff Center for Mathematics
Add to list