01:06:15
published on September 12, 2025
The Arithmetic of Power Series and Applications to Irrationality
By Yunqing Tang
Lecture 3 - Two-dimensional computational topology
Appears in collection : School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects
This series of lectures will describe recent and not-so-recent works in computational topology of curves in the plane and on surfaces. Combinatorial and algorithmic aspects will be discussed.
Lecture 3. Shortest paths and cycles - Dijkstra’s algorithm - tree-cotree decompositions again - pivots and slack - multiple-source shortest paths - shortest nontrivial cycles - combinatorial vs. Riemannian systole bounds
