|Tuesday 13 November 2018|
|Events for day: Wednesday 14 November 2018|
| 14:00 - 15:00 Lecture|
Tangles -vs- Trees
The topic of these talks is the structural theory of sparse graphs. More specifically, we study the interplay between highly cohesive substructures, which we figuratively refer to as `tangles', and decompositions over a (graph-theoretic) tree, which we simply call `trees'. At this point, we intentionally leave the meaning of these terms undefined and rely solely on the connotations they may carry.
We are primarily interested in situations in which a certain pair of a tangle and a tree cannot coexist: the existence of the specified substructure makes a decomposition of the desired kind impossible and vice versa. For example, tree-dec ...