James Davies, Separating polynomial -boundedness from -boundedness
Zoom ID: 869 4632 6610 (ibsdimag)
We prove that there is a function
We prove that there is a function
An independent dominating set of a graph, also known as a maximal independent set, is a set
A graph G is a k-leaf power if there exists a tree T whose leaf set is V(G), and such that uv is an edge if and only if the …
Tutte (1961) proved that every simple
Every minor-closed class of matroids of bounded branch-width can be characterized by a minimal list of excluded minors, but unlike graphs, this list could be infinite in general. However, for …
This talk follows on from the recent talk of Pascal Gollin in this seminar series, but will aim to be accessible for newcomers. Erdős and Pósa proved in 1965 that …
We examine algorithmic extensions of two classic results of extremal combinatorics. First, the theorem of Dirac from 1952 asserts that a 2-connected graph G with the minimum vertex degree d>1, …
It is known that the rank- and tree-width of the random graph
This program consists of a short intensive workshop, where mathematicians from across the globe will come together to work on open problems in structural graph theory. We will consider the …
The Ramsey number