Recherche

A triangulation of a surface is k-irreducible if every edge belongs to a non-contractible curve of length k and there are no shorter non-contractible

A landmark result of Alon and Shapira characterises testable graph properties by showing that every such property can be described via the Szemerédi

Consider a graph G with a path P of order n. What conditions force G to also have a long induced path? In this talk, we will propose a new way to

We will look at an analogue theorem of the classical Erdős-Pósa Theorem. We prove a $GF(q)$-representable matroid analogue of Robertson and Seymour's

Hex is a board game, where two players take turns placing red and blue stones respectively on a rhombus-shaped board with hexagonal cells, with the

Strong flip-flatness has emerged as a natural dense analogue of uniform almost-wideness in the context of preservation theorems, but its combinatorial

In computational biology, phylogenetics is the study of evolutionary histories, their reconstruction from data, their comparison, and interaction

In the Demand Strip Packing problem (DSP), we are given a finite set of axis-aligned rectangular items, each characterized by a specific width and

Given a graph $G$ and an integer $k \geq 2$, let $\chi'_k(G)$ denote the minimum number of colours required to colour the edges of $G$ such that, in

In graph modification problems, we want to modify a graph through some operation (e.g. vertex/edge deletion/addition/contraction) to obtain a graph