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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
A graph is reconstructible if it is determined up to isomorphism by the multiset of its proper induced subgraphs. The reconstruction conjecture
A temporal graph G is a sequence of graphs G1, G2, ... , Gt on the same vertex set. In this talk, we are interested in the analogue of the Travelling
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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