H. Guggiari

activity

20172019

most citedMonochromatic Paths in the Complete Symmetric Infinite Digraph

2 citations · 2 across the 1 of their papers we have counts for

collaborators

5 papers

math.CO2019

Monochromatic Components in Edge-Coloured Graphs with Large Minimum Degree

Hannah Guggiari, Alex Scott

For every $n \in N$ and $k \geq 2$ , it is known that every $k$ -edge-colouring of the complete graph on $n$ vertices contains a monochromatic connected component of order at le…

math.CO2018

Size reconstructibility of graphs

Carla Groenland, Hannah Guggiari, Alex Scott

The deck of a graph $G$ is given by the multiset of (unlabelled) subgraphs ${G - v : v \in V (G)}$ . The subgraphs $G - v$ are referred to as the cards of $G$ . Brown and Fenner recently s…

math.CO2018

Approximating the position of a hidden agent in a graph

Hannah Guggiari, Alexander Roberts, Alex Scott

A cat and mouse play a pursuit and evasion game on a connected graph $G$ with $n$ vertices. The mouse moves to vertices $m_{1}, m_{2}, \dots$ of $G$ where $m_{i}$ is in the closed neighbou…

math.CO2018

Partitioning Edge-Coloured Complete Symmetric Digraphs into Monochromatic Complete Subgraphs

Carl Bürger, Louis DeBiasio, Hannah Guggiari +1

Let $K_{N}$ be the complete symmetric digraph on the positive integers. Answering a question of DeBiasio and McKenney, we construct a $2$ -colouring of the edges of $K_{\ma…

math.CO2017★ 2 cited

Monochromatic Paths in the Complete Symmetric Infinite Digraph

Hannah Guggiari

Let $K_{N}$ be the complete symmetric digraph on the positive integers. Answering a question of DeBiasio and McKenney, we construct a 2-colouring of the edges of $\v…