Eero Raty

activity

20182023

most citedThe Toucher-Isolator Game on Trees

2 citations · 4 across the 3 of their papers we have counts for

collaborators

Showing math.COShow all

7 papers · 1 filter

math.CO2023★ 1 cited

Note on the second eigenvalue of regular graphs

Igor Balla, Eero Räty, Benny Sudakov +1

The goal of this expository note is to give a short, self-contained proof of nearly optimal lower bounds for the second largest eigenvalue of the adjacency matrix of regular graphs…

math.CO2020★ 2 cited

The Toucher-Isolator Game on Trees

Eero Raty

Consider the following Maker-Breaker type game played by Toucher and Isolator on the edges of a graph $G$ with first move given to Toucher. The aim of Isolator is to maximise the n…

math.CO2019

A grid generalisation of the Kruskal-Katona theorem

Eero Raty

For a set $A \subseteq [k]^{n} = {0, \dots, k - 1}^{n}$ , we define the $d$ -shadow of $A$ to be the set of points obtained by flipping to zero one of the non-zero…

math.CO2019

An Achievement Game on a Cycle

Eero Raty

Consider the following game played by Maker and Breaker on the vertices of the cycle $C_{n}$ , with first move given to Breaker. The aim of Maker is to maximise the number of adjace…

math.CO2019

Coordinate deletion of zeroes

Eero Raty

For a family $A \subseteq {0, \dots, k}^{n}$ , define the $δ$ -shadow of $A$ to be the set obtained from $A$ by removing from any of its vectors one coordinate that equals…

math.CO2019★ 1 cited

Induced Saturation of $P_{6}$

Eero Raty

A graph $G$ is called $H$ -induced-saturated if $G$ does not contain an induced copy of $H$ , but removing any edge from $G$ creates an induced copy of $H$ and adding any edge of $G^…

Note on the second eigenvalue of regular graphs

The Toucher-Isolator Game on Trees

A grid generalisation of the Kruskal-Katona theorem

An Achievement Game on a Cycle

Coordinate deletion of zeroes

Induced Saturation of P6​

Induced Saturation of $P_{6}$