József Balogh

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20232026

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math.FA2024

Random Geometric Graphs in Reflexive Banach Spaces

József Balogh, Mark Walters, András Zsák

We investigate a random geometric graph model introduced by Bonato and Janssen. The vertices are the points of a countable dense set $S$ in a (necessarily separable) normed vector…

math.CO2024

On the maximum $F$ -free induced subgraphs in $K_{t}$ -free graphs

József Balogh, Ce Chen, Haoran Luo

For graphs $F$ and $H$ , let $f_{F, H} (n)$ be the minimum possible size of a maximum $F$ -free induced subgraph in an $n$ -vertex $H$ -free graph. This notion generalizes the Ramsey fun…

Random Geometric Graphs in Reflexive Banach Spaces

On the maximum F-free induced subgraphs in Kt​-free graphs

On the maximum $F$ -free induced subgraphs in $K_{t}$ -free graphs