Add to ORKGThe graph removal lemma states that any graph on n vertices with o(n^h) copies of a fixed graph H on h vertices may be made H-free by removing o(n^2) edges. Despite its innocent appearance, this lemma and its extensions have several important consequences in number theory, discrete geometry, graph theory and computer science. In this survey we discuss these lemmas, focusing in particular on recent improvements to their quantitative aspects
The Szemerédi Regularity Lemma (SzRL) was introduced by Endré Szemerédi in his celebrated proof of t...
AbstractSzemerédi's regularity lemma proved to be a powerful tool in extremal graph theory. Many of ...
We study several problems in extremal graph theory. Chapter 2 studies Tuza's Conjecture, which stat...
The graph removal lemma states that any graph on n vertices with o(n^h) copies of a fixed graph H on...
Let H be a fixed graph with h vertices. The graph removal lemma states that every graph on n vertice...
In this work we explain and prove the graph removal lemma, both in its dense and sparse cases, and s...
The Turán number of a graph H, denoted ex(n,H), is the maximum number of edges in an n-vertex graph...
We show, for any positive integer k, that there exists a graph in which any equitable partition of i...
An analytic approach to sparse hypergraphs: hypergraph removal, Discrete Analysis 2018:3, 47 pp. Th...
By using the Szemeredi Regularity Lemma, Alon and Sudakov recently extended the classical Andrasfa...
We study quantitative relationships between the triangle removal lemma and several of its variants. ...
We study an extension of the triangle removal lemma of Ruzsa and Szemeredi [Triple systems with no s...
This thesis presents some contributions in additive combinatorics and arithmetic Ramsey theory. More...
For a graph H, the H-free Edge Deletion problem asks whether there exist at most k edges whose delet...
We prove the following 30 year-old conjecture of Győri and Tuza: the edges of every n-vertex graph G...
The Szemerédi Regularity Lemma (SzRL) was introduced by Endré Szemerédi in his celebrated proof of t...
AbstractSzemerédi's regularity lemma proved to be a powerful tool in extremal graph theory. Many of ...
We study several problems in extremal graph theory. Chapter 2 studies Tuza's Conjecture, which stat...
The graph removal lemma states that any graph on n vertices with o(n^h) copies of a fixed graph H on...
Let H be a fixed graph with h vertices. The graph removal lemma states that every graph on n vertice...
In this work we explain and prove the graph removal lemma, both in its dense and sparse cases, and s...
The Turán number of a graph H, denoted ex(n,H), is the maximum number of edges in an n-vertex graph...
We show, for any positive integer k, that there exists a graph in which any equitable partition of i...
An analytic approach to sparse hypergraphs: hypergraph removal, Discrete Analysis 2018:3, 47 pp. Th...
By using the Szemeredi Regularity Lemma, Alon and Sudakov recently extended the classical Andrasfa...
We study quantitative relationships between the triangle removal lemma and several of its variants. ...
We study an extension of the triangle removal lemma of Ruzsa and Szemeredi [Triple systems with no s...
This thesis presents some contributions in additive combinatorics and arithmetic Ramsey theory. More...
For a graph H, the H-free Edge Deletion problem asks whether there exist at most k edges whose delet...
We prove the following 30 year-old conjecture of Győri and Tuza: the edges of every n-vertex graph G...
The Szemerédi Regularity Lemma (SzRL) was introduced by Endré Szemerédi in his celebrated proof of t...
AbstractSzemerédi's regularity lemma proved to be a powerful tool in extremal graph theory. Many of ...
We study several problems in extremal graph theory. Chapter 2 studies Tuza's Conjecture, which stat...