Add to ORKGGiven a family of graphs ℌ, the extremal number ex(n, ℌ) is the largest m for which there exists a graph with n vertices and m edges containing no graph from the family ℌ as a subgraph. We show that for every rational number r between 1 and 2, there is a family of graphs ℌ_r such that ex (n, ℌ_r) = Θ(n^r). This solves a longstanding problem in the area of extremal graph theory
We prove a selection of results from different areas of extremal combinatorics, including complete o...
By extremal number ex(n;t ) = ex(n;{C₃, C₄, ..., Ct}) we denote the maximum size (that is, number of...
For a graph H, the extremal number ex(n,H) is the maximum number of edges in a graph of order n not ...
Given a family of graphs ℌ, the extremal number ex(n, ℌ) is the largest m for which there exists a g...
<p>Given a family of graphs H, the extremal number ex(n,H) is the largest m for which there exists a...
Given a family of graphs H, the extremal number ex(n;H) is the largest m for which there exists a gr...
Given a graph H, the extremal number ex(n,H) is the largest number of edges in an H-free graph on n ...
This dissertation contains results from various areas of Combinatorics. In Chapter 2, we consider a...
We show that for every rational number $r \in (1,2)$ of the form $2 - a/b$, where $a, b \in \mathbb{...
One of the cornerstones of extremal graph theory is a result of Füredi, later reproved and given due...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
We prove several results from different areas of extremal combinatorics, including complete or parti...
We prove several results from different areas of extremal combinatorics, including complete or parti...
We prove several results from different areas of extremal combinatorics, including complete or parti...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
By extremal number ex(n;t ) = ex(n;{C₃, C₄, ..., Ct}) we denote the maximum size (that is, number of...
For a graph H, the extremal number ex(n,H) is the maximum number of edges in a graph of order n not ...
Given a family of graphs ℌ, the extremal number ex(n, ℌ) is the largest m for which there exists a g...
<p>Given a family of graphs H, the extremal number ex(n,H) is the largest m for which there exists a...
Given a family of graphs H, the extremal number ex(n;H) is the largest m for which there exists a gr...
Given a graph H, the extremal number ex(n,H) is the largest number of edges in an H-free graph on n ...
This dissertation contains results from various areas of Combinatorics. In Chapter 2, we consider a...
We show that for every rational number $r \in (1,2)$ of the form $2 - a/b$, where $a, b \in \mathbb{...
One of the cornerstones of extremal graph theory is a result of Füredi, later reproved and given due...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
We prove several results from different areas of extremal combinatorics, including complete or parti...
We prove several results from different areas of extremal combinatorics, including complete or parti...
We prove several results from different areas of extremal combinatorics, including complete or parti...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
We prove a selection of results from different areas of extremal combinatorics, including complete o...
By extremal number ex(n;t ) = ex(n;{C₃, C₄, ..., Ct}) we denote the maximum size (that is, number of...
For a graph H, the extremal number ex(n,H) is the maximum number of edges in a graph of order n not ...