Add to ORKGAbstract. A k-graph G(k) on vertex set [n] = {1,..., n} is said to be (ρ, ζ)-uniform if every S ⊆ [n] of size s = |S |> ζn spans (ρ ± ζ)(s k edges. A ‘grabbing lemma ’ of Mubayi and Rödl shows that this property is typically inherited locally: if G(k) is (ρ, ζ)-uniform, then all but exp{−s1/k/20}(
Let P be a graph property. For k ≥ 1, a graph G has property Pk iff every induced k-vertex subgraph ...
AbstractThe uniform subset graph G(n, k, t) is defined to have all k-subsets of an n-set as vertices...
Szemerédi’s Regularity Lemma proved to be a powerful tool in the area of extremal graph theory. Many...
Abstract. Szemerédi’s Regularity Lemma is a powerful tools in graph theory. It asserts that all lar...
AbstractWe prove that sufficiently large graphs with sufficiently many ‘uniformly distributed’ edges...
A P≥k-factor of a graph G is a spanning subgraph of G whose components are paths of order at least k...
A set A of vertices in an r-uniform hypergraph H is covered inH if there is some vertex u∉ A such th...
AbstractIt is shown that every graph on n ⩾ 6 vertices without induced copies of C4 and K4 - e conta...
Abstract: Given an arbitrary non-empty subset M of vertices in a graph G = (V,E), each vertex u in G...
summary:The betweenness centrality of a vertex of a graph is the fraction of shortest paths between ...
The graph G′ obtained from a graph G by identifying two nonadjacent vertices in G having at least on...
Szemerédi’s Regularity Lemma [22, 23] is one of the most powerful tools in combinatorics. It assert...
abstract: This paper focuses on the Szemerédi regularity lemma, a result in the field of extremal gr...
A graph G0 obtained from G by identifying two non-adjacent vertices in G having a common neighbor is...
The notion of uniformity, as in uniform 1 -factorisations, extends naturally to graph decompositions...
Let P be a graph property. For k ≥ 1, a graph G has property Pk iff every induced k-vertex subgraph ...
AbstractThe uniform subset graph G(n, k, t) is defined to have all k-subsets of an n-set as vertices...
Szemerédi’s Regularity Lemma proved to be a powerful tool in the area of extremal graph theory. Many...
Abstract. Szemerédi’s Regularity Lemma is a powerful tools in graph theory. It asserts that all lar...
AbstractWe prove that sufficiently large graphs with sufficiently many ‘uniformly distributed’ edges...
A P≥k-factor of a graph G is a spanning subgraph of G whose components are paths of order at least k...
A set A of vertices in an r-uniform hypergraph H is covered inH if there is some vertex u∉ A such th...
AbstractIt is shown that every graph on n ⩾ 6 vertices without induced copies of C4 and K4 - e conta...
Abstract: Given an arbitrary non-empty subset M of vertices in a graph G = (V,E), each vertex u in G...
summary:The betweenness centrality of a vertex of a graph is the fraction of shortest paths between ...
The graph G′ obtained from a graph G by identifying two nonadjacent vertices in G having at least on...
Szemerédi’s Regularity Lemma [22, 23] is one of the most powerful tools in combinatorics. It assert...
abstract: This paper focuses on the Szemerédi regularity lemma, a result in the field of extremal gr...
A graph G0 obtained from G by identifying two non-adjacent vertices in G having a common neighbor is...
The notion of uniformity, as in uniform 1 -factorisations, extends naturally to graph decompositions...
Let P be a graph property. For k ≥ 1, a graph G has property Pk iff every induced k-vertex subgraph ...
AbstractThe uniform subset graph G(n, k, t) is defined to have all k-subsets of an n-set as vertices...
Szemerédi’s Regularity Lemma proved to be a powerful tool in the area of extremal graph theory. Many...