Add to ORKGWe prove the following 30 year-old conjecture of Győri and Tuza: the edges of every n-vertex graph G can be decomposed into complete graphs C1,. . .,Cℓ of orders two and three such that |C1|+···+|Cℓ| ≤ (1/2+o(1))n2. This result implies the asymptotic version of the old result of Erdős, Goodman and Pósa that asserts the existence of such a decomposition with ℓ ≤ n2/4
A typical decomposition question asks whether the edges of some graph G can be partitioned into disj...
AbstractHajós’ conjecture asserts that a simple eulerian graph on n vertices can be decomposed into ...
For given positive integer n ≥ 4, let Cn, Kn and L(Kn) respectively denote a cycle with n edges, a c...
We prove the following 30 year-old conjecture of Győri and Tuza: the edges of every n-vertex graph G...
For a real constant α, let π α 3 (G) be the minimum of twice the number of K2’s plus α times the num...
International audienceThe well-known 1-2-3 Conjecture asserts that the edges of every graph without ...
In the 1960's, Erdős and Gallai conjectured that the edges of any n-vertex graph can be decomposed i...
In the 1960's, Erd\H{o}s and Gallai conjectured that the edges of any $n$-vertex graph can be decomp...
The graph removal lemma states that any graph on n vertices with o(n^h) copies of a fixed graph H on...
AbstractA graph H decomposes a graph G if and only if the edges of G can be partitioned into disjoin...
We show the quarter of a century old conjecture that every K4-free graph with n vertices and ⌊n2/4⌋+...
A typical theme for many well-known decomposition problems is to show that some obvious necessary co...
In the 1960s, Erdős and Gallai conjectured that the edge set of every graph on n vertices can be par...
AbstractIt is shown that, for any positive integer d, the d-dimensional cube Wd has an α-valuation. ...
THE SPECIAL CHARACTERS IN THIS ABSTRACT CANNOT BE DISPLAYED CORRECTLY ON THIS PAGE. PLEASE REFER TO ...
A typical decomposition question asks whether the edges of some graph G can be partitioned into disj...
AbstractHajós’ conjecture asserts that a simple eulerian graph on n vertices can be decomposed into ...
For given positive integer n ≥ 4, let Cn, Kn and L(Kn) respectively denote a cycle with n edges, a c...
We prove the following 30 year-old conjecture of Győri and Tuza: the edges of every n-vertex graph G...
For a real constant α, let π α 3 (G) be the minimum of twice the number of K2’s plus α times the num...
International audienceThe well-known 1-2-3 Conjecture asserts that the edges of every graph without ...
In the 1960's, Erdős and Gallai conjectured that the edges of any n-vertex graph can be decomposed i...
In the 1960's, Erd\H{o}s and Gallai conjectured that the edges of any $n$-vertex graph can be decomp...
The graph removal lemma states that any graph on n vertices with o(n^h) copies of a fixed graph H on...
AbstractA graph H decomposes a graph G if and only if the edges of G can be partitioned into disjoin...
We show the quarter of a century old conjecture that every K4-free graph with n vertices and ⌊n2/4⌋+...
A typical theme for many well-known decomposition problems is to show that some obvious necessary co...
In the 1960s, Erdős and Gallai conjectured that the edge set of every graph on n vertices can be par...
AbstractIt is shown that, for any positive integer d, the d-dimensional cube Wd has an α-valuation. ...
THE SPECIAL CHARACTERS IN THIS ABSTRACT CANNOT BE DISPLAYED CORRECTLY ON THIS PAGE. PLEASE REFER TO ...
A typical decomposition question asks whether the edges of some graph G can be partitioned into disj...
AbstractHajós’ conjecture asserts that a simple eulerian graph on n vertices can be decomposed into ...
For given positive integer n ≥ 4, let Cn, Kn and L(Kn) respectively denote a cycle with n edges, a c...