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Erdős–Gyárfás conjecture
Papers overview
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2019
2019
It is conjectured that within the class group of any number field, for every integer $\ell \geq 1$, the $\ell$-torsion subgroup… Expand
2017
2017
Abstract Improving our earlier result we show that for every integer k ≥ 1 there exists a c ( k ) such that in every 2-colored… Expand
2016
2016
NSF [DMS-1302886, DMS-1201374]; Prometeo/Generalitat Valenciana [MTM2013-40464-P]; Simons Foundation Fellowship [305247]
2015
2015
Let $$({\mathcal {A}},{\mathcal {A}}',{\mathcal {A}}^H)$$(A,A′,AH) be the triple of hyperplane arrangements. We show that the… Expand
2015
2015
The principal motivation of the present Ph.D subject is the study of certain interactions between number theory, algebraic… Expand
Review
2014
Review
2014
Many real-world phenomena can be modelled using networks. Often, these networks interact with one another in non-trivial ways… Expand
2013
2013
In 1995, Paul Erdos and Andras Gyarfas conjectured that for every graph of minimum degree at least 3, there exists a non-negative… Expand
2010
2010
Abstract We give a concise exposition of the elegant proof given recently by Leonid Gurvits for several lower bounds on… Expand
2001
2001
We investigate the evolution of different measures of `gravitational entropy' in Bianchi type I and Lemaitre-Tolman universe… Expand
1983
1983
The Gyarfas-Lehel tree-packing conjecture asserts that any sequence T1, T2, …, Tn−1 of trees with 1, 2, …, n - 1 edges packs into… Expand