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20032023
most citedAlgorithmic barriers from phase transitions

162 citations · 853 across the 40 of their papers we have counts for

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Showing 2015Show all

7 papers · 1 filter

math.PR2015★ 17 cited

Limits of discrete distributions and Gibbs measures on random graphs

Amin Coja-Oghlan, Will Perkins, Kathrin Skubch

Building upon the theory of graph limits and the Aldous-Hoover representation and inspired by Panchenko's work on asymptotic Gibbs measures (Annals of Probability 2013), we constru…

cs.DM2015

Hypergraph coloring up to condensation

Peter Ayre, Amin Coja-Oghlan, Catherine Greenhill

Improving a result of Dyer, Frieze and Greenhill [Journal of Combinatorial Theory, Series B, 2015], we determine the -colorability threshold in random -uniform hypergraphs up…

math.PR2015

The condensation phase transition in the regular -SAT model

Victor Bapst, Amin Coja-Oghlan

Much of the recent work on random constraint satisfaction problems has been inspired by ingenious but non-rigorous approaches from physics. The physics predictions typically come i…

cs.DM2015★ 2 cited

The minimum bisection in the planted bisection model

Amin Coja-Oghlan, Oliver Cooley, Mihyun Kang +1

In the planted bisection model a random graph with vertices is created by partitioning the vertices randomly into two classes of equal size (up to ). Any…

math.PR2015★ 22 cited

Harnessing the Bethe free energy

Victor Bapst, Amin Coja-Oghlan

A wide class of problems in combinatorics, computer science and physics can be described along the following lines. There are a large number of variables ranging over a finite doma…

math.CO2015

How does the core sit inside the mantle?

Amin Coja-Oghlan, Oliver Cooley, Mihyun Kang +1

The -core, defined as the largest subgraph of minimum degree , of the random graph has been studied extensively. In a landmark paper Pittel, Wormald and Spencer [JCT…