activity
20022013
most citedColoring random graphs

194 citations · 442 across the 9 of their papers we have counts for

collaborators

9 papers

cond-mat.dis-nn2013★ 6 cited

Theory and learning protocols for the material tempotron model

Carlo Baldassi, Alfredo Braunstein, Riccardo Zecchina

Neural networks are able to extract information from the timing of spikes. Here we provide new results on the behavior of the simplest neuronal model which is able to decode inform…

cond-mat.stat-mech2012★ 11 cited

Sign problem in the Bethe approximation

A. Ramezanpour, R. Zecchina

We propose a message-passing algorithm to compute the Hamiltonian expectation with respect to an appropriate class of trial wave functions for an interacting system of fermions. To…

cond-mat.stat-mech2012★ 3 cited

Cavity approach to sphere packing in Hamming space

A. Ramezanpour, R. Zecchina

In this paper we study the hard sphere packing problem in the Hamming space by the cavity method. We show that both the replica symmetric and the replica symmetry breaking approxim…

cond-mat.stat-mech2011★ 10 cited

Statistical physics approach to graphical games: local and global interactions

A. Ramezanpour, J. Realpe-Gomez, R. Zecchina

In a graphical game agents play with their neighbors on a graph to achieve an appropriate state of equilibrium. Here relevant problems are characterizing the equilibrium set and di…

q-bio.QM2009★ 34 cited

Aligning graphs and finding substructures by a cavity approach

S. Bradde, A. Braunstein, H. Mahmoudi +3

We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique…

cond-mat.stat-mech2008★ 51 cited

Statistical Mechanics of Steiner trees

M. Bayati, C. Borgs, A. Braunstein +3

The Minimum Weight Steiner Tree (MST) is an important combinatorial optimization problem over networks that has applications in a wide range of fields. Here we discuss a general te…

cond-mat.dis-nn2003★ 114 cited

Polynomial iterative algorithms for coloring and analyzing random graphs

A. Braunstein, R. Mulet, A. Pagnani +2

We study the graph coloring problem over random graphs of finite average connectivity . Given a number of available colors, we find that graphs with low connectivity admit a…

cond-mat.stat-mech2002★ 194 cited

Coloring random graphs

R. Mulet, A. Pagnani, M. Weigt +1

We study the graph coloring problem over random graphs of finite average connectivity . Given a number of available colors, we find that graphs with low connectivity admit a…

cond-mat.stat-mech2002★ 19 cited

Complexity transitions in global algorithms for sparse linear systems over finite fields

A. Braunstein, M. Leone, F. Ricci-Tersenghi +1

We study the computational complexity of a very basic problem, namely that of finding solutions to a very large set of random linear equations in a finite Galois Field modulo q. Us…