WebAmin Coja-Oghlan and Charilaos Efthymiou University of Warwick, Mathematics and Computer Science, Coventry CV4 7AL, UK fa.coja-oghlan,[email protected] Abstract The independence number of a sparse random graph G(n;m) of average degree d = 2m=n is well-known to be (G(n;m)) ˘2nln(d)=dwith high probability. WebNov 2, 2016 · Information-theoretic thresholds from the cavity method. Amin Coja-Oghlan, Florent Krzakala, Will Perkins, Lenka Zdeborova. Vindicating a sophisticated but non-rigorous physics approach called the cavity method, we establish a formula for the mutual information in statistical inference problems induced by random graphs and we …
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WebFeb 23, 2024 · Coja-Oghlan A., Perkins W.: Belief Propagation on replica symmetric random factor graph models. Annales de l’Institut Henri Poincare D 5, 211–249 (2024) Article MathSciNet MATH Google Scholar Coja-Oghlan A., Perkins W., Skubch K.: Limits of discrete distributions and Gibbs measures on random graphs. Eur. J. Comb. WebAmin Coja-Oghlan's 148 research works with 2,582 citations and 3,997 reads, including: Metastability of the Potts Ferromagnet on Random Regular Graphs how to add preset to reshade
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WebOct 26, 2024 · We prove that a formula predicted on the basis of non-rigorous physics arguments [Zdeborová and Krzakala: Phys. Rev. E (2007)] provides a lower bound on the chromatic number of sparse random graphs. The proof is based on the interpolation method from mathematical physics. In the case of random regular graphs the lower bound can be … WebApr 23, 2024 · In a previous paper Ayre, Coja-Oghlan, Gao and Müller 7 applied the Aizenman–Sims–Starr scheme to the study of sparse random matrices with precisely k $$ k $$ nonzero entries per row as in Example 1.8, over finite fields. The present paper goes beyond that earlier contribution in two crucial ways. WebPartial answers were obtained by Coja-Oghlan, Moore, Sanwalani, and Taraz [5,6], who pre-sented algorithms that approximate ˜(G n;p) within a factor of r= O(p np) in polynomial expected time if p c 0=nfor a sufficiently large constant c … methyl ethyl propyl chart