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We investigate the famous conjecture by Erd\H os-Simonovits and Sidorenko using information theory.
G.R. Blakley, P.A. Roy, A Hölder type inequality for symmetric matrices with nonnegative entries, Proc. Amer. Math. Soc
1965
Earlier work this paper cites.
M. Simonovits, Extremal graph problems, degenerate extremal problems and super-saturated graphs, in “Progress in Graph Theory (Waterloo, Ont., 1982)”, Academic Press, Toronto, ON (1984), 419-437
1984
Earlier work this paper cites.
I. Benjamini, Y. Peres, A correlation inequality for tree-indexed Markov chains, in “Seminar of Stochastic Processes, Proc. Semin., Los Angeles/CA (USA) 1991”
1991
Earlier work this paper cites.
A.F Sidorenko, A correlation inequality for bipartite graphs, Graphs Combin
1993
Earlier work this paper cites.
L. Lovász, B. Szegedy, Limits of dense graph sequences, J. of Combinatorial Theory B
2006
Cited alongside, same era.
H. Hatami, Graph norms and Sidorenko’s conjecture, Israel J. Math
2010
Cited alongside, same era.
D. Conlon, J. Fox, B. Sudakov, An approximate version of Sidorenko’s conjecture, GAFA
2010
Cited alongside, same era.
X. Li, B. Szegedy, On the logarithmic calculus and Sidorenko’s conjecture, to appear
Cited in the paper.
J.H.Kim, C. Lee, J. Lee, Two approaches to Sidorenko’s conjecture, Arxiv 1310.4383
Cited in the paper.
J. Fox, B. Sudakov, Dependent random choice, Random Structures Algorithms
Cited in the paper.
H. Hatami, Serguei Norine, Undecidability of linear inequalities in graph homomorphism densities, J. Amer. Math. Soc
2011
Later among the works it cites.
Swastik Kopparty, Benjamin Rossman, The Homomorphism Domination Exponent, European J. of Comb
2011
Later among the works it cites.
L. Lovász, Subgraph Densities in Signed Graphons and the local Simonovits-Sidorenko conjecture, Electronic J. of Comb
2011
Later among the works it cites.
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