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The log-rank conjecture in communication complexity suggests that the deterministic communication complexity of any Boolean rank-r function is bounded by polylog(r).
Extremum problems with inequalities as subsidiary conditions
Fritz John · 1948
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Lattices, möbius functions and communication complexity
László Lovász and Michael E. Saks · 1988
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On rank vs. communication complexity
Noam Nisan and Avi Wigderson · 1995
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The rank and size of graphs
Andrew Kotlov and László Lovász · 1996
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An elementary introduction to modern convex geometry
Keith Ball · 1997
Earlier work this paper cites.
Communication complexity
Eyal Kushilevitz and Noam Nisan · 1997
Cited alongside, same era.
Rank and chromatic number of a graph
Andrei Kotlov · 1997
Cited alongside, same era.
Complexity measures of sign matrices
Nati Linial, Shahar Mendelson, Gideon Schechtman, and Adi Shraibman · 2007
Cited alongside, same era.
An additive combinatorics approach relating rank to communication complexity
Eli Ben-Sasson, Shachar Lovett, and Noga Ron-Zewi · 2012
Cited alongside, same era.
Hamza Fawzi, João Gouveia, Pablo A. Parrilo, Richard Z. Robinson, and Rekha R. Thomas · 2014
Closest in time.
En route to the log-rank conjecture: New reductions and equivalent formulations
Dmitry Gavinsky and Shachar Lovett · 2014
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Communication is bounded by root of rank
Shachar Lovett · 2014
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The Corruption Bound, Log Rank, and Communication Complexity
Adi Shraibman · 2014
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