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Computer Science > Computational Complexity
[Submitted on 31 Mar 2014]
Recent advances on the log-rank conjecture in communication complexity
Shachar Lovett
The log-rank conjecture is one of the fundamental open problems in communication complexity. It speculates that the deterministic communication complexity of any two-party function is equal to the log of the rank of its associated matrix, up to polynomial factors. Despite much research, we still know very little about this conjecture. Recently, there has been renewed interest in this conjecture and its relations to other fundamental problems in complexity theory. This survey describes some of the recent progress, and hints at potential directions for future research.
Comments:
arXiv admin note: text overlap with arXiv:1306.1877
Subjects:
Computational Complexity (cs.CC); Combinatorics (math.CO)
MSC classes:
68Q10
ACM classes:
F.1.2; F.2.2
Journal reference:
Lovett, Shachar. “Recent advances on the log-rank conjecture in communication complexity.” Bulletin of EATCS 1.112 (2014)
Cite as:
arXiv:1403.8106 [cs.CC]
(or arXiv:1403.8106v1 [cs.CC] for this version)
Submission history
From: Shachar Lovett [view email]
[v1] Mon, 31 Mar 2014 17:55:55 UTC (15 KB)
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