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Communication Lower Bounds via Critical Block Sensitivity
[article]
2016
arXiv
pre-print
We use critical block sensitivity, a new complexity measure introduced by Huynh and Nordström (STOC 2012), to study the communication complexity of search problems. To begin, we give a simple new proof of the following central result of Huynh and Nordström: if S is a search problem with critical block sensitivity b, then every randomised two-party protocol solving a certain two-party lift of S requires Ω(b) bits of communication. Besides simplicity, our proof has the advantage of generalising
arXiv:1311.2355v2
fatcat:xhrth42o2nbqbaytaol2e34gt4