Lower bounds for the modular communication complexity of various graph accessibility problems
Identifieur interne : 002E54 ( Main/Merge ); précédent : 002E53; suivant : 002E55Lower bounds for the modular communication complexity of various graph accessibility problems
Auteurs : Christoph Meinel [Allemagne] ; Stephan WaackSource :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 1995.
Abstract
Abstract: We investigate the modular communication complexity of the graph accessibility problem GAP and its modular counting versions MODk-GAP, k≥2. Due to arguments concerning variation ranks and certain projection reductions, we prove that, for any partition of the input variables and for any moduls k and m, GAP and MODk-GAP have MOD m -communication complexity Ω(n), where n denotes the number of nodes of the graphs under consideration.
Url:
DOI: 10.1007/3-540-59175-3_107
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<front><div type="abstract" xml:lang="en">Abstract: We investigate the modular communication complexity of the graph accessibility problem GAP and its modular counting versions MODk-GAP, k≥2. Due to arguments concerning variation ranks and certain projection reductions, we prove that, for any partition of the input variables and for any moduls k and m, GAP and MODk-GAP have MOD m -communication complexity Ω(n), where n denotes the number of nodes of the graphs under consideration.</div>
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