Complexity of Operators on Compact Sets
Author(s) -
Xishun Zhao,
Norbert Müller
Publication year - 2008
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2008.03.011
Subject(s) - oracle , connection (principal bundle) , time hierarchy theorem , convex hull , mathematics , projection (relational algebra) , dtime , turing , computational complexity theory , computer science , theoretical computer science , hull , discrete mathematics , turing machine , regular polygon , algorithm , combinatorics , universal turing machine , geometry , marine engineering , engineering , computation , programming language , software engineering
Based on oracle Turing machines, we investigate the computational complexity of operators on compact sets. For the projection and convex hull we are able to show exponential upper and lower bounds as well as a connection to the P=NP problem for special settings
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