Computational Complexity of Topological Invariants
2014 ◽
Vol 58
(1)
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pp. 27-32
Keyword(s):
Np Hard
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AbstractWe answer the following question posed by Lechuga: given a simply connected spaceXwith bothH*(X; ℚ) and π*(X) ⊗ ℚ being finite dimensional, what is the computational complexity of an algorithm computing the cup length and the rational Lusternik—Schnirelmann category ofX?Basically, by a reduction from the decision problem of whether a given graph isk-colourable fork≥ 3, we show that even stricter versions of the problems above are NP-hard.
Keyword(s):
Keyword(s):
2004 ◽
Vol 20
(6)
◽
pp. 1131-1134
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2007 ◽
Vol 21
(04)
◽
pp. 791-807
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