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Constrained Multili...
Constrained Multilinear Detection and Generalized Graph Motifs
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- Björklund, Andreas (författare)
- Lund University,Lunds universitet,Institutionen för datavetenskap,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Computer Science,Departments at LTH,Faculty of Engineering, LTH
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Kaski, Petteri (författare)
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Kowalik, Lukasz (författare)
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(creator_code:org_t)
- 2015-03-04
- 2016
- Engelska.
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Ingår i: Algorithmica. - : Springer Science and Business Media LLC. - 0178-4617 .- 1432-0541. ; 74:2, s. 947-967
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- We introduce a new algebraic sieving technique to detect constrained multilinear monomials in multivariate polynomial generating functions given by an evaluation oracle. The polynomials are assumed to have coefficients from a field of characteristic two. As applications of the technique, we show an O^∗(2^k)-time polynomial space algorithm for the k-sized Graph Motif problem. We also introduce a new optimization variant of the problem, called Closest Graph Motif and solve it within the same time bound. The Closest Graph Motif problem encompasses several previously studied optimization variants, like Maximum Graph Motif, Min-Substitute Graph Motif, and Min-Add Graph Motif. Finally, we provide a piece of evidence that our result might be essentially tight: the existence of an O^∗((2−ϵ)^k)-time algorithm for the Graph Motif problem implies an O((2−ϵ′)^n)-time algorithm for Set Cover.
Ämnesord
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
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