TY - GEN
T1 - Mixing color coding-related techniques
AU - Zehavi, Meirav
N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 2015.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - Narrow sieves, representative sets and divide-and-color are three breakthrough techniques related to color coding, which led to the design of extremely fast parameterized algorithms. We present a novel family of strategies for applying mixtures of them. This includes: (a) a mix of representative sets and narrow sieves; (b) a faster computation of representative sets under certain separateness conditions, mixed with divide-and-color and a new technique, called “balanced cutting”; (c) two mixtures of representative sets and a new technique, called “unbalanced cutting”. We demonstrate our strategies by obtaining, among other results, significantly faster algorithms for k-Internal Out-Branching and Weighted 3-Set k-Packing, and a general framework for speedingup the previous best deterministic algorithms for k-Path, k-Tree, r- Dimensional k-Matching, Graph Motif and Partial Cover.
AB - Narrow sieves, representative sets and divide-and-color are three breakthrough techniques related to color coding, which led to the design of extremely fast parameterized algorithms. We present a novel family of strategies for applying mixtures of them. This includes: (a) a mix of representative sets and narrow sieves; (b) a faster computation of representative sets under certain separateness conditions, mixed with divide-and-color and a new technique, called “balanced cutting”; (c) two mixtures of representative sets and a new technique, called “unbalanced cutting”. We demonstrate our strategies by obtaining, among other results, significantly faster algorithms for k-Internal Out-Branching and Weighted 3-Set k-Packing, and a general framework for speedingup the previous best deterministic algorithms for k-Path, k-Tree, r- Dimensional k-Matching, Graph Motif and Partial Cover.
UR - http://www.scopus.com/inward/record.url?scp=84945569695&partnerID=8YFLogxK
U2 - https://doi.org/10.1007/978-3-662-48350-3_86
DO - https://doi.org/10.1007/978-3-662-48350-3_86
M3 - Conference contribution
SN - 9783662483497
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 1037
EP - 1049
BT - Algorithms – ESA 2015 - 23rd Annual European Symposium, Proceedings
A2 - Bansal, Nikhil
A2 - Finocchi, Irene
PB - Springer Verlag
T2 - 23rd European Symposium on Algorithms, ESA 2015
Y2 - 14 September 2015 through 16 September 2015
ER -