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Drawing (Complete) Binary Tanglegrams. from books.google.com
... binary TL is our motivation to investigate the complexity of complete binary TL. It turns out that even this special case is hard. Unlike Fernau et al. [7] who show hardness of binary TL by ... Drawing (Complete) Binary Tanglegrams 329.
Drawing (Complete) Binary Tanglegrams. from books.google.com
... binary tanglegrams : algorithms and applications . In : Rajasekaran , S. ( ed . ) BICOB 2009. LNCS , vol . 5462 , pp ... ( complete ) binary tanglegrams . Algorithmica 62 ( 1–2 ) , 309–332 ( 2012 ) 5. Calamoneri , T. , Di Donato , V ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... Tanglegram Layout problem from O(cknO(1)) with c≈ 1024 [4] to O(2kn4), where k is the minimum number of crossings in a drawing, we managed to make fixed-parameter algorithms applicable for sizes that are interesting for visualization ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... tanglegram drawing of size n for which the optimal drawing produced by seesawing has ( n2 ) more crossings than an optimal drawing . We call a drawing that can't be improved by seesawing seesaw - optimal . We prove the theorem ( in [ 28 ] ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... Drawing ( Complete ) binary tanglegrams . Algorithmica 62 ( 1 ) , 309-332 ( 2012 ) 8. Chimani , M. , Hungerländer , P. , Jünger , M. , Mutzel , P .: An SDP approach to multi - level crossing minimization . In : Müller - Hannemann , M ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... Drawing ( Complete ) Binary Tanglegrams : Hardness , Approximation , Fixed - Parameter Tractability . In : Graph Drawing ( 2008 ) 3. Dietz , P.F .: Optimal algorithms for list indexing and subset rank . In : Dehne , F. , Santoro , N ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... Drawing (complete) binary tanglegrams. Algorithmica 62(1–2), 309–332 (2012). https://doi.org/10.1007/s00453-010-9456-3 6. Calamoneri, T., Monti, A., Sinaimeri, B.: Co-divergence and tree topology. J. Math. Biol. 79(3), 1149–1167 (2019) ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... drawing tanglegrams with non - binary trees . Fernau et al . [ 5 ] showed the NP - hardness of tanglegram layout ... complete binary trees with n leaves each , this gives rise to 2 ( n - 1 ) variables . If x1 = 1 , the subtree ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... binary tanglegrams. References. 1. Aspvall, B., Plass, M.F., Tarjan, R.E.: A linear-time algorithm for testing the ... Drawing (complete) binary tanglegrams: Hardness, approximation, fixed- parameter tractability. In: Tollis, I.G. ...
Drawing (Complete) Binary Tanglegrams. from books.google.com
... drawing Γ of G with ww(Γ) = k⋆ and xΓ (a) = ξ A (a) for each a ∈ A that also produces a corresponding solution ... (complete) binary tanglegrams. Algorithmica 62(1–2), 309–332 (2012). https://doi.org/10.1007/s00453-010-9456-3 2 ...