منابع مشابه
Finding minimum Tucker submatrices
A binary matrix has the Consecutive Ones Property (C1P) if its columns can be ordered in such a way that all 1s on each row are consecutive. These matrices are used for DNA physical mapping and ancestral genome reconstruction in computational biology on the other hand they represents a class of convex bipartite graphs and are of interest of algorithm graph theory researchers. Tucker gave a forb...
متن کاملOctahedral Tucker is PPA-Complete
The Octahedral Tucker problem considers an n-dimensional hypergrid of side length two, centered at the origin, triangulated by connecting the origin to all outside vertices (applied recursively on each of the lower dimensional hypergrids passing through their origins at the corresponding reduced dimensions). Each vertex is assigned a color in ±i : i = 1, 2, ..., n computed using a polynomial si...
متن کامل2D-TUCKER Is PPAD-Complete
Tucker’s lemma states that if we triangulate the unit disc centered at the origin and color the vertices with {1,−1, 2,−2} in an antipodal way (if |z| = 1, then the sum of the colors of z and −z is zero), then there must be an edge for which the sum of the colors of its endpoints is zero. But how hard is it to find such an edge? We show that if the triangulation is exponentially large and the c...
متن کاملAlgorithms for Finding Tucker Patterns
The Consecutive-Ones Property (C1P) in binary matrices is a combinatorial concept with applications in several area, from graph planarity testing to computational biology. Tucker patterns are families of submatrices that characterize non-C1P matrices, and thus represent natural certificates of non-C1P matrices. However, there are very few algorithmic results regarding Tucker patterns. In the pr...
متن کاملAn interview with Abigail Tucker.
Abigail Tucker is a professor at King's College London, UK and her lab works on various aspects of craniofacial development - from basic, evolutionary and clinical biology perspectives. This year, Abigail will be awarded the first Cheryll Tickle Medal by the British Society for Developmental Biology (BSDB). We chatted with Abigail about her research, her commitment to public engagement and the ...
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ژورنال
عنوان ژورنال: Kwartalnik Filmowy
سال: 2020
ISSN: 2719-2725,0452-9502
DOI: 10.36744/kf.361