3,241 research outputs found
Building Efficient and Compact Data Structures for Simplicial Complexes
The Simplex Tree (ST) is a recently introduced data structure that can
represent abstract simplicial complexes of any dimension and allows efficient
implementation of a large range of basic operations on simplicial complexes. In
this paper, we show how to optimally compress the Simplex Tree while retaining
its functionalities. In addition, we propose two new data structures called the
Maximal Simplex Tree (MxST) and the Simplex Array List (SAL). We analyze the
compressed Simplex Tree, the Maximal Simplex Tree, and the Simplex Array List
under various settings.Comment: An extended abstract appeared in the proceedings of SoCG 201
A unifying framework for seed sensitivity and its application to subset seeds
We propose a general approach to compute the seed sensitivity, that can be
applied to different definitions of seeds. It treats separately three
components of the seed sensitivity problem -- a set of target alignments, an
associated probability distribution, and a seed model -- that are specified by
distinct finite automata. The approach is then applied to a new concept of
subset seeds for which we propose an efficient automaton construction.
Experimental results confirm that sensitive subset seeds can be efficiently
designed using our approach, and can then be used in similarity search
producing better results than ordinary spaced seeds
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