Simplicial homology

In algebraic topology, simplicial homology formalizes the idea of the number of holes of a given dimension in a simplicial complex. This generalizes… (More)
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Papers overview

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2016
2016
We prove the NP-hardness of computing homology groups of simplicial complexes when the size of the input complex is measured by… (More)
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2015
2015
Simplicial homology is a tool that provides a mathematical way to compute the connectivity and the coverage of a cellular network… (More)
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2015
2015
In this paper we compute the simplicial homology groups of some digital surfaces. 
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2015
2015
Energy saving is one of the most investigated problems in wireless networks. In this paper, we introduce two homology based… (More)
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2014
2014
Given a Poisson process on a d-dimensional torus, its random geometric simplicial complex is the complex whose vertices are the… (More)
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2014
2014
We consider the problem of efficiently computing homology with Z coefficients as well as homology generators for simplicial… (More)
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2013
2013
In this article we give characteristic properties of the simplicial homology groups of digital images which are based on the… (More)
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2013
2013
We study the effect of edge contractions on simplicial homology because these contractions have turned to be useful in various… (More)
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Highly Cited
2005
Highly Cited
2005
We describe simple greedy algorithms to construct the shortest set of loops that generates either the fundamental group (with a… (More)
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1991
1991
We introduce a notion of crossed simplicial group, which generalizes Connes' notion of the cyclic category. We show that this… (More)
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