Algorithmic topology, or computational topology, is a subfield of topology with an overlap with areas of computer science, in particularâ€¦Â (More)

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Review

2017

Review

2017

- Ã‰ric Colin de VerdiÃ¨re
- ArXiv
- 2017

This chapter surveys computational topology results in the special, low-dimensional case where the ambient space is a surfaceâ€¦Â (More)

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2014

2014

Computational topology is a set of algorithmic methods developed to understand topological invariants such as loops and holes inâ€¦Â (More)

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2012

2012

- Hubert Wagner, Pawel Dlotko, Marian Mrozek
- CTIC
- 2012

In this paper we present our ongoing research on applying computational topology to analysis of structure of similarities withinâ€¦Â (More)

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2008

2008

- Afra Zomorodian
- 2008

According to the Oxford English Dictionary, the word topology is derived of topos (tÃ¬po ) meaning place, and -logy (logia), aâ€¦Â (More)

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2006

2006

- Kinetsu Abe, Justin Bisceglio, David R. Ferguson, Thomas J. Peters, Alexander Russell, Takis Sakkalis
- Theor. Comput. Sci.
- 2006

New computational topology techniques are presented for surface reconstruction of 2-manifolds with boundary, while rigorousâ€¦Â (More)

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2003

2003

- Nina Amentaa, Thomas J. Petersb, Alexander C. Russellb
- 2003

A fundamental issue in theoretical computer science is that of establishing unambiguous formal criteria for algorithmic outputâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

The authors of this article believe there is or should be a research area appropriately referred to as computa tional topologyâ€¦Â (More)

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1999

1999

- Marshall W. Bern, David Eppstein, +19 authors Denis Zorin
- ArXiv
- 1999

Here we present the results of the NSF-funded Workshop on Computational Topology, which met on June 11 and 12 in Miami Beachâ€¦Â (More)

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1998

1998

We reformulate the notion of connectedness for compact metric spaces in a manner that may be implemented computationally. Inâ€¦Â (More)

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1972

1972

- George Tourlakis, John Mylopoulos
- SWAT
- 1972

It is the object of this paper to study the topological properties of finite graphs that can be embedded in the <italic>n</italicâ€¦Â (More)

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