A faster FPTAS for counting two-rowed contingency tables

Tzvi Alon; Nir Halman

doi:10.1016/j.dam.2020.05.036

A faster FPTAS for counting two-rowed contingency tables

Tzvi Alon, Nir Halman

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper we provide a deterministic fully polynomial time approximation scheme (FPTAS) for counting two-rowed contingency tables that is faster than any either deterministic or randomized approximation scheme for this problem known to date. Our FPTAS is derived via a somewhat sophisticated usage of the method of K-approximation sets and functions introduced by Halman et al. (2009).

Original language	English
Pages (from-to)	161-170
Number of pages	10
Journal	Discrete Applied Mathematics
Volume	303
DOIs	https://doi.org/10.1016/j.dam.2020.05.036
State	Published - 15 Nov 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Funding

Supported in part by the Israel Science Foundation, Grant No. 399/17.Supported in part by the Israel Science Foundation, Grant No. 399/17 and the United States-Israel Binational Science Foundation, Grant No. 2018095.

Funders	Funder number
United States-Israel Binational Science Foundation	2018095
Israel Science Foundation	399/17

Keywords

Contingency tables
Dynamic programming
K-approximation sets and functions

Access to Document

10.1016/j.dam.2020.05.036

Cite this

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AB - In this paper we provide a deterministic fully polynomial time approximation scheme (FPTAS) for counting two-rowed contingency tables that is faster than any either deterministic or randomized approximation scheme for this problem known to date. Our FPTAS is derived via a somewhat sophisticated usage of the method of K-approximation sets and functions introduced by Halman et al. (2009).

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A faster FPTAS for counting two-rowed contingency tables

Abstract

Bibliographical note

Funding

Keywords

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