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Inapproximability of the independent set polynomial in the complex plane

Abstract:

We study the complexity of approximating the value of the independent set polynomial ZG(λ) of a graph G with maximum degree Δ when the activity λ is a complex number. When λ is real, the complexity picture is well-understood, and is captured by two real-valued thresholds λ* and λc, which depend on Δ and satisfy 0<λ*<λc. It is known that if λ is a real number in the interval (−λ*,λc) then there is an FPTAS for approximating ZG(λ) on graphs G with maximum degree at most Δ. On the other h...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1145/3188745.3188788

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
Publisher:
Association for Computing Machinery Publisher's website
Host title:
STOC 2018 Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing
Journal:
STOC 2018 TheoryFest Journal website
Pages:
1234-1240
Publication date:
2018-06-20
Acceptance date:
2018-02-09
DOI:
ISBN:
9781450355599
Keywords:
Pubs id:
pubs:824707
UUID:
uuid:6de03289-cdb1-4b07-88db-6b4c0b8cb234
Local pid:
pubs:824707
Source identifiers:
824707
Deposit date:
2018-02-15

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