The computational complexity of classical knot recognition

被引：0

作者：

Ichihara, Kazuhiro ^{[1
]}

Nishimura, Yuya ^{[2
]}

Tani, Seiichi ^{[3
]}

机构：

[1] Nihon Univ, Coll Humanities & Sci, Dept Math, 3-25-40 Sakurajosui, Tokyo, Tokyo 1568550, Japan

[2] Hiroshima Univ, Grad Sch Adv Sci & Engn, 1-3-1 Kagamiyama, Higashi Hiroshima City, Hiroshima 7398526, Japan

[3] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, 3-25-40 Sakurajosui,Setagaya Ku, Tokyo 1568550, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2023年 / 32卷 / 11期

关键词：

Virtual knots; computational complexity; algorithms; 3-MANIFOLD; ALGORITHMS; TOPOLOGY; REGINA;

D O I：

10.1142/S0218216523500694

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical knot recognition problem is the problem of determining whether the virtual knot represented by a given diagram is classical. We prove that this problem is in NP, and we give an exponential time algorithm for the problem.

引用

页数：68

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