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We prove that persuasion is an NP-complete problem.

Computational Complexity · Computer Science 2025-07-09 Alban Grastien

We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP-complete.

Group Theory · Mathematics 2014-03-27 O. Kharlampovich , I. G. Lysenok , A. G Myasnikov , N. W. M. Touikan

We claim to resolve the P=?NP problem via a formal argument for P=NP.

Computational Complexity · Computer Science 2007-05-23 Selmer Bringsjord , Joshua Taylor

In this note we introduce a notion of a generically (strongly generically) NP-complete problem and show that the randomized bounded version of the halting problem is strongly generically NP-complete.

Computational Complexity · Computer Science 2016-06-06 Alexei Miasnikov , Alexander Ushakov

We introduce a new decision problem, called Packed Interval Covering (PIC) and show that it is NP-complete.

Computational Complexity · Computer Science 2019-06-11 Abdallah Saffidine , Sébastien Lê Cong , Sophie Pinchinat , François Schwarzentruber

A polynomial algorithm is obtained for the NP-complete linear ordering problem.

Computational Complexity · Computer Science 2007-05-23 Givi Bolotashvili

We investigate the complexity of a puzzle that turns out to be NL-complete.

Computational Complexity · Computer Science 2015-07-13 Holger Petersen

We show that the problem of covering a set of points in the plane with a minimum number of guillotine cuts is NP-complete. To that end, first we present a new NP-completeness proof for the problem of covering points with disjoint line…

Computational Geometry · Computer Science 2026-02-25 Delia Garijo , Alberto Márquez , Rodrigo I. Silveira

NP complete problem is one of the most challenging issues. The question of whether all problems in NP are also in P is generally considered one of the most important open questions in mathematics and theoretical computer science as it has…

Computational Complexity · Computer Science 2015-05-04 Wenhong Tian , GuoZhong Li , Xinyang Wang , Qin Xiong , Yaqiu Jiang

In this article, we discuss the question of whether P equals NP, we do not follow the line of research of many researchers, which is to try to find such a problem Q, and the problem Q belongs to the class of NP-complete, if the problem Q is…

Computational Complexity · Computer Science 2024-03-26 Jian-Gang Tang

The 2-colorable perfect matching problem asks whether a graph can be colored with two colors so that each node has exactly one neighbor with the same color as itself. We prove that this problem is NP-complete, even when restricted to…

Computational Complexity · Computer Science 2023-09-19 Erik D. Demaine , Kritkorn Karntikoon , Nipun Pitimanaaree

We introduce a new -as far as we know- problem, according to which we are asked to match sequences of two digits in matrices having entries among those two digits (but others too) and prove that this problem is NP-complete

Combinatorics · Mathematics 2011-07-05 Nicolaos Matsakis

In this paper, we bring a complete solution to the Ovals problem, as formulated in [3] and [24].

Functional Analysis · Mathematics 2025-04-22 Yacine Chitour , Jochen Denzler , Frédéric Jean , Emmanuel Trélat

We study the quadratic residue problem known as an NP complete problem by way of the prime number and show that a nondeterministic polynomial process does not belong to the class P because of a random distribution of solutions for the…

General Mathematics · Mathematics 2012-12-29 Minoru Fujimoto , Kunihiko Uehara

0-1 Knapsack is a fundamental NP-complete problem. In this article we prove that it remains NP-complete even when the weights of the objects in the packing constraints and their values in the objective function satisfy specific stringent…

Computational Complexity · Computer Science 2009-10-15 Chinmay Karande

Completely solved the equivalence problem for the "`Painleve 34"' equation.

Classical Analysis and ODEs · Mathematics 2014-07-15 Vera V. Kartak

We propose a new approach to solve an NP complete problem by means of stochastic limit.

Quantum Physics · Physics 2007-05-23 Luigi Accardi , Masanori Ohya

In this paper, we prove that optimally solving an $n \times n \times n$ Rubik's Cube is NP-complete by reducing from the Hamiltonian Cycle problem in square grid graphs. This improves the previous result that optimally solving an $n \times…

Computational Complexity · Computer Science 2018-04-30 Erik D. Demaine , Sarah Eisenstat , Mikhail Rudoy

We give a very short proof of the claim in the title.

Combinatorics · Mathematics 2013-11-14 Kyungyong Lee

We introduce QUEENS, a derivative chess problem based on the classical n-queens problem. We prove that QUEENS is NP-complete, with respect to polynomial-time reductions.

Computational Complexity · Computer Science 2007-05-23 Barnaby Martin
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