International Journal of Computer Network and Information Security(IJCNIS)

ISSN: 2074-9090 (Print), ISSN: 2074-9104 (Online)

Published By: MECS Press

IJCNIS Vol.3, No.3, Apr. 2011

An Algebraic Method for the N-Queens Problem Based on Permutation Operation Group

Full Text (PDF, 142KB), PP.19-25

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Jun Zhang,Zili Zhang

Index Terms

N-Queens problem; Permutation operations; Orbit operations; Orbit signature; Search algorithm


To analyze N-Queens problem in permutation space, this paper defines isomorphic operations of permutation to dihedral group D4. With these operations to find elements within an orbit, two operations on orbits are also defined to generate new orbit from existing ones. Orbit signature is proposed to uniquely identify different orbits in orbit space. A search algorithm based on orbit signature is presented, and finally the effectiveness of the algorithm is illustrated by an example.

Cite This Paper

Jun Zhang,Zili Zhang,"An Algebraic Method for the N-Queens Problem Based on Permutation Operation Group", IJCNIS, vol.3, no.3, pp.19-25, 2011.


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