An evolutionary formulation of the crossing number problem

Gan, Che Sheng and Alan Tan, Wee Chiat and Koo, Voon Chet and Mak, Kwang Hwai (2009) An evolutionary formulation of the crossing number problem. Discrete Dynamics in Nature and Society, 2009. pp. 1-10. ISSN 1026-0226

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Official URL: http://dx.doi.org/10.1155/2009/154015

Abstract

A graph drawing algorithm is presented which results in complete graphs having minimum crossings equal to that of Guy's conjecture. It is then generalized and formulated in an evolutionary algorithm (EA) to perform constrained search for the crossing numbers. The main objective of this work is to present a suitable two-dimensional scheme which can greatly reduce the complexity of finding crossing numbers by using computer. Program performance criteria are presented and discussed. It is shown that the EA implementation provides good confirmation of the predicted crossing numbers.

Item Type: Article
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Engineering and Technology (FET)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 20 Dec 2013 03:09
Last Modified: 20 Dec 2013 03:09
URI: http://shdl.mmu.edu.my/id/eprint/4624

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