Bounds for the crossing number of Möbius cubes

Yan Xiaoxia; Yang Yuansheng

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Bounds for the crossing number of Möbius cubes

Yan Xiaoxia #,Yang Yuansheng *

Dalian University of Technology,Department of Computer Science

*Correspondence author

#Submitted by

Subject:

Funding: SRFDP Foundatio（No.200801081017）, NSFC Foundation（No.No.60973014,60803034）

Opened online: 4 November 2011

Accepted by: none

Citation: Yan Xiaoxia,Yang Yuansheng.Bounds for the crossing number of Möbius cubes[OL]. [ 4 November 2011] http://en.paper.edu.cn/en_releasepaper/content/4447423

Direct connect network is widely used in multiprocessors,parallel computer systems,large scale integrated circuit and other areas. Mobius cubes MQn is an important direct connect network. In this paper, we find a good drawing of MQn in the plane with computer algorithm and get better upper bounds for MQn. Also,we give lower bounds for MQn.

Keywords:Drawing; Crossing number; Möbius cube; Interconnection network

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