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恰有2个内度的2维Torus网络的定向图

Jing GUO,Rui-xia WANG

Journal of Yunnan University of Nationalities(Natural Sciences Edition)（2017）

Cited 23|Views2
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Abstract
设G是一个简单图且D是G的一个定向图.若对D中任意顶点x,d-(x)=a或b,则称G是[a,b]可实现的.主要研究了2维Torus网络中[a,b]可实现的充要条件.设H=Torus (p,k)是一个2维Torus网络,其中p和k是2个不小于3且奇偶性相同的正整数.设0≤a,b≤4,则H是[a,b]可实现的当且仅当存在非负整数s和t使得s+t=kp且as+bt=2kp.
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Key words
orientation,in-degree,k-regular graph,2-dimensional Torus networks
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