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An existence theorem of a unique completely labeled simplex of type Ⅱ
作者姓名:GUOBao-lin
作者单位:CollegeofInformationEngineering,DalianUniversity,LiaoningDalian116622
基金项目:The Doctoral Program Foundation of Dalian University
摘    要:<正> For a simplex P in the strong standardform,the Labeling Rule precludesthe possibility of coexistence for acompletely labeled simplex of typeand Ⅱ1].Inthis paper,a sufficient condition isgiven,in which P does not contain an integralpoint. Further,a new existencetheorem of a unique completelylabeled simplex oftype Ⅱ in R2 is proposed,while P dose not contain anintegral point.

关 键 词:线性规划  存在性定理  标号规则  唯一性

An existence theorem of a unique completely labeled simplex of type II
GUOBao-lin.An existence theorem of a unique completely labeled simplex of type II[J].Journal of Dalian University,2002,23(6):73-79.
Authors:GUO Bao-lin
Abstract:For a simplex P in the strong standard form, the Labeling Rule precludes the possibility of coexistence for a completely labeled simplex of type I and II1]. In this paper, a sufficient condition is given, in which P does not contain an integral point. Further, a new existence theorem of a unique completely labeled simplex of type II in R2 is proposed, while P dose not contain an integral point.
Keywords:simplex  labeling rule  completely labeled simplex
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