کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4650616 | 1632449 | 2006 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Unimodular modules
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Unimodular modules Unimodular modules](/preview/png/4650616.png)
چکیده انگلیسی
The present publication is mainly a survey paper on the author's contributions on the relations between graph theory and linear algebra. A system of axioms introduced by Ghouila-Houri allows one to generalize to an arbitrary Abelian group the notion of interval in a linearly ordered group and to state a theorem that generalizes two due to A.J. Hoffman. The first is on the feasibility of a system of inequalities and the other is Hoffman's circulation theorem reported in the first Berge's book on graph theory. Our point of view permitted us to prove classical results of linear programming in the more general setting of linearly ordered groups and rings. It also shed a new light on convex programming.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 306, Issues 19–20, 6 October 2006, Pages 2355–2382
Journal: Discrete Mathematics - Volume 306, Issues 19–20, 6 October 2006, Pages 2355–2382
نویسندگان
Paul Camion,