کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1141849 957095 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A unified interpretation of several combinatorial dualities
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات کنترل و بهینه سازی
پیش نمایش صفحه اول مقاله
A unified interpretation of several combinatorial dualities
چکیده انگلیسی

Several combinatorial structures exhibit a duality relation that yields interesting theorems, and, sometimes, useful explanations or interpretations of results that do not concern duality explicitly. We present a common characterization of the duality relations associated with matroids, clutters (Sperner families), oriented matroids, and weakly oriented matroids. The same conditions characterize the orthogonality relation on certain families of vector spaces. This leads to a notion of abstract duality.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Optimization - Volume 5, Issue 2, May 2008, Pages 337–349
نویسندگان
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