کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4598921 | 1631110 | 2015 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convexity of tropical polytopes
ترجمه فارسی عنوان
غشاء چند قطبی گرمسیری
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
We study the relationship between min-plus, max-plus and Euclidean convexity for subsets of RnRn. We introduce a construction which associates to any max-plus convex set with compact projectivisation a canonical matrix called its dominator. The dominator is a Kleene star whose max-plus column space is the min-plus convex hull of the original set. We apply this to show that a set which is any two of (i) a max-plus polytope, (ii) a min-plus polytope and (iii) a Euclidean polytope must also be the third. In particular, these results answer a question of Sergeev, Schneider and Butkovič [16] and show that row spaces of tropical Kleene star matrices are exactly the “polytropes” studied by Joswig and Kulas [13].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 485, 15 November 2015, Pages 531–544
Journal: Linear Algebra and its Applications - Volume 485, 15 November 2015, Pages 531–544
نویسندگان
Marianne Johnson, Mark Kambites,