کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5772996 1631062 2017 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Completion of tree metrics and rank 2 matrices
ترجمه فارسی عنوان
تکمیل معیارهای درخت و ماتریس رتبه 2
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی
Motivated by applications to low-rank matrix completion, we give a combinatorial characterization of the independent sets in the algebraic matroid associated to the collection of m×n rank-2 matrices and n×n skew-symmetric rank-2 matrices. Our approach is to use tropical geometry to reduce this to a problem about phylogenetic trees which we then solve. In particular, we give a combinatorial description of the collections of pairwise distances between several taxa that may be arbitrarily prescribed while still allowing the resulting dissimilarity map to be completed to a tree metric.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 533, 15 November 2017, Pages 1-13
نویسندگان
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