کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599087 1631120 2015 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
All pairs suffice for a P-set
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
All pairs suffice for a P-set
چکیده انگلیسی

A P-set of a symmetric matrix A is a set α of indices such that the nullity of the matrix obtained from A by removing rows and columns indexed by α   is |α||α| more than the nullity of A. It is known that each subset of a P-set is a P-set. It is also known that a set of indices such that each singleton subset is a P-set need not be a P-set. This note shows that if all pairs of vertices of a set with at least two elements are P-sets, then the set is a P-set.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 475, 15 June 2015, Pages 114–118
نویسندگان
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