کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4603541 1336964 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The base sets of primitive zero-symmetric sign pattern matrices
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The base sets of primitive zero-symmetric sign pattern matrices
چکیده انگلیسی

In [J.Y. Shao, L.H. You, Bound on the base of irreducible generalized sign pattern matrices, Discrete Math., in press], Shao and You extended the concept of the base from powerful sign pattern matrices to non-powerful (and generalized) sign pattern matrices. In this paper, we study the bases of primitive zero-symmetric sign pattern (and generalized sign pattern) matrices. Sharp upper bounds of the bases are obtained. We also show that there exist no “gaps” in the base sets of the classes of such matrices.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 428, Issue 4, 1 February 2008, Pages 715-731