کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598568 1631088 2016 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Refined inertias of strongly connected orientations of the Petersen graph
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Refined inertias of strongly connected orientations of the Petersen graph
چکیده انگلیسی

The 18 non-isomorphic strongly connected orientations of the Petersen graph give rise to matrix patterns in which nonzero entries can be taken to be strictly positive, of arbitrary sign, or of fixed sign. The allowed refined inertias, in which the number of zero eigenvalues is split from others on the imaginary axis, are considered for each such pattern. Each nonnegative pattern is shown to have unique refined inertia determined by the number of required zero eigenvalues. For zero–nonzero patterns, a complete list of allowed refined inertias is given for each orientation. One particular sign pattern is presented that allows only two distinct refined inertias out of a possible 161 for a sign pattern of order 10.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 507, 15 October 2016, Pages 322–343
نویسندگان
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