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| 1 | Norm Equalities and Inequalities for Three Circulant Operator Matrices显示文摘In this paper, three new circulant operator matrices, scaled circulant operator matrices,diag-circulant operator matrices and retrocirculant operator matrices, are given respectively. Several norm equalities and inequalities for these operator matrices are proved. We show the special cases for norm equalities and inequalities, such as the usual operator norm and the Schatten p-norm. Pinching type inequality is also given for weakly unitarily invariant norms. These results are closely related to the nice structure of these special operator matrices. Furthermore, some special cases and specific examples are also considered. | Zhao Lin JIANG Yun Cheng QIAO Shu Dong WANG | 2017 | Acta Mathematica Sinica,English Series2017，33，4： | 0 |
| 2 | On the Constant Metric Dimension of Generalized Petersen Graphs P(n,4)显示文摘In this paper,we consider the family of generalized Petersen graphs P(n,4).We prove that the metric dimension of P(n,4) is 3 when n ≡ 0(mod 4),and is 4 when n = 4k + 3(k is even).For n ≡ 1,2(mod 4) and n = 4k + 3(k is odd),we prove that the metric dimension of P(n,4) is bounded above by 4.This shows that each graph of the family of generalized Petersen graphs P(n,4)has constant metric dimension. | Saba NAZ Muhammad SALMAN Usman ALI Imran JAVAID Syed Ahtsham-ul-Haq BOKHARY | 2014 | Acta Mathematica Sinica,English Series2014，30，7： | 0 |
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