کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900657 1631717 2018 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the ordering of bicyclic digraphs with respect to energy and iota energy
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the ordering of bicyclic digraphs with respect to energy and iota energy
چکیده انگلیسی
Let z1,z2,…,zn be eigenvalues of the adjacency matrix of an n-vertex digraph D. Let Re(zk) and Im(zk) denote the real part and the imaginary part of eigenvalue zk, respectively. The energy of an n-vertex digraph D is defined as E(D)=∑k=1n|Re(zk)|. Recently, the concept of energy of digraphs is extended to iota energy of digraphs. The iota energy of an n-vertex digraph D is defined as Ec(D)=∑k=1n|Im(zk)|. In this paper, we investigate the energy and iota energy about a class Dn of n-vertex bicyclic digraphs with vertex-disjoint two directed even cycles and characterize the digraphs in Dn with maximal and minimal energy or iota energy. Moreover, we determine the whole ordering in Dn with respect to energy and iota energy, respectively.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 339, 15 December 2018, Pages 768-778
نویسندگان
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