کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5775774 1631753 2017 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Extremal iota energy of bicyclic digraphs
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Extremal iota energy of bicyclic digraphs
چکیده انگلیسی
The energy of an n-vertex digraph D is defined by E(D)=∑k=1n|Re(zk)|, where z1,…,zn are eigenvalues of D and Re(zk) is the real part of eigenvalue zk. Very recently, a new type of energy of digraphs has been introduced, which is known as the iota energy of digraphs. The iota energy of the digraph D is defined by Ec(D)=∑k=1n|Im(zk)|, where z1,…,zn are eigenvalues of D and Im(zk) is the imaginary part of eigenvalue zk. The unicyclic digraphs with extremal iota energy are known. In this paper, we consider a class Dn of n-vertex bicyclic digraphs with vertex-disjoint directed cycles and find the digraphs in Dn with minimal and maximal iota energy.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 303, 15 June 2017, Pages 24-33
نویسندگان
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