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
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
The energy of an n-vertex digraph D is defined by E(D)=âk=1n|Re(zk)|, where z1,â¦,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)=âk=1n|Im(zk)|, where z1,â¦,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
Journal: Applied Mathematics and Computation - Volume 303, 15 June 2017, Pages 24-33
نویسندگان
Rashid Farooq, Mehtab Khan, Faiz Ahmad,