Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775774 | Applied Mathematics and Computation | 2017 | 10 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rashid Farooq, Mehtab Khan, Faiz Ahmad,