Conţinutul numărului revistei 
Articolul precedent 
Articolul urmator 
157 1 
Ultima descărcare din IBN: 20210429 10:51 
Căutarea după subiecte similare conform CZU 
529.6+004.891 (1) 
Astronomy. Astrophysics. Space research. Geodesy (218) 
Artificial intelligence (194) 
SM ISO690:2012 HAFEEZ, Sumaira; KHAN, Mehtab. Total energy of signed digraphs. In: Computer Science Journal of Moldova. 2021, nr. 1(85), pp. 105134. ISSN 15614042. 
EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core 
Computer Science Journal of Moldova  
Numărul 1(85) / 2021 / ISSN 15614042  


CZU: 529.6+004.891  
MSC 2010: 05C35, 05C50.  
Pag. 105134 



Descarcă PDF  
Rezumat  
The energy of a sidigraph is defined as the sum of absolute values of real parts of its eigenvalues. The iota energy of a sidigraph is defined as the sum of absolute values of imaginary parts of its eigenvalues. Recently a new notion of energy of digraphs is introduced which is called the total energy of digraphs. In this paper, we extend this concept of total energy to sidigraphs. We compute total energy formulas for negative directed cycles and show that the total energy of negative directed cycles with fixed order increases monotonically. We introduce complex adjacency matrix to give the integral representation for total energy of sidigraphs. We discuss the increasing property of total energy over some particular subfamilies of Sn,h, where Sn,h contains nvertex sidigraphs with each cycle having length h. Using the CauchySchwarz inequality, we find upper bound for the total energy of sidigraphs. Finally, we find the class of noncospectral equienergetic sidigraphs. 

Cuvintecheie Signed Digraphs, Total energy, Increasing property, Tequienergetic sidigraphs 

