首页    期刊浏览 2024年11月23日 星期六
登录注册

文章基本信息

  • 标题:Total energy of signed digraphs
  • 本地全文:下载
  • 作者:Sumaira Hafeez ; Mehtab Khan
  • 期刊名称:Computer Science Journal of Moldova
  • 印刷版ISSN:1561-4042
  • 出版年度:2021
  • 卷号:29
  • 期号:1(85)
  • 页码:105-134
  • 语种:English
  • 出版社:Institute of Mathematics and Computer Science
  • 摘要: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 $S_{n,h}$, where $S_{n,h}$ contains $n$-vertex sidigraphs with each cycle having length $h$. Using the Cauchy-Schwarz inequality, we find upper bound for the total energy of sidigraphs. Finally, we find the class of noncospectral equienergetic sidigraphs.
  • 关键词:Signed Digraphs;Total energy;Increasing prop- erty;T-equienergetic sidigraphs.
国家哲学社会科学文献中心版权所有