On Domination of a Vertex as Exponentially

نویسندگان

  • Aysun Aytaç
  • Betül Atay
چکیده

The assessment of the stability and the vulnerability of complex networks is the important concept while studying of them. In the literature, a sort of measures have been given in order to assessment the stability of systems. And also, some graph-theoretic parameters have been formed to provide formulas which calculate the reliability of a network. In this paper, we study the vulnerability of some cycles and related graphs to the dominating strategy of a vertex, using a measure called exponential domination number which is a new characteristic for graph vulnerability.

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تاریخ انتشار 2017