THE RELATION BETWEEN TOPOLOGICAL ORDERING AND ADJACENCY MATRIX IN DIGRAPHS

نویسندگان

  • N. Delfan Islamic Azad University, Central Tehran Branch, Tehran, Iran. Iran, Islamic Republic of Department of Mathematics
  • T. Rastad Islamic Azad University, Central Tehran Branch, Tehran, Iran. Iran, Islamic Republic of Department of Mathematics
چکیده مقاله:

In this paper the properties of node-node adjacency matrix in acyclic digraphs are considered. It is shown that topological ordering and node-node adjacency matrix are closely related. In fact, first the one to one correspondence between upper triangularity of node-node adjacency matrix and existence of directed cycles in digraphs is proved and then with this correspondence other properties of adjacency matrix in acyclic digraphs are presented.  

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عنوان ژورنال

دوره 2  شماره 1 (WINTER)

صفحات  71- 75

تاریخ انتشار 2012-12-21

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