Maximum order of trees and bipartite graphs with a given rank

نویسندگان

  • Ebrahim Ghorbani
  • Ali Mohammadian
  • Behruz Tayfeh-Rezaie
چکیده

The rank of a graph is that of its adjacency matrix. A graph is called reduced if it has no isolated vertices and no two vertices with the same set of neighbors. We determine the maximum order of reduced trees as well as bipartite graphs with a given rank and characterize those graphs achieving the maximum order.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 312  شماره 

صفحات  -

تاریخ انتشار 2012