A Linear Algorithm for the Cutting Center of a Tree

نویسندگان

  • Frank Harary
  • Peter J. Slater
چکیده

As a measure of the extent to which the removal of a node disconnects a graph, the cutting number c(v) of a node v in a connected graph G has been defined to be the number of pairs of nodes in different components of G {v}. We present a linear algorithm for determining c(v) for all nodes of a tree, and hence for identifying the cutting center, which consists of the nodes v at which c(v) is maximized.

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عنوان ژورنال:
  • Inf. Process. Lett.

دوره 23  شماره 

صفحات  -

تاریخ انتشار 1986