Title :
Interpolation theorem for the number of generalized end-vertices of spanning trees
Author :
Cho, Hwan-Gue ; Chwa, Kyung-yong
Author_Institution :
Dept. of Comput. Sci., Pusan Nat. Univ., South Korea
fDate :
1/1/1991 12:00:00 AM
Abstract :
The concept of end-vertex is generalized by defining the k-end-vertex, where the end-vertex of G is the 1-end-vertex of G. It is then proved that the number of k -end-vertices of spanning trees of a graph G has the interpolation property for every positive integer k. This is a generalization of S. Schuster´s (1983) interpolation theorem
Keywords :
interpolation; trees (mathematics); end-vertex; generalized end-vertices; graph; interpolation theorem; spanning trees; Biology computing; Clustering algorithms; Image analysis; Image processing; Interpolation; Partitioning algorithms; Pattern analysis; Pattern recognition; Tree graphs; Very large scale integration;
Journal_Title :
Circuits and Systems, IEEE Transactions on