Generalized measures for fault tolerance of star networks

This article shows that, for any integers n and k with 0i¾?ki¾?n-2, at least k+1!n-k-1 vertices or edges have to be removed from an n-dimensional star graph to make it disconnected with no vertices of degree less than k. The result gives an affirmative answer to the conjecture proposed by Wan and Zhang Appl Math Lett 22 2009, 264-267.Copyright © 2014 Wiley Periodicals, Inc. NETWORKS, Vol. 633, 225-230 2014

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