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k-Strong Shortest Path Union Cover for Certain Graphs and Networks (2104.05975v1)

Published 13 Apr 2021 in math.CO

Abstract: The k-distance strong shortest path union cover of a graph is the minimum cardinality among all strong shortest path union cover at distance k of G. In this paper we determine the 2-strong shortest path union cover for certain graphs, also we prove that the k-strong shortest path union cover problem, in general, is NP-complete.

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