Recognizing Shortest-Path Trees in Linear Time

Abstract

Consider that T is a given spanning tree of an undirected graph G which contains n vertices and m edges. A shortest-path tree of graph G is a rooted spanning tree of G such that, from the root to any vertex, the path going along only tree edges is a shortest path. In this paper, an O(m + n&time algorithm is proposed to determine whether T is a shortest-path… (More)
DOI: 10.1016/0020-0190(94)00126-X

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