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arxiv: math/0407168 · v1 · submitted 2004-07-09 · 🧮 math.CO

Isometric-path numbers of block graphs

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keywords isometric-pathblockgraphsisometricnumbernumberspathpaths
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An isometric path between two vertices in a graph G is a shortest path joining them. The isometric-path number of G, denoted by ip(G), is the minimum number of isometric paths required to cover all vertices of G. In this paper, we determine exact values of isometric-path numbers of block graphs. We also give a linear-time algorithm for finding the corresponding paths.

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