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Isometric-path numbers of block graphs

Jun-Jie Pand·Gerard J. Chang
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Abstract

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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Jun-Jie Pand, Gerard J. Chang. 2004-07-09. Isometric-path numbers of block graphs. https://arxiv.org/abs/math/0407168

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