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Browsing by Author "Pan, Jun-Jie"

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    Isometric path numbers of graphs
    (2006-09-06)
    Pan, Jun-Jie
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    Chang, Gerard J.
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    應用數學系
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    Department of Applied Mathematics
    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 needed to cover all vertices of G. In this paper, we determine exact values of isometric path numbers of complete r-partite graphs and Cartesian products of 2 or 3 complete graphs. (c) 2006 Elsevier B.V. All rights reserved.