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  • 1
    Electronic Resource
    Electronic Resource
    Hereditary modular graphs (1988)
    Springer
    Combinatorica 8 (1988), S. 149-157 
    Details
    ISSN: 1439-6912
    Keywords: 05C38
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In a hereditary modular graphG, for any three verticesu, v, w of an isometric subgraph ofG, there exists a vertex of this subgraph that is simultaneously on some shortestu, v-path,u, w-path andv, w-path. It is shown that the hereditary modular graphs are precisely those bipartite graphs which do not contain any isometric cycle of length greater than four. There is a polynomial-time algorithm available which decides whether a given (bipartite) graph is hereditary modular or not. Finally, the chordal bipartite graphs are characterized by forbidden isometric subgraphs.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02122796
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