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  • Subquadratic algorithms for the diameter and the sum of pairwise distances in planar graphs
    Cabello, Sergio
    In this article, we show how to compute for ▫$n$▫-vertex planar graphs in ▫$O(n^{11/6} \text{polylog}(n))$▫ expected time the diameter and the sum of the pairwise distances. The algorithms work for ... directed graphs with real weights and no negative cycles. In ▫$O(n^{15/8} \text{polylog}(n))$▫ expected time, we can also compute the number of pairs of vertices at distances smaller than a given threshold. These are the first algorithms for these problems using time ▫$O(n^c)$▫ for some constant ▫$c< 2$▫, even when restricted to undirected, unweighted planar graphs.
    Source: ACM transactions on algorithms. - ISSN 1549-6325 (Vol. 15, no. 2, May 2019, Art. 21 (38 str.))
    Type of material - article, component part
    Publish date - 2019
    Language - english
    COBISS.SI-ID - 18515545

source: ACM transactions on algorithms. - ISSN 1549-6325 (Vol. 15, no. 2, May 2019, Art. 21 (38 str.))
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