Optimal (parallel) vertices distance algorithms for the all-to-all problem for certain graph classes

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Abstract

We present sequential O(n2) time algorithms and optimal logarithmic time algorithms to compute the all to all vertices distances in strongly chordal graphs, distance hereditary graphs, path graphs, and permutation graphs.

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Dahlhaus, E. (1993). Optimal (parallel) vertices distance algorithms for the all-to-all problem for certain graph classes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 657 LNCS, pp. 60–69). Springer Verlag. https://doi.org/10.1007/3-540-56402-0_36

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