A sequence d of integers is a degree sequence if there exists a (simple) graph G such that the components of d are equal to the degrees of the vertices of G. The graph G is said to be a realization of d. We provide an efficient parallel algorithm to realize d. Before our result, it was not known if the problem of realizing d is in NC.
CITATION STYLE
Arikati, S., & Maheshwari, A. (1994). Realizing degree sequences in parallel. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 834 LNCS, pp. 261–269). Springer Verlag. https://doi.org/10.1007/3-540-58325-4_189
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