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Improved Distance Queries and Cycle Counting by Frobenius Normal Form

Consider an unweighted, directed graph G with the diameter D. In this paper, we introduce the framework for counting cycles and walks of given length in matrix multiplication time [Formula: see text] . The framework is based on the fast decomposition into Frobenius normal form and the Hankel matrix-...

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Detalles Bibliográficos
Autores principales: Sankowski, Piotr, Węgrzycki, Karol
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6647240/
https://www.ncbi.nlm.nih.gov/pubmed/31396014
http://dx.doi.org/10.1007/s00224-018-9894-x