Computing the Directed Cartesian-Product Decomposition of a Directed Graph from its Undirected Decomposition in Linear Time - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Discrete Mathematics Year : 2015

Computing the Directed Cartesian-Product Decomposition of a Directed Graph from its Undirected Decomposition in Linear Time

Abstract

In this paper, we design an algorithm that, given a directed graph G and the Cartesian-product decomposition of its underlying undirected graph (G) over tilde, produces the directed Cartesian-product decomposition of G in linear time. This is the first time that the linear complexity is achieved for this problem, which has two major consequences. Firstly, it shows that the directed and undirected versions of the Cartesian-product decomposition of graphs are linear-time equivalent problems. And secondly, as there already exists a linear-time algorithm for solving the undirected version of the problem, combined together, it provides the first linear-time algorithm for computing the directed Cartesian-product decomposition of a directed graph

Dates and versions

hal-01241939 , version 1 (11-12-2015)

Identifiers

Cite

Christophe Crespelle, Eric Thierry. Computing the Directed Cartesian-Product Decomposition of a Directed Graph from its Undirected Decomposition in Linear Time. Discrete Mathematics, 2015, 338 (12), pp.2393-2407. ⟨10.1016/j.disc.2015.06.001⟩. ⟨hal-01241939⟩
104 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More