The problem of finding the maximum number of vertex-disjoint uni-color paths in an edge-colored graph has been recently introduced in literature, motivated by applications in social network analysis. In this paper we investigate the approximation and parameterized complexity of the problem. First, we show that, for any constant ε > 0, the problem is not approximable within factor c^(1-ε), where c is the number of colors, and that the corresponding decision problem is W[1]-hard when parametrized by the number of disjoint paths. Then, we present a fixed-parameter algorithm for the problem parameterized by the number and the length of the disjoint paths.

Bonizzoni, P., Dondi, R., & Pirola, Y. (2013). Maximum Disjoint Paths on Edge-Colored Graphs: Approximability and Tractability. ALGORITHMS, 6(1), 1-11 [10.3390/a6010001].

Maximum Disjoint Paths on Edge-Colored Graphs: Approximability and Tractability

BONIZZONI, PAOLA;PIROLA, YURI
2013

Abstract

The problem of finding the maximum number of vertex-disjoint uni-color paths in an edge-colored graph has been recently introduced in literature, motivated by applications in social network analysis. In this paper we investigate the approximation and parameterized complexity of the problem. First, we show that, for any constant ε > 0, the problem is not approximable within factor c^(1-ε), where c is the number of colors, and that the corresponding decision problem is W[1]-hard when parametrized by the number of disjoint paths. Then, we present a fixed-parameter algorithm for the problem parameterized by the number and the length of the disjoint paths.
Articolo in rivista - Articolo scientifico
social networks; disjoint paths; fixed-parameter algorithms; hardness of approximation
English
1
11
11
Bonizzoni, P., Dondi, R., & Pirola, Y. (2013). Maximum Disjoint Paths on Edge-Colored Graphs: Approximability and Tractability. ALGORITHMS, 6(1), 1-11 [10.3390/a6010001].
Bonizzoni, P; Dondi, R; Pirola, Y
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/47903
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