Thek-centrum shortest path problem
- Robert Garfinkel 1
- Elena Fernández 2
- Timothy J. Lowe 3
- 1 University of Connecticut, USA
- 2 Universidad Politécnica de Cataluña, España
- 3 University of Iowa, USA
ISSN: 1863-8279, 1134-5764
Año de publicación: 2006
Volumen: 14
Número: 2
Páginas: 279-292
Tipo: Artículo
Otras publicaciones en: Top
Resumen
Thek-Centrum Shortest Path Problem (kCSP[s, t]) is to minimize the sum of thek longest arcs in any (simple)s−t path containing at leastk arcs, wherek is a positive integer.kCSP is introduced and is shown to be NP-Hard, although it is polynomially solvable ifk is constrained to be no greater than the number of arcs in ans−t path with fewest arcs. Some properties of the problem are studied and a new weakly dual problem is also introduced.