Single bend wiring on surfaces

The following problem of rectilinear routing is studied: given pairs of points on a surface and a set of permissible orthogonal paths joining them, whether is it possible to choose a path for each pair avoiding all intersections. We prove that if each pair has one or two possible paths to join it, t...

Descripción completa

Detalles Bibliográficos
Autores: Garrido Vizuete, María de los Angeles, Márquez Pérez, Alberto, Morgana, A., Portillo Fernández, José Ramón
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2002
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/34380
Acceso en línea:http://hdl.handle.net/11441/34380
https://doi.org/10.1016/S0166-218X(01)00177-9
Access Level:acceso abierto
Palabra clave:VLSI design
Connection
Bend wiring
Surface
Descripción
Sumario:The following problem of rectilinear routing is studied: given pairs of points on a surface and a set of permissible orthogonal paths joining them, whether is it possible to choose a path for each pair avoiding all intersections. We prove that if each pair has one or two possible paths to join it, then the problem is solvable in quadratic time, and otherwise it is NP-complete. From that result, we will obtain that the problem of finding a surface of minimum genus on which the wires can be laid out with only one bend is NP-hard.