Title
Unconstrained via minimization for topological multilayer routing
Abstract
A theoretical study which allows determination of the minimum number of vias for realizable multilayer channel routing under a topological model is presented. The theory is sufficiently general to solve a variety of problems under different technological constraints, e.g. VLSI multilayer switchbox and channel routing, through-hole printed circuit board (PCB) channels, and single-layer routing. Topological routing is concerned with wire intersection but not area, zero-width wires and zero-area vias being assumed. Unconstrained via minimization (UVM) is not constrained to a prerouted topology. This paper presents restrictive cases of UVM, finding most to be NP-hard, but the case resulting from constraints of traditional switchbox or channel routing to be solvable in O(kn2), where k is the maximum number of pins of a net layer and n is the number of pins. The minimum number of vias for various switchbox and channel routing benchmarks are reported
Year
DOI
Venue
1990
10.1109/43.59073
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions  
Keywords
DocType
Volume
VLSI,circuit layout CAD,computational complexity,network topology,printed circuit design,NP-hard,UVM,VLSI,benchmarks,channel routing,multilayer switchbox,net layer,printed circuit board,single-layer routing,topological multilayer routing,unconstrained via minimisation,vias,wire intersection
Journal
9
Issue
ISSN
Citations 
9
0278-0070
8
PageRank 
References 
Authors
1.44
12
3
Name
Order
Citations
PageRank
Matthias F. M. Stallmann116619.38
Thomas A. Hughes281.44
Wentai Liu3717135.62