Ri. Greenberg et Jd. Shih, SINGLE-LAYER CHANNEL ROUTING AND PLACEMENT WITH SINGLE-SIDED NETS, Computers & mathematics with applications, 32(4), 1996, pp. 1-7
This paper considers the optimal offset, feasible offset, and optimal
placement problems for a more general form of single-layer VLSI channe
l routing than has usually been considered in the past. Most prior wor
ks require that every net has exactly one terminal on each side of the
channel. As long as only one side of the channel contains multiple te
rminals of the same net, we provide linear-time solutions to all three
problems. Such results are implausible, if the placement of terminals
is entirely unrestricted; in fact, the size of the output for the fea
sible offset problem may be Omega(n(2)). The linear-time results also
hold with a ragged boundary on the side of the channel with multiple c
onnections to the same net.