One embodiment of the invention is a recursive partitioning method that places
circuit elements in an IC layout. This method initially defines a number of partitioning
lines that divide an IC region into several sub-regions (also called slots). For
a net in the region, the method then identifies the set of sub-regions (i.e., the
set of slots) that contain the circuit elements (e.g., the pins of circuit modules)
of that net. The set of sub-regions for the net represents the net's configuration
with respect to the defined partitioning lines. Next, the placement method identifies
attribute or attributes of a connection graph that models the net's configuration
with respect to the partitioning lines. The connection graph for each net provides
a topology of interconnect lines that connect the slots that contain the net's
circuit elements. According to some embodiments of the invention, the connection
graph for each net can have edges that are completely or partially diagonal.