Algorithmic graph theory
The multi-BSG: stochastic approach to an optimum packing of convex-rectilinear blocks
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
An O-tree representation of non-slicing floorplan and its applications
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
B*-Trees: a new representation for non-slicing floorplans
Proceedings of the 37th Annual Design Automation Conference
FAST-SP: a fast algorithm for block placement based on sequence pair
Proceedings of the 2001 Asia and South Pacific Design Automation Conference
TCG: a transitive closure graph-based representation for non-slicing floorplans
Proceedings of the 38th annual Design Automation Conference
Introduction to Algorithms
Corner block list: an effective and efficient topological representation of non-slicing floorplan
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
An optimum placement search algorithm based on extended corner block list
Journal of Computer Science and Technology
VLSI module placement based on rectangle-packing by the sequence-pair
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Module packing based on the BSG-structure and IC layout applications
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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Bounded Slice-line Grid (BSG) is an elegant representation of block placement, because it is very intuitionistic and has the advantage of handling various placement constraints. However, BSG has attracted little attention because its evaluation is very time-consuming. This paper proposes a simple algorithm independent of the BSG size to evaluate the BSG representation in O(n log log n) time, where n is the number of blocks. In the algorithm, the BSG-rooms are assigned with integral coordinates firstly, and then a linear sorting algorithm is applied on the BSG-rooms where blocks are assigned to compute two block sequences, from which the block placement can be obtained in O(n log log n) time. As a consequence, the evaluation of the BSG is completed in O(n log log n) time, where n is the number of blocks. The proposed algorithm is much faster than the previous graph-based O(n2) algorithm. The experimental results demonstrate the efficiency of the algorithm.