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Constant-time algorithms for the channel assignment problem on processor arrays with reconfigurable bus systems

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1 Author(s)

In this paper, we present an O(1) time algorithm to solve the minimum coloring problem defined on a set of intervals, which is also called the channel assignment problem. This problem has not been solved in O(1) time before, even on the idealistic CRCW PRAM model. For large-sized problems, it is desirable to have fast hardware-solutions. Our algorithm is based on the processor arrays with a reconfigurable bus system (abbreviated to PARBS) that consists of a processor array and a reconfigurable bus system. In order to solve this problem with constant time complexity, we first transform the “left-edge” channel assignment algorithm to the parenthesis-matching problem. Based on this novel scheme, we are able to explore constant-time parallel algorithms to solve the minimum coloring problem for n intervals, which is also called the channel assignment problem, on a PARBS with O(n2) processors

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Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on  (Volume:13 ,  Issue: 7 )