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    A Linear Time Algorithm for Circular Permutation Layout.

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    Дата
    1988
    Автор
    Rim, C.S.
    Naclerio, N.J.
    Masuda, Sumio
    Nakajima, K.
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    Аннотации
    Suppose that two sets of terminals t_l,t_2,...,t_n and b_1,b_2,...,b_n are located on two concentric circles C_out and C_in, respectively. Given a permutation PI of integers 1,2,...,n, the circular permutation layout problem is the problem of connecting each pair of terminals t_i and b_PI(i) for i = 1,2,. . .,n with zero width wires in such a way that no two wires which correspond to different terminal pairs intersect each other. In this paper, we present a linear time algorithm for the following case: (i) no wire can cross C_out, (ii) at most one wire can pass between any two adjacent terminals on C_in, and (iii) no wire can cross C_in more than once. The previously known algorithm for the same case has time complexity O(n^2).
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    http://hdl.handle.net/1903/4775
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    • Institute for Systems Research Technical Reports

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