• on the wide diameter of directed double-loop networks

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 808
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     in parallel transmission system, the wide diameter has become an important factor to measure transmission efficiency instead of the diameter. the minimum distance diagram of a directed double-loop network yields an l-shaped tile, an l-shaped tile can be described by four geometric parameters: abpand q, let m=a–pn=bq, the l-shaped tiles can be classified into 4 types according to the value of m and n. in this paper, through classification and superposition to l-shaped tiles, we give a method to search the equivalent node, and provide the formulas for the wide diameter of directed double-loop networks. we also prove that for any directed double-loop networks, the lower and the upper bounds of the wide diameter are ceil (sqrt(3×n))−1 and n−1, respectively. next, we use simulation results to demonstrate the relationship between the wide diameter and tight optimal directed double-loop networks. it is obvious that the wide diameter doesn’t always obtain minimum value in tight optimal directed double-loop networks, but the directed double-loop network must be tight optimal one when its wide diameter obtains minimum value. the simulation results indicate that there are many double tight optimal directed double-loop networks.

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