Optimal routing in double loop networks
نویسندگان
چکیده
In this paper, we study the problem of finding the shortest path in circulant graphs with an arbitrary number of jumps. We provide algorithms specifically tailored for weighted undirected and directed circulant graphs with two jumps which compute the shortest path. Our method only requires O(log N ) arithmetic operations and the total bit complexity is O(log2 N log log N log log log N ), where N is the number of the graph’s vertices. This elementary and efficient shortest path algorithm has been derived from the Closest Vector Problem (CVP) of lattices in dimension two and with an `1 norm. c © 2007 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 381 شماره
صفحات -
تاریخ انتشار 2007