On the logspace shortest path problem
نویسندگان
چکیده
In this paper, we reduce the logspace shortest path problem to biconnected graphs; in particular, we present a logspace shortest path algorithm for general graphs which uses a logspace shortest path oracle for biconnected graphs. We also present a linear time logspace shortest path algorithm for graphs with bounded vertex degree and biconnected component size, which does not rely on an oracle. The asymptotic timespace product of this algorithm is the best possible among all shortest path algorithms.
منابع مشابه
A reduction of the logspace shortest path problem to biconnected graphs
In this paper, we reduce the logspace shortest path problem to biconnected graphs; in particular, we present a logspace shortest path algorithm for general graphs which uses a logspace shortest path oracle for biconnected graphs. We also present a linear time logspace shortest path algorithm for graphs with bounded vertex degree and biconnected component size, which does not rely on an oracle. ...
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ورودعنوان ژورنال:
- Electronic Colloquium on Computational Complexity (ECCC)
دوره 23 شماره
صفحات -
تاریخ انتشار 2016