2005 | OriginalPaper | Buchkapitel
On Bounded Load Routings for Modeling k-Regular Connection Topologies
verfasst von : Adrian Kosowski, Michał Małafiejski, Paweł Żyliński
Erschienen in: Algorithms and Computation
Verlag: Springer Berlin Heidelberg
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The paper deals with the problem of modeling a
k
-regular topology over an existing network architecture by establishing virtual point-to-point communication paths, referred to as
k-routing.
We consider the question of the existence and minimisation of edge spread of
k
-routings with bounded edge load in undirected networks. Efficient algorithms are presented for determining minimal
k
-routings with edge load 1 and for certain cases with edge load 2. On the negative side, the problems of finding a 6-routing with load 2 and of minimising a 2-routing with load 2 are proven to be
NP
-hard (though the latter is approximable within 7/6). The results imply the
NP
-hardness of the well known all-to-all routing problem for bounded edge load.