Abstract
In this paper we deal with the problem of designing virtual path layouts in ATM networks with given hop-count and minimum load, for which we prove a lower bound with respect to networks with arbitrary topology. The result is then applied to derive a tight lower bound for the one-to-many communication pattern in networks with arbitrary topology, and for the many-to-many communication pattern in planar graphs and graphs with bounded treewidth.
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Becchetti, L., Gaibisso, C. (1997). Lower bounds for the virtual path layout problem in ATM networks. In: Plášil, F., Jeffery, K.G. (eds) SOFSEM'97: Theory and Practice of Informatics. SOFSEM 1997. Lecture Notes in Computer Science, vol 1338. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63774-5_116
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DOI: https://doi.org/10.1007/3-540-63774-5_116
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