Abstract
A linear time algorithm for determining the maximal number of collision-free transmissions in an arbitrary series-parallel network is developed. The method operates by a recursive contraction of the network to a single edge; during this contraction process, information is retained concerning each of the subnetworks which has been eliminated. This efficient solution contrasts with the known NP-completeness of the problem for general networks.
on leave from Department of Computer and Information Science University of Oregon Eugene, Oregon, 97403 U.S.A.
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© 1984 Springer-Verlag Berlin Heidelberg
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Colbourn, C.J., Proskurowski, A. (1984). Concurrent transmissions in broadcast networks. In: Paredaens, J. (eds) Automata, Languages and Programming. ICALP 1984. Lecture Notes in Computer Science, vol 172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13345-3_11
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DOI: https://doi.org/10.1007/3-540-13345-3_11
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