Abstract
We study the gossiping problem in directed ad-hoc radio networks. Our main result is a deterministic algorithm that solves this problem in an n-node network in time O(n 4/3log4 n). The algorithm allows the labels (identifiers) of the nodes to be polynomially large in n, and is based on a novel way of using selective families. The previous best general (i.e., dependent only on n) deterministic upper bounds were O(n 5/3log3 n) for networks with polynomially large node labels [1], and O(n 3/2log2 n) for networks with linearly large node labels [2,3,4].
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Gąsieniec, L., Radzik, T., Xin, Q. (2004). Faster Deterministic Gossiping in Directed Ad Hoc Radio Networks. In: Hagerup, T., Katajainen, J. (eds) Algorithm Theory - SWAT 2004. SWAT 2004. Lecture Notes in Computer Science, vol 3111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27810-8_34
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DOI: https://doi.org/10.1007/978-3-540-27810-8_34
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