Abstract: In this paper we study the problem of building a connected dominating set with constant degree (CCDS) in the dual graph radio network model [5, 10, 11]. This model includes two types of links: reliable, which always deliver messages, and unreliable, which sometimes fail to deliver messages. Real networks compensate for this differing quality by deploying low-layer detection protocols to ﬁlter unreliable from reliable links. With this in mind, we begin by presenting an algorithm that solves the CCDS problem in the dual graph model under the assumption that every process u is provided a local link detector set consisting of every neighbor connected to u by a reliable link. A natural follow up question is whether the link detector must be perfectly reliable to solve the CCDS problem. With this in mind, we ﬁrst describe an algorithm that builds a CCDS in O(∆polylog(n)) time under the assumption of O(1) unreliable links included in each link detector set. We then prove this algorithm to be (almost) tight by showing that the possible inclusion of only a single unreliable link in each process’s local link detector set is sufﬁcient to require Ω(∆) rounds to solve the CCDS problem, regardless of message size. We conclude by discussing how to apply our algorithm in the setting where the topology of reliable and unreliable links can change over time.
Guest: Calvin Newport
Host: Yvonne-Anne Pignolet