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- W2427357463 abstract "This paper is devoted to study the combinatorial properties of Local Minimum Spanning Trees (LMSTs), a geometric structure that is attracting in- creasing research interest in the wireless sensor networks community. Namely, we study which topologies are allowed for a sensor network that uses, for sup- porting connectivity, a local minimum spanning tree approach. First, we refine the current definition of LMST realizability, focusing on the role of the power of transmission (i.e., of the radius of the covered area). Second, we show simple planar, connected, and triangle-free graphs with maximum degree 3 that cannot be represented as an LMST. Third, we present several families of graphs that can be represented as LMSTs. Then, we show a relationship between planar graphs and their representability asLMSTs based on homeomorphism. Finally, we show that the general problem of determining whether a graph is LMST representable is NP-hard." @default.
- W2427357463 created "2016-06-24" @default.
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- W2427357463 date "2006-01-01" @default.
- W2427357463 modified "2023-09-24" @default.
- W2427357463 title "On the Topologies of Local Minimum Spanning Trees (Extended Abstract)" @default.
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