Title
Budgeted sensor placement for source localization on trees
Abstract
We address the problem of choosing a fixed number of sensor vertices in a graph in order to detect the source of a partially-observed diffusion process on the graph itself. Building on the definition of double resolvability we introduce a notion of vertex resolvability. For the case of tree graphs we give polynomial time algorithms for both finding the sensors that maximize the probability of correct detection of the source and for identifying the sensor set that minimizes the expected distance between the real source and the estimated one.
Year
DOI
Venue
2015
10.1016/j.endm.2015.07.012
Electronic Notes in Discrete Mathematics
Keywords
Field
DocType
Double Resolvability,Sensor Placement,Source Localization
Discrete mathematics,Graph,Diffusion process,Combinatorics,Tree (graph theory),Vertex (geometry),Source localization,Time complexity,Mathematics
Journal
Volume
ISSN
Citations 
50
1571-0653
5
PageRank 
References 
Authors
0.48
5
4
Name
Order
Citations
PageRank
L. Elisa Celis150.48
Filip Pavetić270.89
Brunella Spinelli371.18
Patrick Thiran42712217.24