AAAI Publications, Thirtieth AAAI Conference on Artificial Intelligence

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On the Minimum Differentially Resolving Set Problem for Diffusion Source Inference in Networks
Chuan Zhou, Wei-Xue Lu, Peng Zhang, Jia Wu, Yue Hu, Li Guo

Last modified: 2016-02-21

Abstract


In this paper we theoretically study the minimum Differentially Resolving Set (DRS) problem derived from the classical sensor placement optimization problem in network source locating. A DRS of a graph G = (V, E) is defined as a subset SV where any two elements in V can be distinguished by their different differential characteristic sets defined on S. The minimum DRS problem aims to find a DRS S in the graph G with minimum total weight Σv∈S w(v). In this paper we establish a group of Integer Linear Programming (ILP) models as the solution. By the weighted set cover theory, we propose an approximation algorithm with the Θ(ln n) approximability for the minimum DRS problem on general graphs, where n is the graph size.

Keywords


Differentially Resolving Set, Diffusion Source Inference, Networks

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