A Matching-Related Property of Bipartite Graphs With Applications in Signal Processing
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چکیده
A bipartite graph G = (L,R;E) is said to be identifiable if for every vertex v ∈ L, the subgraph induced by its non-neighbors has a matching of cardinality |L| − 1. This definition arises in the context of low-rank matrix factorization. Motivated by signal processing applications, in this paper we (i) propose the robustness of identifiability with respect to edge modifications as a polynomially computable measure of evaluating how strongly a bipartite graph possesses the property of identifiability, and (ii) introduce three problems that deal with finding identifiable subgraphs, and study their complexity.
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تاریخ انتشار 2009