A Novel Symbolic Algorithm for Maximum Weighted Matching in Bipartite Graphs
نویسندگان
چکیده
منابع مشابه
A Novel Symbolic Algorithm for Maximum Weighted Matching in Bipartite Graphs
The maximum weighted matching problem in bipartite graphs is one of the classic combinatorial optimization problems, and arises in many different applications. Ordered binary decision diagram (OBDD) or algebraic decision diagram (ADD) or variants thereof provides canonical forms to represent and manipulate Boolean functions and pseudo-Boolean functions efficiently. ADD and OBDD-based symbolic a...
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Given a weighted bipartite graph, the maximum weight matching (MWM) problem is to find a set of vertex-disjoint edges with maximum weight. We present a new scaling algorithm that runs in O(m √ n logN) time, when the weights are integers within the range of [0, N ]. The result improves the previous bounds of O(Nm √ n) by Gabow and O(m √ n log (nN)) by Gabow and Tarjan over 20 years ago. Our impr...
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An (f, g)-semi-matching in a bipartite graph G = (U ∪V,E) is a set of edges M ⊆ E such that each vertex u ∈ U is incident with at most f(u) edges of M , and each vertex v ∈ V is incident with at most g(v) edges of M . In this paper we give an algorithm that for a graph with n vertices and m edges, n ≤ m, constructs a maximum (f, g)semi-matching in running time O(m ·min( √∑ u∈U f(u), √∑ v∈V g(v)...
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ژورنال
عنوان ژورنال: International Journal of Communications, Network and System Sciences
سال: 2011
ISSN: 1913-3715,1913-3723
DOI: 10.4236/ijcns.2011.42014