The maximum-weighted bipartite matching problem between two setsU=V=[1:n]is defined by a matrixW=(wij)n×nof "affinity" data. Its goal is to find a permutationπover[1:n]whose total weight∑iwi,π(i)is maximized. In various practical applications,3the affinity data may be of low rank...
A variant of weighted bipartite matching problem is known as assignment problem. In simple terms, assignment problem can be described as havingNjobs andNworkers, each worker does a job for particular cost. Also, each worker should be given only one job and each job should be assigned to only...
For each component l, we multiply the weight of each edge incident to a vertex of component l by γl, and denote the resulting weighted graph by G(γ). We refer to the problem of finding a maximal matching of minimum weight in a complete weighted bipartite graph as Min-Sum Weighted ...
3. Maximum Weighted Matching in Bipartite Graphs Uses theAugmenting Pathalgorithm from Maximum Cardinality Matching, with the "scaling" approach described by Gabow (1983) and Galil (1986), which performs in O(n ^ (3/4) m log N).
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 ...
Maximum-weighted matching in a graph has been studied in Edmonds (1965), who proposed an algorithm involving a formulation of the problem as a linear program, linear programming duality, and the previous algorithm for maximum matching. The complete algorithm is polynomial, solving the weighted ...
We formulate the weighted b-matching objective function as a probability distribution function and prove that belief propagation (BP) on its graphical model converges to the optimum. Standard BP on our graphical model cannot be computed in polynomial time, but we introduce an algebraic method to ci...
2) max weighted bipartite matching 最大权二部图匹配3) minimum weighted bipartite perfect matching 最小权二部图完美匹配4) maximum matching of weighted bigraph 二分图最大权匹配5) maximum matching of bipartite graph 二部图的最大匹配
5) max weighted bipartite matching 最大权二部图匹配 6) maximum weight matching of bipartite graph 二部图最大权匹配 补充资料:二分──识二分 【二分──识二分】 ﹝出摄大乘论释﹞ 论云:于六识中,一分成相,一分成见,故名识二分。 [一、相分],谓于眼等六识,各各变异,成色等种种诸相,是名相分...
1) maximum matching of bipartite graph 二部图的最大匹配 2) max weighted bipartite matching 最大权二部图匹配 3) maximum weight matching of bipartite graph 二部图最大权匹配 4) bipartite graph maximum matching 二分图最大匹配 5) minimum weighted bipartite perfect matching ...