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Dec 7, 2015 · These are two different concepts. A perfect matching is a matching involving all the vertices. A bipartite perfect matching (especially in the context of Hall's theorem) is a matching in a bipartite graph which involves completely one of the bipartitions. If the bipartite graph is balanced – both bipartitions have the same number of vertices ...
Feb 24, 2021 · 1. Suppose you are given two sets of integers L and M both having N elements. The problem is to match each number in L to a number in M. Such perfect matching has some cost given by ∑N i=1 li ∗mi ∑ i = 1 N l i ∗ m i. I want to find some perfect matching with some given cost. I suspect that this is hard (i.e. NP-complete).
Nov 28, 2021 · If there is one (B) and everything else is (A), then you can match that vertex with the root and the result is (A). Finally, if the tree is connected to more than one (B), it can't be covered (C). This is a recursive traversal of the tree, which can be done in linear time.
You can compute the number of perfect matchings in planar bipartite graphs, and you can approximate the number of perfect matchings in general bipartite graphs. See for example this survey. Approximating the number of perfect matchings in general graphs is apparently more difficult, see for example this paper or that paper. Both papers mention ...
Feb 18, 2015 · So, there is a polynomial-time algorithm to find the perfect matching whose total weight is maximized. Given this, we can solve your problem (find the perfect matching whose total weight is minimized) by simply negating all of the edge weights.
$\begingroup$ The Kolmogorov paper references an overview paper (W. Cook and A. Rohe. Computing minimum-weight perfect matchings). In that paper the weighted version is also attributed to Edmonds: "Edmonds’ algorithm is based on a linear-programming formulation of the minimum-weight perfect-matching problem."
Dec 16, 2019 · An easy solution is to reduce the problem to minimum weight maximum matching. Create b(v) b (v) copies of each vertex v v and connect each of them to all neighbors of the original vertex v. We get a polynomial time reduction, since for b(v) ≥ deg(v) b (v) ≥ d e g (v) we can set b(v):= deg(v) b (v):= d e g (v) since we can not match v v with ...
Apr 11, 2017 · $\begingroup$ How much more similar? I would expect the original might be similar to both. I'd guess SIFT might have some robustness to resizing (thanks to the image pyramid), and should be highly robust to cropping (there should be a perfect match for the keypoints in the regions of the image that survive cropping).
Jun 1, 2019 · Your problem is an instance of minimum bipartite perfect matching. This is known as the assignment problem, and there are known efficient algorithms. As a first step, you should compute the weights of all edges, using the formula your are given (L1 distance between the point corresponding to the person and the point corresponding to the shop).
4 个回答. "Perfect match you are" 英语语法上勉强可以接受，但逻辑上有问题。. 口语很多时把词汇调上前面来达到强调的效果。. 最常见的与其说: "You're right!", 人们说: "Right you're!" "match" 意思是 "相配/登对", 这意味要有两个人。. 所以英语我见过的有 "What a perfect match ...
