We use the convention that edges that belong to a matching M are shown as thick edges, while edges not belonging to M are shown as thin edges.December, Uri ZwickUri Zwick. Lecture Notes on Maximum Matching in Bipartite and Non-Bipartite Graphs. December 2009....
内容提示: A Tight Lower Bound for the Weights ofMaximum Weight Matching in Bipartite GraphsShibsankar Das ?1,2 and Kalpesh Kapoor 21Department of MathematicsInstitute of Science, Banaras Hindu University, Varanasi - 221 005, India.2Department of MathematicsIndian Institute of Technology Guwahati, ...
Theorem. 1–1 correspondence between matchings of cardinality k in G and integral flows of value k in G′. 1.3 二分图完美匹配(Perfect matchings in bipartite graphs)# Def. Given a graph G=(V,E), a subset of edges M⊆E is a perfect matching if each node appears in exactly one edge...
The maximum matching problem in bipartite graphs can be easily reduced to a maximum flow problem in unit graphs that can be solved in O(m n) time using Dinic's algorithm. We present the original derivation of this result, due to Hopcroft and Karp [HK73]. The maximum matching problem in...
Addressing the minimum fleet problem in on-demand urban mobility Karp: An n 2.5 algorithm for maximum matching in bipartite graphs, SIAM J. Comp. 2 (1973), 225–231.Hopcroft, J. E., Karp, R. M.: An n 5/2 algorithm for maximum matchings in bipartite graphs. SIAM J. Comput 2 , 22...
We believe that this duality is not just of theoretical interest, but it also can yield to a usable algorithm for finding a maximum matching of bipartite graph. In this paper we do not present such algorithm; instead we mention what approaches we plan to use in further works to obtain ...
In Section 3, we obtain characterizations of factor-critical graphs and bipartite graphs with positive surplus each of whose edges belongs to at most one maximum matching. In Section 4, we consider graphs each of whose edges belongs to at most one perfect matching. In Section 5, we complete ...
The first stage is building equality bipartite graphs, and the second one is finding maximum cardinality matching in equality bipartite graph. The second stage iterates through the following steps: greedily searching initial matching, building layered network, backward traversing node-disjoint augmenting ...
A distributed-memory approximation algorithm for maximum weight perfect bipartite matching We design and implement an efficient parallel approximation algorithm for the problem of maximum weight perfect matching in bipartite graphs, i.e. the prob... A Azad,A Buluc,XS Li,... 被引量: 2发表: 2018...
Using this, we show that when G = (V, E) is chordal bipartite, the minimum number of chain subgraphs of G needed to cover E(G) equals the size of a largest induced matching in G, and that such a cover and matching can be found in polynomial time. We also present more efficient ...