4.3 二分图中的匹配和覆盖 Matchings & coverings in bipartite graphs 例子4.7 最小覆盖问题 Minimum cover Problem ***定理4.8 (König) 例子4.9 定理4.10 霍尔婚配定理 Hall's Marriage Theorem 4.4 例子与应用 例子4.11 例子4.12 完美匹配 例子4.13 例子4.14 ...
A graph is bipartite if its set of points V(G) can be partitioned into two sets, A and B, such that every line in E(G) has one endpoint in A and the other in B. The sets A and B are often called the color classes of G and (A, B) a bipartition of G. The chapter ...
This is notes of Chapter 25.发布于 2024-03-05 21:43・IP 属地广东 内容所属专栏 算法导论-读书笔记 订阅专栏 算法 赞同添加评论 分享喜欢收藏申请转载 写下你的评论... 还没有评论,发表第一个评论吧 推荐阅读 Folding infinite list through F-algebra 非构造性雨轩菌 ...
The computational complexity of the bipartite popular matching problem depends on how indifference appears in the preference lists. If one side has strict preferences while nodes on the other side are all indifferent (but prefer to be matched), then a popular matching can be found in polynomial ...
The present paper shows how to construct a maximum matching in a bipartite graph with n vertices and m edges in a number of computation steps proportional to (m + n)x/. Key words, algorithm, algorithmic analysis, bipartite graphs, computational complexity, graphs, matching 1. Introduction. Sup...
(C) Springer Verlag, Lecture Notes on Computer Science Algorithms for Enumerating All Perfect, Maximum and Maximal Matchings in Bipartite Graphs The Hungarian method is an efficient algorithm for finding a minimal-cost perfect matching in a weighted bipartite graph. This paper describes an efficient....
1. Maximum Cardinality Matching in Bipartite Graphs Uses theAugmenting Pathalgorithm, which performs in O(e * v) where e is the number of edges, and v, the number of vertexes (benchmark). require'graph_matching'g=GraphMatching::Graph::Bigraph[1,3,1,4,2,3]m=g.maximum_cardinality_matc...
where the corresponding bipartite graph of interest has nodes representing advertisers on one side and nodes representing web-page impressions on the other; real-world instances of such graphs can have billions of impression nodes. We provide theoretical guarantees for our a...
We study the existence of perfect matchings in suitably chosen induced subgraphs of random biregular bipartite graphs. We prove a result similar to a classical theorem of Erdos and Renyi about perfect matchings in random bipartite graphs. We also present an application to commutative graphs, a clas...
Minimum chain subgraph covers and maximum induced matchings in chordal bipartite graphsWe show that when G = (V, E) is a bipartite graph with no induced cycles on six vertices, the minimum number of chain subgraphs of G needed to cover E(G) equals the chromatic number of the complement ...