图的类型——图论与SAT - 知乎 - 知乎专栏
regular graph即每个点的度数相同的图，如果这个度数为k，那么称为k-regular graph； 如果一个k-regular graph中每一对相连的点的邻居恰好有λ个相同，每一对不相连的点的邻居恰好有μ个相同，则其为Strongly regular graph，记为srg( v , k , λ, μ)，v是点的数量。
Question about regular bipartite graphs - Mathematics Stack …
2017年9月9日 — A bipartite graph with partite sets U and W is called balanced if |U| = |W|. Let G be a regular bipartite graph with at least one edge. Prove that G is balanced.
Bipartite graph - Wikipedia
Bipartite graphs are extensively used in modern coding theory, especially to decode codewords received from the channel. Factor graphs and Tanner graphs are examples of this.
We say a graph is bipartite if there is a partitioning of vertices of a graph, V, into disjoint subsets A;B such that A[B = V and all edges (u;v) 2E have exactly 1 endpoint in A and 1 in B.
Now that we know what a bipartite graph is, we can begin to prove some theorems about them that will help us in using the properties of bipartite graphs to solve certain problems.
Lecture notes on bipartite matching Matching problems are among the fundamental problems in combinatorial optimization. In this set of notes, we focus on the case when the underlying graph is bipartite.
Prove that a $k$-regular bipartite graph has a perfect matching
2016年5月30日 — Prove that a $k$-regular bipartite graph has a perfect matching by using Hall's theorem. Let $S$ be any subset of the left side of the graph. The only thing I know is the number of things leaving the subset is $|S|\times k$.
By the claim andHall’s Theorem, graph G[(Q ∩X)∪(Y −Q)] has a matching MX covering Q ∩X and graph G[(Q ∩Y)∪(X −Q)] has a matching MY covering Q ∩Y.
The parts of a bipartite graph are often called color classes; this terminology will be justi ed in coming lectures when we generalize bipartite graphs in our discussion of graph coloring.
A graph G = (V;E) is called bipartite if its vertex set V can be partitioned into two disjoint subsets L and R such that all edges are between L and R. For example, the graph G 1 below on the left 1 6 2 3 4 7 5 G 1 1 3 2 4 5 G 2 is bipartite, because we can partition its vertex set into L = f1;2;4;6gand R = f3;5;7g, and then each edge