解析 Defines bipartite graph with reference to two sets of vertices and that vertices of the same set are not connectedA bipartite graph is one in which the vertices can be split into two sets where no edge connects vertices in the same set ...
We study the spectrum of the normalized Laplace operator of a connected graph \Gamma \Gamma . As is well known, the smallest nontrivial eigenvalue measures how difficult it is to decompose \Gamma \Gamma into two large pieces, whereas the largest eigenvalue controls how close \Gamma \Gamma is...
The adjacency matrix M(D) of a directed bipartite graph, D=(X,Y,E) is of the following form: where A and B are two (0,1)-matrices. Note that in the case of an undirected bipartite graph, we have B=AT, but it is not true in general for oriented bipartite graphs. D is ...
Clearly, the oriented diameter of any bridgeless graph is at least two. Chvátal and Thomassen [4] proved that deciding if a given graph has an orientation of diameter two, and thus determining the oriented diameter, is NP-complete. Sufficient conditions for a graph to have an orientation of ...
Graph Find bridge in a graph <-> Graph Count Strongly connected Components(Kosaraju Algo) <-> Graph Check whether a graph is Bipartite or Not <-> Graph Detect Negative cycle in a graph <-> Graph Longest path in a Directed Acyclic Graph <-> Graph Journey to the Moon <-> ...
Fast computation of Bipartite graph matching We present a new algorithm to compute the Graph Edit Distance in a sub-optimal way. We demonstrate that the distance value is exactly the same than the one... Serratosa,Francesc - 《Pattern Recognition Letters》 被引量: 131发表: 2014年 Computation...
I have to check that after each input whether the graph remains bipartite or not, we will just break if graph is non-bipartite. I think this is some graph coloring problem but I am unable to implement it, please help me by providing some algorithm to do so....
The incidence graph is a bipartite graph where the sets of vertices represent the variables and constraints, respectively. An edge connects a variable to a constraint if the scope of the constraint includes that variable. This representation captures the full structure of the problem, similar to th...
complete bipartite graph Wikipedia [kəm¦plēt bī′pär‚tīt ‚graf] (mathematics) A graph whose vertices can be partitioned into two sets such that every edge joins a vertex in one set with a vertex in the other, and each vertex in one set is joined to each vertex in the ...
We investigate the following generalisation of the 'multiplication table problem' of Erds: given a bipartite graph with m edges, how large is the set of sizes of its induced subgraphs? Erds's problem of estimating the number of distinct products ab with a , b ≤ n is precisely the problem...