# Questions tagged [bipartite-graph]

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### Assignment Problem — finding the $k$ agents with the best assignment

I have a question that I have been thinking about. Suppose we have $n$ agents, $m$ tasks, a cost matrix with $M_{ij}$ being the cost of agent $i$ performing task $j$, and are given a value $k \leq n$. ...
52 views

### Bipartite graph minimal amount of vertices required

I have a bipartite graph made of two sets (SET 1 and SET 2) and I want to determine how many vertices from the ...
44 views

### Path finding through bipartite graph

Is there a path finding algorithm that exploits a directed bipartite graphs' structure? I found this: Shortest-Path for Weighted Directed Bipartite Graphs but it didn't seem like the OP needed a ...
28 views

### Another vertex cover question?

I'm not sure this is equivalent to bipartite vertex cover question. The question is: Given a BIPARTITE graph, what is the minimum number of vertex from the right side whose edges cover all vertex ...
29 views

### What is the approximation for odd cycle transversal?

What is the best approximation for odd cycle transversal? (on general graphs) Sorry if this is easily found everything I found about odd cycles is about paramaterized complexity and kernels
13 views

### bipartite d regular expender explicit construction

I am looking for an explicit (and simple) construction of a d regular bi bipartite graph which is an expander. I searched the web and didn't find any sufficient answer. The only explicit graph I did ...
88 views

### Does real linear programming produce bipartite perfect matching using maxflow reduction?

Given a bipartite graph the standard reduction to max flow is with the construction similar to following diagram: We can formulate max flow as an linear programming problem with integer variables in ...
20 views

### Algorithm to assign producers to consumers with respect to connections

I am trying to analyze supply chains in a game and have come across this problem: First, an informal description: I have producers and consumers. Each producer produces a certain amount of goods, ...