All Questions
4 questions
7
votes
1
answer
804
views
Combinatorial optimization problem for bipartite graphs
Let $G(V_1\cup V_2, E)$ be a simple bipartite graph having $n$ vertices and $m$ edges, such that $|V_1|=|V_2|$ (which implies that $n$ is an even number). Given any node $i \in V_1\cup V_2$, we denote ...
2
votes
2
answers
112
views
Real-world datasets for testing the maximum edge bi-clique problem
We have proposed a new approach to solve the maximum edge bi-clique problem, however, we couldn't succeed to find real-world datasets (graph or bipartite graph datasets) to test our approach. Does ...
1
vote
1
answer
163
views
An variation of an assignment problem in combinatorics: assign items to customers
Suppose we want to assign $n$ items to $m$ customers ($n \geq m$). Each assignment of an item $i$ to a customer $j$ has an associated cost $c(i,j)$. Find an assignment that maximizes the total cost. ...
0
votes
1
answer
140
views
Maximum partition of bipartite graph
Let $G = (U, V, E)$ be a bipartite graph. Let $w: E \to \mathbb{R}$ be a weight function on the edge set $E$. Given subsets $U_1,\ldots, U_k \subset U, U_i\cap U_j = \emptyset$ and a partition $V_1,\...