All Questions
6 questions
3
votes
2
answers
336
views
Algorithm to evaluate "connectedness" of a binary matrix
I have the following problem: given an $m \times n$ binary matrix $A$ like e.g. the following $9 \times 39$ matrix:
...
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 ...
3
votes
1
answer
305
views
Partitioning vertex set to maximize weights of inter-class edges?
An interesting problem has come up in my work, and I haven't quite been able to find references to it so I thought I'd ask here.
Suppose we have some complete, weighted graph with vertex set $V$. Is ...
1
vote
0
answers
140
views
Is the partition of bipartite graphs NP-hard?
I wonder if the following problem is NP-hard. Is it?
Given a bipartite graph $G = (U, V, E)$ with weights $w : E \to \mathbb{R}_+$, find a partition of $U$ into $U_1, U_2$ and nonempty disjoint ...
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,\...
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 ...