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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: ...
Fabius Wiesner's user avatar
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 ...
Salma Omer's user avatar
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 ...
bumbling-tadpole's user avatar
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 ...
Thomas Edison's user avatar
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,\...
Thomas Edison's user avatar
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 ...
Penelope Benenati's user avatar