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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
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