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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
1 answer
200 views

Two from cubic subgraph hardness

The Problem For a given graph $G$, the cubic subgraph problem asks if there is a subgraph where every vertex has degree 3. The cubic subgraph problem is NP-hard even in bipartite planar graphs with ...
prohibited graph minor'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
5 votes
2 answers
4k views

Solving assignment problem using Hungarian method vs min cost max flow problem

The traditional solution for the assignment problem is the Hungarian method - it's complexity is O(V^4) or O(V^3) if using Edmonds method. However, it can also be reduced to a min cost max flow ...
EugeneMi's user avatar
  • 201
4 votes
1 answer
1k views

Polygamous stable marriage/ assignment problem

I'm not sure under which 'algorithm' it falls under, but here is the problem: I need to match each person to 5 people from the opposite gender (each guy gets 5 girls, each girl gets 5 guys). Not all ...
EugeneMi's user avatar
  • 201
-4 votes
1 answer
218 views

Bipartite graph [closed]

First of all, thank you for your time to reading my post. I am a researcher but not a mathematician, i have some difficulties in solving a math problem, that why i am here to ask your help. I just ...
user3592519's user avatar