All Questions
Tagged with bipartite-graphs combinatorial-optimization
9 questions
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17
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Complexity of optimal cartesian matching
Question:
what is known about the algorithmic aspects of optimally matching a set $\mathcal{P} = \prod\limits_{i=1}^n \left(1,\,\cdots,\,k_i\right)$ of grid-points to a set of $\prod\limits_{i=1}^...
- 13.2k
3
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2
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336
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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:
...
- 1,000
2
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2
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112
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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 ...
- 23
0
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1
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540
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Best algorithm for meeting scheduling optimization so that total number of held meetings is minimized
Problem Description
I want to hold meetings where some given number of people will participate.
They have some vacant dates respectively but they don't have the same date on which all of them can ...
- 11
3
votes
1
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305
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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
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1
answer
163
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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. ...
- 221
1
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0
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140
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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 ...
- 221
0
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1
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140
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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,\...
- 221
7
votes
1
answer
804
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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 ...
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