All Questions
4 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:
...
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
1
answer
163
views
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. ...
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 ...