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1
vote
1answer
59 views

SimRank on a weighted directed graph (how to calculate node similarity)

I have a weighted directed graph (it's sparse, 35,000 nodes and 19 million edges) and would like to calculate similarity scores for pairs of nodes. SimRank would be ideal for this purpose, except that ...
0
votes
2answers
130 views

scale-free networks and adjacency matrix

Given a distribution over graphs with $n$ nodes having the "scale-free" property, I would like to compute for a pair of vertices $(a,b)$ the probability that they are connected (or more precisely the ...
-2
votes
1answer
37 views

How to find number of paths between 2 nodes of a certain length [duplicate]

Consider the following adjacency matrix: ...
1
vote
1answer
90 views

Are all adjacency matrices represented by 0 and 1s? [closed]

Are there any cases when adjacency matrix should have entries other than 0 and 1?
1
vote
0answers
45 views

Shortest path with min-sum multiplication and Boltzmann distribution

My professor presented a method to find shortest paths using the min-sum multiplication and Boltzmann distribution. He multiplies the adjacency matrix many times and takes the $\beta$ of Boltzmann ...
3
votes
2answers
2k views

What is the complexity of this matrix transposition?

I'm working on some exercises regarding graph theory and complexity. Now I'm asked to give an algorithm that computes a transposed graph of $G$, $G^T$ given the adjacency matrix of $G$. So basically ...
0
votes
1answer
741 views

Generating a adjacency matrix representing a DAG

Does anyone have a pointer to a resource or, even better, a tip to provide on how to efficiently generate a very large matrix representing a connected graph. Graph can be randomly created although I ...