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50 views

L1 sampling for sampling edges of a graph

I am trying to sample the edges of an undirected graph using weights. The goal is to run a sparsification algorithm on the graph. I see the point that L1 norm is best for sparsification. Can someone ...
11
votes
1answer
6k views

Generate scale-free networks with power-law degree distributions using Barabasi-Albert

I'm trying to reproduce the synthetic networks (graphs) described in some papers. It is stated that the Barabasi-Albert model was used to create "scale-free networks with power-law degree ...
4
votes
1answer
110 views

Uniformly sampling from cycles of a graph

I was wondering if, given an arbitrary cycle basis (that's complete, e.g. every cycle in the graph can be expressed as the $\mathbb{Z}/2\mathbb{Z}$ sum of elements from the basis) of some graph $G$, ...
1
vote
0answers
245 views

Uniform generation of random bipartite bi-regular graphs?

I want an algorithm that takes the following Input: $M,N,k,d$ positive integers such that $kM = dN$. and produces the following Output: Random bipartite graph, with $M$ vertices all of degree $k$ ...
6
votes
1answer
775 views

Generate a random graph with geometrical degree distribution

I'm working on graph generation, trying to implement the RT-nested-Smallworld network model described in this paper. We are talking about generating an undirected graph in a slightly different way ...
2
votes
0answers
333 views

Sampling random graphs with Eulerian paths

How to generate random graphs with eulerian Paths? Its well known that there is a eulerian path if the number of nodes with odd degree is exactly 2 or zero. I'm interested in an algorithm to make ...
3
votes
2answers
123 views

Generating graphs such as found on Sedgewick's Algorithms book on the MST chapters

I always wondered what the algorithm might be to generate graphs such as those found on Sedgewick's algorithms books (consider the picture on the left): Could any one point me to the name (or ...
1
vote
1answer
45 views

How to get samples of different paths?

Say I have a "semi" directed, weighted, graph (some edges are undirected, some are directed). Consider two nodes, A and B. Consider the set of all paths that take me from node A to node B. I ...
4
votes
1answer
1k views

Set the parameters of a Erdos-Renyi graph generator to get a specific mean degree

I'm trying to reproduce the synthetic networks (graphs) described in some papers. The topic is the same as a previous question of mine, but with a different focus. It is stated that the Erdos-Renyi ...
6
votes
3answers
2k views

Constructing a random Hamiltonian Cycle (Secret Santa)

I was programming a little Secret Santa tool for my extended family's gift exchange. We had a few constraints: No recipients within the immediate family Nobody should get who they got last year The ...
2
votes
0answers
139 views

Sampling a Large Undirected Graph

I'm working with a very large undirected graph (a social network from a telecomunication company). I'm applying a clustering algorithm on this graph to find it’s most relevant communities. The ...
4
votes
2answers
118 views

Uniformly random efficient sampling of shortest s-t paths, with optimal random bits

Motivated by Efficiently sampling shortest s-t paths uniformly and independently at random, The answers give methods of randomly sampling shortest $s\text{-}t$ paths. However, they use a lot of ...
14
votes
2answers
858 views

Efficiently sampling shortest $s$-$t$ paths uniformly and independently at random

Let $G$ be a graph, and let $s$ and $t$ be two vertices of $G$. Can we efficiently sample a shortest $s$-$t$ path uniformly and independently at random from the set of all shortest paths between $s$ ...
7
votes
1answer
2k views

Algorithms for graph generation using given properties

There may be a large number of algorithms proposed for generating graphs satisfying some common properties (e.g., clustering coefficient, average shortest path length, degree distribution, etc). My ...