scholarly journals An Efficient Monte Carlo Approach to Compute PageRank for Large Graphs on a Single PC

2016 ◽  
Vol 41 (1) ◽  
pp. 29-43
Author(s):  
Tomohiro Sonobe

AbstractThis paper describes a novel Monte Carlo based random walk to compute PageRanks of nodes in a large graph on a single PC. The target graphs of this paper are ones whose size is larger than the physical memory. In such an environment, memory management is a difficult task for simulating the random walk among the nodes. We propose a novel method that partitions the graph into subgraphs in order to make them fit into the physical memory, and conducts the random walk for each subgraph. By evaluating the walks lazily, we can conduct the walks only in a subgraph and approximate the random walk by rotating the subgraphs. In computational experiments, the proposed method exhibits good performance for existing large graphs with several passes of the graph data.

1998 ◽  
Vol 09 (03) ◽  
pp. 497-503 ◽  
Author(s):  
Paulo Murilo Castro de Oliveira

We revisit here a new Monte Carlo approach, namely the Broad Histogram Method. It is based on two quantities, the numbers N up and N dn of potential modifications which could be performed starting from the system's current state, increasing or decreasing its energy E, respectively. Thus, the energy degeneracy g(E) can be directly determined from the microcanonical averages <N up (E)> and <N dn (E)> of these two quantities. This method was first tested by sampling states from a random walk along the energy axis, for which the control of possible correlations between successive averaging states is not an easy task. Neverthless, the resulting microcanonical averages could not depend upon the particular dynamics used to sample the Markovian chain of averaging states. Here, we test the same method within an alternative dynamics for which the quoted control becomes trivial.


1983 ◽  
Vol 14 (1-4) ◽  
pp. 44-63
Author(s):  
Buddy L. Myers ◽  
Norbert L. Enrick ◽  
Richard T. Redmond ◽  
John H. Lindgren

1981 ◽  
Vol 12 (1-4) ◽  
pp. 59-66
Author(s):  
Buddy L. Myers ◽  
Norbert L. Enrick ◽  
Richard T. Redmond ◽  
John H. Lindgren

Author(s):  
Jose Camberos ◽  
Robert Greendyke ◽  
Larry Lambe ◽  
Brook Bentley

2009 ◽  
Vol 8 (3-4) ◽  
pp. 324-335 ◽  
Author(s):  
Damien Querlioz ◽  
Huu-Nha Nguyen ◽  
Jérôme Saint-Martin ◽  
Arnaud Bournel ◽  
Sylvie Galdin-Retailleau ◽  
...  

2020 ◽  
Vol 219 ◽  
pp. 116945
Author(s):  
Vasilis Pagonis ◽  
Sebastian Kreutzer ◽  
Alex Roy Duncan ◽  
Ena Rajovic ◽  
Christian Laag ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document