Probability of graphs with large spectral gap by multicanonical Monte Carlo
Statistical Mechanics
2015-05-18 v1 Disordered Systems and Neural Networks
Physics and Society
Abstract
Graphs with large spectral gap are important in various fields such as biology, sociology and computer science. In designing such graphs, an important question is how the probability of graphs with large spectral gap behaves. A method based on multicanonical Monte Carlo is introduced to quantify the behavior of this probability, which enables us to calculate extreme tails of the distribution. The proposed method is successfully applied to random 3-regular graphs and large deviation probability is estimated.
Cite
@article{arxiv.1003.1023,
title = {Probability of graphs with large spectral gap by multicanonical Monte Carlo},
author = {Nen Saito and Yukito Iba},
journal= {arXiv preprint arXiv:1003.1023},
year = {2015}
}
Comments
3pages 4figures