Stochastic Evolution of Graphs using Local Moves
摘要
Inspired by theories such as Loop Quantum Gravity, a class of stochastic graph dynamics was studied in an attempt to gain a better understanding of discrete relational systems under the influence of local dynamics. Unlabeled graphs in a variety of initial configurations were evolved using local rules, similar to Pachner moves, until they reached a size of tens of thousands of vertices. The effect of using different combinations of local moves was studied and a clear relationship can be discerned between the proportions used and the properties of the evolved graphs. Interestingly, simulations suggest that a number of relevant properties possess asymptotic stability with respect to the size of the evolved graphs.
引用
@article{arxiv.hep-th/0601163,
title = {Stochastic Evolution of Graphs using Local Moves},
author = {Hal Finkel},
journal= {arXiv preprint arXiv:hep-th/0601163},
year = {2007}
}
备注
17 pages, 17 figures. Basis for talk given at the LOOPS'05 conference (Potsdam, Germany: 13 Oct. 2005)