@inproceedings{18667ea498694210b952727e0eabb76b,
title = "Simulating asymptotic orders of the number of graphical partitions and graphical degree sequences",
abstract = "We design randomized algorithms to simulate the currently unknown asymptotic orders of the number of graphical degree sequences of given length and the number of graphical partitions of a given even integer. Computational simulations are conducted and the obtained simulation data are analyzed using the method of nonlinear least squares to derive conjectures about the asymptotic orders of the two considered combinatorial functions. These conjectures can be used to estimate the values of these functions when inputs are large and can compare against future rigorous asymptotic analysis of these functions.",
keywords = "Asymptotic order, Counting, Graphical degree sequence, Graphical partition, Randomized algorithm",
author = "Kai Wang and Troy Purvis",
note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 International Conference on Computational Science and Computational Intelligence, CSCI 2018 ; Conference date: 13-12-2018 Through 15-12-2018",
year = "2018",
month = dec,
doi = "10.1109/CSCI46756.2018.00037",
language = "English",
series = "Proceedings - 2018 International Conference on Computational Science and Computational Intelligence, CSCI 2018",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "152--157",
booktitle = "Proceedings - 2018 International Conference on Computational Science and Computational Intelligence, CSCI 2018",
address = "United States",
}