@article{HM22dominationindependence, title = {New bounds on domination and independence in graphs}, author = {Harant, Jochen and Mohr, Samuel}, note = {to appear. }, archivePrefix = {arXiv}, eprint = {2008.12601}, journal={Discussiones Mathematicae Graph Theory}, year={2021}, biburl = {http://samuel-mohr.de/files/bib/14.bib}, abstract = { We propose new bounds on the domination number and on the independence number of a graph and show that our bounds compare favorably to recent ones. Our bounds are obtained by using the Bhatia-Davis inequality linking the variance, the expected value, the minimum, and the maximum of a random variable with bounded distribution.} }