@article {IOPORT.05706693, author = {Devroye, Luc and Gudmundsson, Joachim and Morin, Pat}, title = {On the expected maximum degree of Gabriel and Yao graphs.}, year = {2009}, journal = {Advances in Applied Probability}, volume = {41}, number = {4}, issn = {0001-8678}, pages = {1123-1140}, publisher = {Applied Probability Trust, Sheffield}, doi = {10.1239/aap/1261669589}, abstract = {Summary: Motivated by applications of Gabriel graphs and Yao graphs in wireless ad-hoc networks, we show that the maximum degree of a random Gabriel graph or Yao graph defined on $n$ points drawn uniformly at random from a unit square grows as $\Theta ( \log n / \log \log n)$ in probability.}, identifier = {05706693}, }