The symmetry in the martingale inequality

  title={The symmetry in the martingale inequality},
  author={Sungchul Leea and Zhonggen Sua},
  • Sungchul Leea, Zhonggen Sua
  • Published 2001
In this paper, we establish a martingale inequality and develop the symmetry argument to use this martingale inequality. We apply this to the length of the longest increasing subsequences and the independence number of sparse random graphs. c © 2002 Elsevier Science B.V. All rights reserved. MSC: primary 60D05; 60F05; secondary 60K35; 05C05; 90C27