The increasing use of mobile devices has triggered the development of location based services (LBS). By providing location information to LBS, mobile users can enjoy variety of useful applications utilizing location information, but might suffer the troubles of private information leakage. Location information of mobile users needs to be kept secret while… (More)
The goal of this work is to study how increased variability in the degree distribution impacts the global connectivity properties of a large network. We approach this question by modeling the network as a uniform random graph with a given degree sequence. We analyze the effect of the degree variability on the approximate size of the largest connected… (More)
We introduce the truncation method for solving a backward heat conduction problem. For this method, we give the stability analysis with new error estimates. Meanwhile, we investigate the roles of regularization parameters in these two methods. These estimates prove that our method is effective.