We present a deterministic algorithm running in space O log2 n= log log n solving the connectivity problem on strongly unambiguous graphs. In addition, we present an O(log n) time-bounded algorithm for this problem running on a parallel pointer machine.

“Garbage in. garbage out” is a well-known phrase in computer analysis, and one that comes to mind when mining Web data to draw conclusions about Web users. The challenge is that data analysts wish to infer patterns of client-side behavior from server-side data. However, because only a fraction of the user’s actions ever reaches the Web server, analysts must rely on incomplete data. In this pape...

We show that the modified log-Sobolev constant for a natural Markov chain which converges to an $r$-homogeneous strongly log-concave distribution is at least $1/r$. Applications include sharp mixing time bound bases-exchange walk matroids, and concentration Lipschitz functions over these distributions.