We prove an exponential lower bound for the length of any resolution proof for the same set of clauses as the one used by Urquhart [13]. Our contribution is a signiļ¬cant simpliļ¬...
The measure dep-degree is a simple indicator for structural problems and complex dependencies on code-level. We model low-level dependencies between program operations as use-def ...
āK-shell (or k-core) graph decomposition methods were introduced as a tool for studying the structure of large graphs. K-shell decomposition methods have been recently proposed [...
Recently, spectral clustering (a.k.a. normalized graph cut) techniques have become popular for their potential ability at ļ¬nding irregularlyshaped clusters in data. The input to...
We show that for random bit strings, Up(n), with probability, p = 1 2 , the firstorder quantifier depth D(Up(n)) needed to distinguish non-isomorphic structures is (lg lg n), with...