This paper has been published in the Journal of Statistical Software (Meyer, Zeileis, and Hornik 2006) and describes the “strucplot” framework for the visualization of multiway contingency tables. Strucplot displays include hierarchical conditional plots such as mosaic, association, and sieve plots, and can be combined into more complex, specialized plots for visualizing conditional independenc...

A conjecture of Sokal [22] regarding the domain of non-vanishing for independence polynomials of graphs, states that given any natural number ∆ ≥ 3, there exists a neighborhood in C of the interval [0, (∆−1) ∆−1 (∆−2)∆ ) on which the independence polynomial of any graph with maximum degree at most ∆ does not vanish. We show here that Sokal’s Conjecture holds, as well as a multivariate version, ...