Analysis of a new skip list variant

Skip lists were introduced by Pugh (10) and analysed in (7; 4; 9) and also some other papers. We assume that the reader has a certain familiarity with skip lists, if (s)he wants to understand the origin of the problem. To understand the analysis that we perform, no such prerequisites are necessary. The variation that was suggested in (1) is best understood looking at the following example, taken from (1): The data (3; 6; 7; 9; 12; 17; 19; 21; 25; 26) have a certain level associated to them, which follows the geometric law Pflevel is = kg = pqk 1. And they are linked as indicated, which one can easily understand from the diagram.