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In this contribution, we present a novel approach for the analysis of cross-reference structures in digital dictionaries on the basis of the complete dictionary database. Using paradigmatic items in the German Wiktionary as an example, we show how analyses based on graph theory can be fruitfully applied in this context, e. g. to gain an overview of paradigmatic references as a whole or to detect closely connected groups of headwords. Furthermore, we connect information about cross-reference structures with corpus frequencies and log file statistics. In this way, we can answer questions such as the following ones: Are frequent words paradigmatically linked more closely than others? Are closely linked headwords or headwords that stand more solitary in the dictionary visited significantly more often?
We start by trying to answer a question that has already been asked by de Schryver et al. (2006): Do dictionary users (frequently) look up words that are frequent in a corpus. Contrary to their results, our results that are based on the analysis of log files from two different online dictionaries indicate that users indeed look up frequent words frequently. When combining frequency information from the Mannheim German Reference Corpus and information about the number of visits in the Digital Dictionary of the German Language as well as the German language edition of Wiktionary, a clear connection between corpus and look-up frequencies can be observed. In a follow-up study, we show that another important factor for the look-up frequency of a word is its temporal social relevance. To make this effect visible, we propose a de-trending method where we control both frequency effects and overall look-up trends.