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Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns
AbstractMotivated by the study of Mahonian statistics, in 2000, Babson and Steingrímsson [Sém. Lothar. Comb] introduced the notion of a "generalized permutation pattern" (GP) which generalizes the concept of "classical" permutation pattern introduced by Knuth in 1969. The invention of GPs led to a large number of publications related to properties of these patterns in permutations and words. Since the work of Babson and Steingrímsson, several further generalizations of permutation patterns havedoi:10.1515/integ.2010.011 fatcat:dhywbtbmrjbpfdnw67gcbqaf54