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The r-Major Index
Journal of Combinatorial Theory, Series A
  • Don Rawlings, California Polytechnic State University - San Luis Obispo
Publication Date
The r-major index is a new permutation statistic that is suggested by the work of Carlitz and Gausner on Foulkes' skew hook rule for computing the r-Eulerian numbers. The new statistic (1) generalizes both the major index and the inversion number of a permutation and (2) leads to a q-analog of the r-Eulerian numbers.
Citation Information
Don Rawlings. "The r-Major Index" Journal of Combinatorial Theory, Series A Vol. 31 (1981) p. 175 - 183
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