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- W1034503703 abstract "Publisher Summary The study of various statistics on words is a chapter of combinatorics. One of these statistics is the so-called “Major Index” of a word. It plays a role in the theory of representations of the symmetric group. The chapter presents a generalization, the “load”, which used to prove Foulkes' conjecture—that is, to supply a q-analogue of Kostka numbers. It turns out that the load may be defined in terms of a minimization problem. The approach has been developed without entering into the algebraic background or applications. A special feature of the problem is that a solution is given by the simplest minded algorithm, a not too frequent occurrence. Therefore, it has been suspected that it is a very degenerate special case of a more general question already encountered in operations research." @default.
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- W1034503703 date "1980-01-01" @default.
- W1034503703 modified "2023-10-01" @default.
- W1034503703 title "A New Statistics on Words" @default.
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- W1034503703 doi "https://doi.org/10.1016/s0167-5060(08)70709-x" @default.
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