A tree T is said to be bad, if it is the vertex-disjoint union of two stars plus an edge joining the center of the first star to an end-vertex of the second star. A tree T is good, if it is not bad. In this article, we prove a conjecture of Alan Hartman that, for any spanning tree T of K 2m , where
A Proof of Reutenauer's −q(n)Conjecture
✍ Scribed by William F. Doran IV
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 181 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
C. Reutenauer (Adv. in Math. 110 (1995), 234 246) has defined a new class of symmetric functions q * indexed by partitions *. He conjectures that for n 2, &q (n) is the sum of Schur symmetric functions. This paper provides a proof of his conjecture.
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