The study of identities of hook pairs and of content pairs of partitions in [3] It is proved that for such partitions there are refinements of the identities in [3], and further identities exist which arise from half of each of the diagrams involved.
Generalized Hook and Content Numbers Identities
β Scribed by Amitai Regev
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 123 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0195-6698
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π SIMILAR VOLUMES
It is for these reasons that the conjecture, which seemed unlikely (and indeed was false), should be thought all the more remarkable for being so very nearly true. We are lead to push our luck and conjecture once again that no additional examples exist. The result (Theorem 6) of Section 6 is in this
## dedicated to professor w. t. tutte on the occasion of his eightieth birthday We present several new polynomial identities associated with matroids and geometric lattices and relate them to formulas for the characteristic polynomial and the Tutte polynomial. The identities imply a formula for th
In this paper we prove some identities involving Bernoulli and Stirling numbers, relation for two or three consecutive Bernoulli numbers, and various representations of Bernoulli numbers.
## Abstract A __rooted graph__ is a pair (__G,x__), where __G__ is a simple undirected graph and __x__ β __V__(__G__). If __G__ is rooted at __x__, its k__th rotation number h~k~__ (__G,x__) is the minimum number of edges in a graph __F__ of order |__G__| + __k__ such that for every __v__ β __V__(_