We give upper and lower bounds for the Kazhdan-Lusztig polynomials of any Coxeter group W . If W is finite we prove that, for any k โฅ 0, the kth coefficient of the Kazhdan-Lusztig polynomial of two elements u, v of W is bounded from above by a polynomial (which depends only on k) in l(v)l(u). In par
Lower bounds and upper bounds for chromatic polynomials
โ Scribed by Klaus Dohmen
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 204 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0364-9024
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โฆ Synopsis
Abstract
In this paper we give lower bounds and upper bounds for chromatic polynomials of simple undirected graphs on n vertices having m edges and girth exceeding g ยฉ 1993 John Wiley & Sons, Inc.
๐ SIMILAR VOLUMES
## Abstract We show that a __nearโdiagonal lower__ bound of the heat kernel of a Dirichlet form on a metric measure space with a regular measure implies an __onโdiagonal__ upper bound. If in addition the Dirichlet form is local and regular, then we obtain a __full offโdiagonal upper__ bound of the
Most engineering problems are solved by means of numerical methods that are able to provide only approximate solutions, for which it would be extremely useful to have efficient error estimators. Upper and lower bounds for quantities of integral character, like the stored magnetic energy or the ohmi