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2006
101views more  DM 2006»
14 years 9 months ago
Cycle double covers and spanning minors II
In this paper we continue our investigations from [HM01] regarding spanning subgraphs which imply the existence of cycle double covers. We prove that if a cubic graph G has a spann...
Roland Häggkvist, Klas Markström
DM
2006
105views more  DM 2006»
14 years 9 months ago
Large sets of t-designs through partitionable sets: A survey
The method of partitionable sets for constructing large sets of t-designs have now been used for nearly a decade. The method has resulted in some powerful recursive constructions ...
Gholamreza B. Khosrovshahi, Behruz Tayfeh-Rezaie
56
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DM
2006
84views more  DM 2006»
14 years 9 months ago
Indefinite summation with unspecified summands
We provide a new algorithm for indefinite nested summation which is applicable to summands involving unspecified sequences x(n). More than that, we show how to extend Karr's ...
Manuel Kauers, Carsten Schneider
DM
2006
85views more  DM 2006»
14 years 9 months ago
Transversal numbers of translates of a convex body
Let F be a family of translates of a fixed convex set M in Rn. Let (F) and (F) denote the transversal number and the independence number of F, respectively. We show that (F) (F) 8...
Seog-Jin Kim, Kittikorn Nakprasit, Michael J. Pels...
42
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DM
2006
59views more  DM 2006»
14 years 9 months ago
Factors of the Gaussian coefficients
Abstract. We present some simple observations on factors of the qbinomial coefficients, the q-Catalan numbers, and the q-multinomial coefficients. Writing the Gaussian coefficient ...
William Y. C. Chen, Qing-Hu Hou