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Diagonal checker-jumping and Eulerian numbers for color-signed permutations
Department of Mathematics, KTH, Stockholm.ORCID iD: 0000-0002-6444-7878
NADA, KTH, Stockholm.
IMa, Mälardalens högskola, Västerås.
2000 (English)In: The Electronic Journal of Combinatorics, ISSN 1077-8926, Vol. 7, R3Article in journal (Refereed) Published
Abstract [en]

We introduce color-signed permutations to obtain a very explicit combinatorial interpretation of the q-Eulerian identities of Brenti and some generalizations. In particular, we prove an identity involving the golden ratio, which allows us to compute upper bounds on how high a checker can reach in a classical checker-jumping problem, when the rules are relaxed to allow also diagonal jumps.

Place, publisher, year, edition, pages
Clemson, USA: Electronic Journal of Combinatorics , 2000. Vol. 7, R3
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URN: urn:nbn:se:oru:diva-41763ScopusID: 2-s2.0-2542575245OAI: diva2:781052
Available from: 2015-01-15 Created: 2015-01-15 Last updated: 2015-10-01

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Eriksen, Niklas
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