Diagonal checker-jumping and Eulerian numbers for color-signed permutations
2000 (English)In: The Electronic Journal of Combinatorics, ISSN 1077-8926, Vol. 7, R3Article in journal (Refereed) Published
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
IdentifiersURN: urn:nbn:se:oru:diva-41763ScopusID: 2-s2.0-2542575245OAI: oai:DiVA.org:oru-41763DiVA: diva2:781052