Fibonacci Identities and Graph Colorings

Simple item page
dc.creatorHillar, Christopher J.
dc.creatorWindfeldt, Troels
dc.date2008-05-07
dc.date2008-07-08
dc.date.accessioned2026-07-07T09:48:33Z
dc.date.available2026-07-07T09:48:33Z
dc.descriptionWe generalize both the Fibonacci and Lucas numbers to the context of graph colorings, and prove some identities involving these numbers. As a corollary we obtain new proofs of some known identities involving Fibonacci numbers such as \[F_{r+s+t} = F_{r+1}F_{s+1}F_{t+1} + F_r F_s F_t - F_{r-1}F_{s-1}F_{t-1}.\]
dc.description5 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0805.0992
dc.identifierhttp://arxiv.org/abs/0805.0992
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164254
dc.subjectCombinatorics
dc.subjectGeneral Mathematics
dc.subject05C15, 05A19, 05C38
dc.titleFibonacci Identities and Graph Colorings
dc.typetext

Files

Collections

arXiv