A solution to the tennis ball problem

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dc.creatorde Mier, Anna
dc.creatorNoy, Marc
dc.date2003-11-14
dc.date.accessioned2026-07-07T05:02:54Z
dc.date.available2026-07-07T05:02:54Z
dc.descriptionWe present a complete solution to the so-called tennis ball problem, which is equivalent to counting lattice paths in the plane that use North and East steps and lie between certain boundaries. The solution takes the form of explicit expressions for the corresponding generating functions. Our method is based on the properties of Tutte polynomials of matroids associated to lattice paths. We also show how the same method provides a solution to a wide generalization of the problem.
dc.description9 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0311242
dc.identifierhttp://arxiv.org/abs/math/0311242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69198
dc.subjectCombinatorics
dc.subject05A15
dc.titleA solution to the tennis ball problem
dc.typetext

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