Maps of p-gons with a ring of q-gons

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dc.creatorDeza, M.
dc.creatorGrishukhin, V.
dc.date2000-05-27
dc.date2000-10-16
dc.date.accessioned2026-07-07T04:35:35Z
dc.date.available2026-07-07T04:35:35Z
dc.descriptionWe study 3-valent maps $M_n(p,q)$ consisting of a ring of $n$ $q$-gons whose the inner and outer domains are filled by $p$-gons, for $p,q \ge 3$. We describe a domain in the space of parameters $p$, $q$, and $n$, for which such a map may exist. With four infinite sequences of maps - prisms $M_p(p \ge 3,4)$, $M_4(4,q \ge 4)$, $M_4(5,5t+2 \ge 7)$, $M_4(5,5t+3 \ge 8)$, we give 20 sporadic ones. The maps whose $p$-gons form two paths are first two infinite sequences and 5 maps: $M_{28}(7,5)$, $M_{12}(6,5)$, $M_{10}(5,6)$, $M_{20}(5,7)$, $M_{2}(3,6)$
dc.description11 pages. to appear in Bulletin of the Institute of Combinatorics and its Applications
dc.identifierhttps://arxiv.org/abs/math/0005269
dc.identifierhttp://arxiv.org/abs/math/0005269
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59297
dc.subjectCombinatorics
dc.subjectGeneral Topology
dc.subjectGeometric Topology
dc.subject52B10, 05C30
dc.titleMaps of p-gons with a ring of q-gons
dc.typetext

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