Immersed polygons and their diagonal triangulationsстатья
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:In the present work we introduce a concept of ``immersed polygon'' --- a
natural generalization of the standard planar polygon, bounded by a closed
(embedded) polygonal line, to the case of a polygonal line with
selfintersections. It is proved that any immersed polygon admits a
diagonal triangulation, and also each closed polygonal line obtained from
an embedded monotonic one by adding a segment is a boundary of some
immersed polygon. Also, for any planar non-degenerated linear tree, we
construct an immersed polygon containing this tree.