Simple Polygons with an Infinite Sequence of Deflations (2001)
by
Thomas Fevens
,
Antonio Hernandez
,
Antonio Mesa
,
Patrick Morin
,
Michael Soss
| Citations: | 6 - 0 self |
BibTeX
@MISC{Fevens01simplepolygons,
author = {Thomas Fevens and Antonio Hernandez and Antonio Mesa and Patrick Morin and Michael Soss},
title = {Simple Polygons with an Infinite Sequence of Deflations},
year = {2001}
}
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Abstract
Given a simple polygon in the plane, a deflation is defined as the inverse of a flip in the Erdos-Nagy sense. In 1993 Bernd Wegner conjectured that every simple polygon admits only a finite number of deflations.
Citations
| 30 | Polygons have ears - Meisters - 1975 |
| 27 | Locked and unlocked polygonal chains in 3D - Biedl, Demaine, et al. - 1999 |
| 21 | The Erd6s-Nagy theorem and its ramifications - Toussaint - 1999 |
| 16 | Convexi of polygons by and - Grunbaum, Zaks - 1998 |
| 12 | Knotting of regular polygons in 3-space - Millett - 1994 |
| 10 | Problem number 3763 - Erdos - 1935 |
| 10 | Partial inflation of closed polygons in the plane. Beiträge zur Algebra und Geometrie - Wegner - 1993 |
| 7 | On some properties of shortest Hamiltonian circuits - Quintas, Supnick - 1965 |
| 6 | Anthropomorphic polygons - Toussaint - 1991 |
| 3 | de Sz.-Nagy. Solution of problem 3763 - B'ela - 1939 |
| 2 | Partial deflation of closed polygons in the plane. Manuscript in preparation - D'iaz-B'anez, Gomez, et al. - 1999 |
