Paper by Erik D. Demaine
- Prosenjit Bose, Erik D. Demaine, Ferran Hurtado, John Iacono, Stefan Langerman, and Pat Morin, “Geodesic Ham-Sandwich Cuts”, Discrete & Computational Geometry, volume 37, number 3, March 2007, pages 325–339.
Let P be a simple polygon with m vertices, k of which are
reflex, and which contains r red points and b blue points in its
n = m + r + b. A
ham-sandwich geodesic is a shortest path in P between two points
on the boundary of P that simultaneously bisects the red points and the
blue points. We present an O(n log k)-time
algorithm for finding a ham-sandwich geodesic. We also show that this
algorithm is optimal in the algebraic computation tree model when
parameterizing the running time with respect to n and k.
- This paper is also available from SpringerLink.
- The paper is 13 pages.
- The paper is available in PostScript (532k), gzipped PostScript (178k), and PDF (197k).
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- Related papers:
- GeodesicHamSandwich_SoCG2004 (Geodesic Ham-Sandwich Cuts)
See also other papers by Erik Demaine.
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