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Shortest paths in simply connected regions in \({\mathbb{R}}^ 2\)

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Publication:910004
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DOI10.1016/0001-8708(89)90054-6zbMath0695.52004OpenAlexW2061842680MaRDI QIDQ910004

Peter L. Renz, Richard D. Bourgin

Publication date: 1989

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(89)90054-6


zbMATH Keywords

shortest pathJordan region


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40)


Related Items (5)

Planar finitely Suslinian compacta ⋮ Shortest paths in arbitrary plane domains ⋮ Planar compact sets whose intersections are starshaped via orthogonally convex paths ⋮ Shortest curves in planar regions with curved boundary ⋮ A Krasnosel'skii-type theorem for paths of bounded length



Cites Work

  • Shortest curves in planar regions with curved boundary
  • Convex Analysis
  • A Generalization of a Theorem of Fenchel
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