On the area of constrained polygonal linkages

DOI10.1016/j.topol.2018.02.004zbMath1385.52012arXiv1702.07468OpenAlexW2601671438MaRDI QIDQ1705844

Dirk Siersma, Gaiane Yu. Panina

Publication date: 16 March 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07468

zbMATH Keywords

critical pointMorse indexpitchfork bifurcationtwo-terminal series-parallel graphpartial two-tree

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Polytopes and polyhedra (52B99) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Linkage (14M06) Critical points and critical submanifolds in differential topology (57R70)

Cites Work

• Unnamed Item
• On the area of a polygonal linkage
• Morse index of a cyclic polygon
• Invitation to topological robotics
• Cyclic polygons are critical points of area
• Parallel recognition of series-parallel graphs
• Characterizing graphs with convex and connected Cayley configuration spaces
• Nondegenerate critical manifolds
• Morse index of a cyclic polygon. II
• Steiner trees, partial 2–trees, and minimum IFI networks
• Oriented area is a perfect Morse function
• On the moduli space of polygons in the Euclidean plane

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