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Periodic graphs with coincident edges: folding-ladder and related graphs

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Date

2025-01-01

Authors

Delgado-Friedrichs, Olaf
O’Keeffe, Michael
Treacy, Michael M.J.

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Abstract

Ladder graphs admit a maximum-symmetry embedding in which edges coincide. In folding ladders, there are no zero-length edges. We give examples of high-symmetry 3-periodic ladders, particularly emphasizing the structures of 3-peri-odic vertex- and edge-transitive folding ladders. For these, the coincident-edge configuration is one of maximum volume for fixed edge length and has the same coordinates as (is isomeghethic to) a higher-symmetry 3-periodic graph.

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folding-ladder graphs, ladder graphs, transitivity

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http://www.scopus.com/inward/record.url?scp=85214320415&partnerID=8YFLogxK
 https://hdl.handle.net/1885/733752085

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ANU Research Publications

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Acta Crystallographica Section A: Foundations of Crystallography

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Journal article

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10.1107/S2053273324009562

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