TY - JOUR
T1 - Periodic graphs with coincident edges
T2 - folding-ladder and related graphs
AU - Delgado-Friedrichs, Olaf
AU - O’Keeffe, Michael
AU - Treacy, Michael M.J.
N1 - © 2025 International Union of Crystallography. All rights reserved.
PY - 2025/1/1
Y1 - 2025/1/1
N2 - 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.
AB - 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.
KW - folding-ladder graphs
KW - ladder graphs
KW - transitivity
UR - http://www.scopus.com/inward/record.url?scp=85214320415&partnerID=8YFLogxK
U2 - 10.1107/S2053273324009562
DO - 10.1107/S2053273324009562
M3 - Article
C2 - 39558850
AN - SCOPUS:85214320415
SN - 0108-7673
VL - 81
SP - 49
EP - 56
JO - Acta Crystallographica Section A: Foundations and Advances
JF - Acta Crystallographica Section A: Foundations and Advances
IS - Pt 1
ER -