Self-dual graphs

DOI10.1016/0012-365X(94)00351-IzbMath0842.05016WikidataQ56686850 ScholiaQ56686850MaRDI QIDQ1910579

Brigitte Servatius, Herman J. Servatius

Publication date: 25 March 1996

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

zbMATH Keywords

self-dualitymatroidplanar graph

Mathematics Subject Classification ID

Trees (05C05) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (14)

Configured polytopes and extremal configurations ⋮ New dualities from old: generating geometric, Petrie, and Wilson dualities and trialities of ribbon graphs ⋮ The 24 symmetry pairings of self-dual maps on the sphere ⋮ Self-dual polyhedra of given degree sequence ⋮ Characterization of a family of rotationally symmetric spherical quadrangulations ⋮ Cellular automorphisms and self-duality ⋮ Self-dual spherical grids ⋮ The graphs behind reuleaux polyhedra ⋮ ON TANGLES AND MATROIDS ⋮ A modular design system based on the Star and Cross pattern ⋮ On the 2-sum in rigidity matroids ⋮ On the number of self-dual rooted maps ⋮ 𝑑-dimensional self-dual polytopes and Meissner polytopes ⋮ TESTING MUTUAL DUALITY OF PLANAR GRAPHS

Cites Work

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• The construction and classification of self-dual spherical polyhedra
• A non-involutory selfduality
• Parallel concepts in graph theory
• Self-dual maps on the sphere
• The 24 symmetry pairings of self-dual maps on the sphere
• Is Selfduality Involutory?
• A Combinatorial Decomposition Theory
• Connectivity in Matroids

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