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Topological Symmetry Groups of Complete Graphs in the 3‐Sphere
Author(s) -
Flapan Erica,
Naimi Ramin,
Tamvakis Harry
Publication year - 2006
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705022490
Subject(s) - automorphism , homeomorphism (graph theory) , mathematics , graph automorphism , symmetry group , topology (electrical circuits) , group (periodic table) , graph , symmetry (geometry) , homogeneous space , combinatorics , pure mathematics , physics , voltage graph , geometry , line graph , quantum mechanics
The orientation preserving topological symmetry group of a graph embedded in the 3‐sphere is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induced by an orientation preserving homeomorphism of the ambient space. We characterize all possible orientation preserving topological symmetry groups of embeddings of complete graphs in the 3‐sphere.