Symmetries of Embedded Complete Bipartite Graphs

Authors

Erica Flapan, Pomona CollegeFollow
Nicole Lehle '09, Pomona College
Blake Mellor, Loyola Marymount University
Matt Pittluck, Loyola Marymount University
Xan Vongsathorn '09, Pomona College

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2014

Keywords

topological symmetry groups, spatial graphs, bipartite graphs

Abstract

We characterize which automorphisms of an arbitrary complete bipartite graph K_n,m can be induced by a homeomorphism of some embedding of the graph in S³.

Comments

Final published version can be found at: E. Flapan, N. Lehle, B. Mellor, M. Pittluck, X. Vongsathorn, Symmetries of Embedded Complete Bipartite Graphs, Fundamenta Mathematicae, Vol 226, (2014) 1–16. doi: 10.4064/fm226-1-1

Rights Information

© Instytut Matematyczny PAN, 2014

DOI

10.4064/fm226-1-1

Recommended Citation

E. Flapan, N. Lehle, B. Mellor, M. Pittluck, X. Vongsathorn, Symmetries of Embedded Complete Bipartite Graphs, Fundamenta Mathematicae, Vol 226, (2014) 1–16.