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- Title
Wiggles and Finitely Discontinuous k-to-1 Functions Between Graphs.
- Authors
Gauci, John Baptist; Hilton, Anthony J. W.; Stark, Dudley
- Abstract
A function between graphs is k-to-1 if each point in the codomain has precisely k preimages in the domain. In this article, we approach the topic of continuous, or finitely discontinuous, k-to-1 functions between graphs from three different points of view. Harrold (Duke Math J 5 (1939), 789-793) showed that there is no 2-to-1 continuous function from a closed interval onto a circle (i.e., from K2 onto C3). In the first part of this article, we describe all 3-to-1 continuous functions from an edge onto a cycle. Such a description is just one step away from a description of all 3-to-1 continuous functions from
- Subjects
CODOMAIN; CONTINUOUS functions; COMPLETE graphs; HOMEOMORPHISMS; INTERVAL functions; TOPOLOGICAL graph theory
- Publication
Journal of Graph Theory, 2013, Vol 74, Issue 3, p275
- ISSN
0364-9024
- Publication type
Article
- DOI
10.1002/jgt.21709