“Hamilton-Stable Edge-Labellings of Graphs”

Authors

Takehiko Yamaguchi, Department of Mathematical Sciences

Document Type

Presentation Abstract

Presentation Date

5-14-2013

Abstract

We call an edge-labelling of a graph Hamilton-stable if it has constant weight on Hamilton cycles. In this presentation, we survey most of the existing knowledge about Hamilton-stable edge-labellings, consisting of the early papers by Chandrasekan (1986) and Krynski (1994), the study of SC-Hamiltonian graphs by Punnen and coauthors (2003−), the focused study of labellings of complete graphs by Kayll and coauthors (2003−), and the generalized study to abelian group labellings by Gimbel (2004).

Additional Details

Presentation of Master’s Project.

Masters Committee:
Mark Kayll, Chair (Mathematical Sciences),
George McRae (Mathematical Sciences),
Mary Riegel (Mathematical Sciences) Tuesday, May 14, 2013
1:10 pm in Math 103

Recommended Citation

Yamaguchi, Takehiko, "“Hamilton-Stable Edge-Labellings of Graphs”" (2013). Colloquia of the Department of Mathematical Sciences. 432.
https://scholarworks.umt.edu/mathcolloquia/432