On the Hamiltonian Number of a Plane Graph
The Hamiltonian number of a connected graph is the minimum of the lengths of the closed spanning walks in the graph. In 1968, Grinberg published a necessary condition for the existence of a Hamiltonian cycle in a plane graph, formulated in terms of the degrees of its faces. We show how Grinberg’s th...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Zielona Góra
2019-02-01
|
Series: | Discussiones Mathematicae Graph Theory |
Subjects: | |
Online Access: | https://doi.org/10.7151/dmgt.2084 |