An Algorithm to Generate 4-Regular Planar Hamiltonian Graphs

In this paper, the problem of randomly generating 4-regular planar Hamiltonian graphs is discussed and a solution is described. An algorithm which efficiently generates the graphs in linear time and in a near-uniform manner is given. In addition, a formula is provided that determines the total numbe...

Full description

Bibliographic Details
Main Author: Ascigil, Mehmet
Format: Others
Published: TopSCHOLAR® 2006
Subjects:
Online Access:http://digitalcommons.wku.edu/theses/440
http://digitalcommons.wku.edu/cgi/viewcontent.cgi?article=1443&context=theses