Title
Generating random connected planar graphs.
Abstract
Connected planar graphs are of interest to a variety of scholars. Being able to simulate a database of such graphs with selected properties would support specific types of inference for spatial analysis and other network-based disciplines. This paper presents a simple, efficient, and flexible connected planar graph generator for this purpose. It also summarizes a comparison between an empirical set of specimen graphs and their simulated counterpart set, and establishes evidence for positing a conjecture about the principal eigenvalue of connected planar graphs. Finally, it summarizes a probability assessment of the algorithm’s outcomes as well as a comparison between the new algorithm and selected existing planar graph generators.
Year
DOI
Venue
2018
10.1007/s10707-018-0328-3
GeoInformatica
Keywords
Field
DocType
Adjacency matrix, Connected graph, Planar graph, Random sampling
Adjacency matrix,Data mining,Discrete mathematics,Graph,Inference,Sampling (statistics),Connectivity,Conjecture,Geography,Eigenvalues and eigenvectors,Planar graph
Journal
Volume
Issue
ISSN
22
4
1384-6175
Citations 
PageRank 
References 
0
0.34
3
Authors
1
Name
Order
Citations
PageRank
Daniel A. Griffith19123.76