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Recursive generation of simple planar quadrangulations with vertices of degree 3 and 4

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Date

2010

Authors

Hasheminezhad, Mahdieh
McKay, Brendan

Journal Title

Journal ISSN

Volume Title

Publisher

Technical University Press Zielona Gora

Abstract

We describe how the simple planar quadrangulations with vertices of degree 3 and 4, whose duals are known as octahedrites, can all be obtained from an elementary family of starting graphs by repeatedly applying two expansion operations. This allows for construction of a linear time generator of all graphs in the class with at most a given order, up to isomorphism.

Description

Keywords

Keywords: Generation; Octahedrite; Planar graph; Quadrangulation

Citation

URI

http://hdl.handle.net/1885/64358

Collections

ANU Research Publications

Source

Discussiones Mathematicae - Graph Theory

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

Restricted until

2037-12-31

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