Characterizing the polyhedral graphs with positive combinatorial curvature

A polyhedral graph G is called PCC if every vertex of G has strictly positive combinatorial curvature and the graph is not a prism or antiprism. In this thesis it is shown that the maximum order of a 3-regular PCC graph is 132 and the 3-regular PCC graphs which match that bound are enumerated. A new...

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Bibliographic Details
Main Author: Oldridge, Paul Richard
Other Authors: Myrvold, W. J. (Wendy Joanne)
Language:English
en
Published: 2017
Subjects:
PCC
Online Access:http://hdl.handle.net/1828/8030