Duality in Geometric Graphs: Vector Graphs, Kirchhoff Graphs and Maxwell Reciprocal Figures

Duality in Geometric Graphs: Vector Graphs, Kirchhoff Graphs and Maxwell Reciprocal Figures

We compare two mathematical theories that address duality between cycles and vertex-cuts of graphs in geometric settings. First, we propose a rigorous definition of a new type of graph, vector graphs. The special case of R2-vector graphs matches the intuitive notion of drawing graphs with edges take...

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Bibliographic Details
Main Authors: Tyler Reese, Randy Paffenroth, Joseph D. Fehribach
Format: Article
Language:English
Published: MDPI AG 2016-02-01
Series:Symmetry
Subjects:
Kirchhoff graphs
geometric graphs
duality
Maxwell reciprocals
Online Access:http://www.mdpi.com/2073-8994/8/3/9

Internet

http://www.mdpi.com/2073-8994/8/3/9

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