Robertson,s Apex Graph
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6-4-2022
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Robertson's Apex Graph

Robertson's apex graph is the 15-vertex graph illustrated above constructed by Neil Robertson as an example of an apex graph that is not
-reducible.
The graph may be constructed by adding an apex vertex which is connected to each degree-3 vertex of the (planar) rhombic dodecahedral graph, or by contracting two opposite vertices of the tesseract graph.
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