37 connected eight-vertex prime character degree graphs occur for finite solvable groups (34 via direct products, 3 with diameter three), 56 do not occur, and 206 remain unclassified.
Lewis and Andrew Summers
2 Pith papers cite this work. Polarity classification is still indexing.
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math.GR 2years
2026 2representative citing papers
The authors complete their classification of prime character degree graphs for solvable groups by extending their construction to handle graphs in full generality.
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Classifying Prime Character Degree Graphs With Eight Vertices
37 connected eight-vertex prime character degree graphs occur for finite solvable groups (34 via direct products, 3 with diameter three), 56 do not occur, and 206 remain unclassified.