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math.CO2025
Orientable triangular embeddings of the complete graphs on 36s vertices from noncyclic current graphs
Avinh Huynh, Timothy Sun
Mark Jungerman's 1975 Ph.D. thesis presents several infinite families of index 2 current graphs that generate triangular embeddings of complete or near-complete graphs. However, th…
math.CO2025
Revisiting Cases 2 and 11 of the Map Color Theorem
Timothy Sun
In 1968, Ringel and Youngs solved the remaining cases of the orientable Map Color Theorem by finding genus embeddings of the complete graphs , for sufficiently large $n \equiv…