On the bigenus of the complete graphs

zbMath1497.05222arXiv2111.11671MaRDI QIDQ5869452

Timothy Sun

Publication date: 28 September 2022

Full work available at URL: https://arxiv.org/abs/2111.11671

zbMATH Keywords

EarthMoon probleminfinite family of edge-decompositions of complete graphs

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items (1)

Index 3 biembeddings of the complete graphs

Cites Work

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• Infinite families of bi-embeddings
• Biplanar graphs: A survey
• Variations on Ringel's earth-moon problem
• Die toroidale Dicke des vollständigen Graphen
• Solution of Heawood's empire problem in the plane.
• To the Moon and Beyond
• Minimal Decompositions of Complete Graphs into Subgraphs with Embeddability Properties
• The Non-Biplanar Character of the Complete 9-Graph
• Every planar graph with nine points has a nonplanar complement

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