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The splitting number of the complete graph

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Publication:1821790
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DOI10.1007/BF02582960zbMath0617.05027MaRDI QIDQ1821790

Gerhard Ringel, Nora Hartsfield, Brad Jackson

Publication date: 1985

Published in: Graphs and Combinatorics (Search for Journal in Brave)


zbMATH Keywords

embeddingcomplete graphvertex splitting


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10)


Related Items (11)

The toroidal splitting number of the complete graph \(K_ n\) ⋮ The splitting number of the complete graph in the projective plane ⋮ Splitting plane graphs to outerplanarity ⋮ Planarizing graphs and their drawings by vertex splitting ⋮ Efficient generation of different topological representations of graphs beyond-planarity ⋮ Representations of graphs and networks (coding, layouts and embeddings) ⋮ Efficient Generation of Different Topological Representations of Graphs Beyond-Planarity ⋮ Research problems ⋮ On the planar split thickness of graphs ⋮ SPLITTING NUMBER is NP-complete ⋮ Heawood's empire problem



Cites Work

  • Solution of Heawood's empire problem in the plane.
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