Color degree sum conditions for rainbow triangles in edge-colored graphs

DOI10.1007/s00373-016-1690-2zbMath1349.05112OpenAlexW2322878011MaRDI QIDQ343757

Ruonan Li, Sheng Gui Zhang, Bo Ning

Publication date: 29 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00373-016-1690-2

zbMATH Keywords

color degreeedge-colored graphsrainbow triangles

Mathematics Subject Classification ID

Paths and cycles (05C38) Coloring of graphs and hypergraphs (05C15)

Related Items (14)

Proper vertex-pancyclicity of edge-colored complete graphs without monochromatic paths of length three ⋮ Rainbow triangles in arc-colored digraphs ⋮ Vertex-disjoint rainbow cycles in edge-colored graphs ⋮ Edge-disjoint rainbow triangles in edge-colored graphs ⋮ Grünbaum colorings extended to non-facial 3-cycles ⋮ Maximum properly colored trees in edge-colored graphs ⋮ On sufficient conditions for rainbow cycles in edge-colored graphs ⋮ Color degree sum conditions for properly colored spanning trees in edge-colored graphs ⋮ Properly colored and rainbow C4 ${C}_{4}$'s in edge‐colored graphs ⋮ Properly edge-colored theta graphs in edge-colored complete graphs ⋮ Rainbow triangles in arc-colored tournaments ⋮ Proper vertex-pancyclicity of edge-colored complete graphs without monochromatic triangles ⋮ Disproof of a conjecture on the rainbow triangles in arc-colored digraphs ⋮ Note on rainbow triangles in edge-colored graphs

Cites Work

• Unnamed Item
• Rainbow \(C_3\)'s and \(C_4\)'s in edge-colored graphs
• Color degree and heterochromatic cycles in edge-colored graphs
• Monochromatic and heterochromatic subgraphs in edge-colored graphs - A survey
• Rainbow triangles in edge-colored graphs
• Pancyclic graphs. I

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