Every planar graph without 4-cycles and 5-cycles is \((2, 6)\)-colorable
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Publication:1988563
DOI10.1007/s40840-019-00819-4zbMath1437.05077OpenAlexW2965948659MaRDI QIDQ1988563
Publication date: 23 April 2020
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-019-00819-4
Paths and cycles (05C38) Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)
Related Items (5)
Every planar graph without 4-cycles and 5-cycles is (3,3)-colorable ⋮ The \((3, 3)\)-colorability of planar graphs without 4-cycles and 5-cycles ⋮ Unnamed Item ⋮ Partitioning planar graphs without 4-cycles and 5-cycles into bounded degree forests ⋮ Partitioning planar graphs without 4-cycles and 6-cycles into a linear forest and a forest
Cites Work
- Unnamed Item
- Improper coloring of sparse graphs with a given girth. I: \((0,1)\)-colorings of triangle-free graphs
- Planar graphs with girth at least 5 are \((3, 5)\)-colorable
- Every planar graph with cycles of length neither 4 nor 5 is \((1,1,0)\)-colorable
- Planar graphs without cycles of length 4 or 5 are \((2, 0, 0)\)-colorable
- Planar graphs without 5-cycles and intersecting triangles are \((1, 1, 0)\)-colorable
- Defective 2-colorings of planar graphs without 4-cycles and 5-cycles
- Near-colorings: non-colorable graphs and NP-completeness
- Defective 2-colorings of sparse graphs
- (1,k)-Coloring of Graphs with Girth at Least Five on a Surface
- Vertex decompositions of sparse graphs into an edgeless subgraph and a subgraph of maximum degree at most k
- Defective colorings of graphs in surfaces: Partitions into subgraphs of bounded valency
- Improper choosability of graphs and maximum average degree
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