\((1,0,0)\)-colorability of planar graphs without prescribed short cycles
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Publication:498436
DOI10.1007/s10878-013-9653-5zbMath1331.90061OpenAlexW2053644263MaRDI QIDQ498436
Jinghan Xu, Yuehua Bu, Ying Qian Wang
Publication date: 28 September 2015
Published in: Journal of Combinatorial Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10878-013-9653-5
Programming involving graphs or networks (90C35) Combinatorial optimization (90C27) Coloring of graphs and hypergraphs (05C15)
Related Items (2)
Planar graphs without cycles of length 4 or 5 are \((2, 0, 0)\)-colorable ⋮ Planar graphs without adjacent cycles of length at most five are \((1,1,0)\)-colorable
Cites Work
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- Every planar graph with cycles of length neither 4 nor 5 is \((1,1,0)\)-colorable
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- On the 3-colorability of planar graphs without 4-, 7- and 9-cycles
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- Planar graphs without cycles of length from 4 to 7 are 3-colorable
- Planar graphs with cycles of length neither 4 nor 6 are \((2,0,0)\)-colorable
- Planar graphs with cycles of length neither 4 nor 7 are \((3,0,0)\)-colorable
- Planar graphs without 4, 6, 8-cycles are 3-colorable
- Planar graphs without 4-,5- and 8-cycles are 3-colorable
- Defective colorings of graphs in surfaces: Partitions into subgraphs of bounded valency
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