Bulletin of the Korean Mathematical Society (대한수학회보)

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LIGHT 3-CYCLES IN 1-PLANAR GRAPHS WITH DEGREE RESTRICTIONS

  • Zhang, Xin (Department of Mathematics Xidian University)
  • Received : 2012.12.13
  • Published : 2014.03.31
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Abstract

In this paper, we prove that the 3-cycle is light in the family of 1-planar graphs with minimum vertex degree at least 5 and minimum edge degree at least 12. This generates a known result of Fabrici and Madaras [8].

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References

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