Bull. Korean Math. Soc. 2014; 51(2): 511-517
Printed March 31, 2014
https://doi.org/10.4134/BKMS.2014.51.2.511
Copyright © The Korean Mathematical Society.
Xin Zhang
Xidian University
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 \cite{Fabrici}.
Keywords: 1-planar graph, light graph, triangle, discharging
MSC numbers: Primary 05C75; Secondary 05C10
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