The crossing number ofK3,n in a surface
R. Bruce Richter, Jozef ir� · Journal of Graph Theory · 1996
In this article, we show that the crossing number of K3,n in a surface with Euler genus ϵ is ⌊n/(2ϵ + 2)⌋ (n − (ϵ + 1) {1 + ⌊n/(2ϵ + 2)⌋}). This generalizes a result of Guy and Jenkyns, who obtained this result for the torus. © 1996 John Wiley & Sons, Inc.