We give an alternative proof of the fact that a planar function cannot exist on groups of even order. The argument involved leads us to define a class of functions which we
For an arbitrary subset P of the reals, we define a function f: V P to be a Pdominating function of graph G = (V, E) if the sum of the function values over any
We prove that there are no n-agonal musquashes for n even with n = 6. This resolves a problem raised in Woodall's 1971 paper `Thrackles and Deadlock'. c 1999 Elsevier Sc...