A uni-directional ring wavelength-routing network with fibers oriented in the clockwise direction has N nodes, numbered 0, 1, ...,N 1 in clockwise order. There are no wavelength converters at the nodes. One lightpath must be established from every node i to the following 1 nodes (N/k is an integer): i + k, i + 2k, ..., i + -1)k where all of these node numbers are modulo N. (a) Draw the network and the lightpaths for N = 8 and k = : 2. How many transmitters and receivers k = must each node have? (b) Find the load of the given set of lightpaths. (C) Show a wavelength assignment for the lightpaths that uses the same number of wavelengths as the load in (b). A uni-directional ring wavelength-routing network with fibers oriented in the clockwise direction has N nodes, numbered 0, 1, ...,N 1 in clockwise order. There are no wavelength converters at the nodes. One lightpath must be established from every node i to the following 1 nodes (N/k is an integer): i + k, i + 2k, ..., i + -1)k where all of these node numbers are modulo N. (a) Draw the network and the lightpaths for N = 8 and k = : 2. How many transmitters and receivers k = must each node have? (b) Find the load of the given set of lightpaths. (C) Show a wavelength assignment for the lightpaths that uses the same number of wavelengths as the load in (b)