1. A processor implemented path computation method, comprising: defining photonic constraints associated with a network, wherein the photonic constraints comprise wavelength capability constraints at each node in the network, wavelength availability constraints at each node in the network, and nodal connectivity constraints of each node in the network; performing a constrained path computation in the network using Dijkstra's algorithm on a graph model of the network with the photonic constraints considered therein; modifying the graph model to reflect the photonic constraints representing nodes in the network as vertices in the graph model; utilizing directed edges in the graph model to apply the wavelength capability constraints and the wavelength availability constraints; and utilizing connectivity pairs as a subset of edges incident on each of the vertices to apply the nodal connectivity constraints.