Related Graphs
Generalized Fibonacci cubes were presented by Hsu & Chung (1993) based on the k-th order Fibonacci numbers, which were later further extended to a larger class of networks called the Linear Recursive Networks by Hsu, Chung & Das (1997) based on more general forms of linear recursions. Wu (1997) modified the second order Fibonacci cubes based on different initial conditions. Another related graph is the Lucas cube, a graph with a Lucas number of vertices defined from the Fibonacci cube by forbidding a 1 bit in both the first and last positions of each bitstring; Dedó, Torri & Salvi (2002) investigated the coloring properties of both Fibonacci cubes and Lucas cubes.
Read more about this topic: Fibonacci Cube
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