How to build Lattice Network Graph from GPS Coordinates initially and then convert it into Small World Network??

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Suppose I have n objects with random GPS coordinates. My first requirement is to create lattice graph for these coordinates and then convert it into small world network. I found WattsStrogatz(N,K,beta) function in Matlab, however, i could not adapt it to work according with GPS coordinates. I would greately appriciate any help. Thank you in advance.

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