Dear community,

I am working on a project where I have generated a nearest neighbor graph (nnG). Here is a simplified version of the code:

data = {{7.3, -4.9, 0.2}, {7.5, -3.5, 0.1}, {4.1, -2.8, 0.3}, {0.2, 7.3, 0.1}, {7.2, -4.4, 0.3}, {-0.0, 3.5, 0.4}, {-3.2, -1.6, 0.2}, {-2.0, 4.7, 0.2}, {-7.3, 0.0, 0.3}, {-6.4, 1.6, 0.3}, {-0.4, 3.1, 0.2}, {-4.3, 0.7, 0.5}};

distanceF[u_, v_] := Sqrt[(u[[1]] - v[[1]])^2 + (u[[2]] - v[[2]])^2] + 2 k1/(k2 + (u[[3]] + v[[3]]));

k1 = 0.1;
k2 = 0.001;

nnG = NearestNeighborGraph[data[[All, 1 ;; 2]], 5, DirectedEdges -> False, DistanceFunction -> EuclideanDistance]

Now, I would like to modify the edge weights of the graph based on the distances computed by the custom distance function distanceF, using the 3 columns of the original data, instead of only the first 2 ones. How can I achieve this in Mathematica?

The idea is to keep the nnG previously computed, while only changing the edge weights.

Any guidance would be greatly appreciated.

Thank you!