If is a weighted tree with weights assigned to each vertex , then is perfectly weighted if the matrix
where is the adjacency matrix of (Butske et al. 1999).
If is a weighted tree with weights assigned to each vertex , then is perfectly weighted if the matrix
where is the adjacency matrix of (Butske et al. 1999).
Weisstein, Eric W. "Perfectly Weighted Tree." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PerfectlyWeightedTree.html