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math-ph2015
Leaf-to-leaf distances in Catalan trees
Andrew M. Goldsborough, Jonathan M. Fellows, Matthew Bates +3
We study the average leaf-to-leaf path lengths on ordered Catalan tree graphs with nodes and show that these are equivalent to the average length of paths starting from the roo…
math-ph2014★ 3 cited
Leaf-to-leaf distances and their moments in finite and infinite m-ary tree graphs
Andrew M. Goldsborough, S. Alex Rautu, Rudolf A. Römer
We study the leaf-to-leaf distances on full and complete m-ary graphs using a recursive approach. In our formulation, leaves are ordered along a line. We find explicit analytical f…