Combinatorics and Graph Theory


Labeled Trees with Fixed Node Label Sum

Authors: Richard J. Mathar

The non-cyclic graphs known as trees may be labeled by assigning positive integer numbers (weights) to their vertices or to their edges. We count the trees up to 10 vertices that have prescribed sums of weights, or, from the number-theoretic point of view, we count the compositions of positive integers that are constrained by the symmetries of trees.

Comments: 70 Pages.

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Submission history

[v1] 2018-05-10 10:33:08

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