Geodesic
A Note on Homogeneous Dendrites
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 85-93

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In graph - theoretic terms a homogeneous p-dendrite, p ≥ 2, is defined as a finite singly-rooted tree in which the root has valency 1 while every other vertex has valency 1 or p. More descriptively, a homogeneous p-dendrite may be imagined to start from its root as the main, or 0th order, branch which proceeds to the first - order branch point where it gives rise top first - order branches. Each of these either terminates at its other end (which is a second-order branch point) or it splits there again into p branches (which are of third order), and so on. The order of the dendrite is the highest order of a branch present in it. For completeness, a 0-th order dendrite is also allowed, this consists of the 0-th order branch alone. 
Melzak, Z. A. A Note on Homogeneous Dendrites. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 85-93. doi: 10.4153/CMB-1968-012-1
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