Geodesic
On the structure of path-like trees
Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 2, pp. 249-265

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We study the structure of path-like trees. In order to do this, we introduce a set of trees that we call expandable trees. In this paper we also generalize the concept of path-like trees and we call such generalization generalized path-like trees. As in the case of path-like trees, generalized path-like trees, have very nice labeling properties.
Keywords: tree, path-like tree, Tₚ-tree, expandable tree, α-valuation, super edge-magic labeling, special super edge-magic labeling, harmonious labeling, super edge-antimagic labeling 
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Muntaner-Batle, F.; Rius-Font, Miquel. On the structure of path-like trees. Discussiones Mathematicae. Graph Theory, Tome 28 (2008) no. 2, pp. 249-265. http://geodesic.mathdoc.fr/item/DMGT_2008_28_2_a3/