Discussiones Mathematicae Graph Theory 28(2) (2008) 249-265
doi: 10.7151/dmgt.1404

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ON THE STRUCTURE OF PATH-LIKE TREES

F.A. Muntaner-Batle

Facultat de Ciències Polítiques i Jurídiques
Universitat Internacional de Catalunya
c/ Immaculada 22, 08017 Barcelona, Spain
e-mail: famb1es@yahoo.es

Miquel Rius-Font

Departament de Matemàtica Aplicada i Telemàtica
Universitat Politècnica de Catalunya
Jordi Girona Salgado 1, 08034 Barcelona, Spain

Abstract

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.

2000 Mathematics Subject Classifications: 05C05, 05C78.

References

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Received 23 May 2007
Revised 6 March 2008
Accepted 6 March 2008