Luciana Lee
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Luciana Lee has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Lilian Markenzon
Universidade Federal do Rio de Janeiro
1 shared publication - Nair Maria Maia de Abreu
Universidade Federal do Rio de Janeiro
1 shared publication - Oscar Rojo
Universidad Catolica del Norte, Antofagasta, Chile
1 shared publication
Latest Publications
- Open Access
- 1 January 2016
- Published by National Library of Serbia in Applicable Analysis and Discrete Mathematics
- Vol. 10 (1) , 88-101
On trees with maximum algebraic connectivity
In this paper, trees with fixed diameter and any number of vertices are investigated. A subclass of trees with diameter 2k is introduced, the diameter path trees (dp-trees). Two subclasses of dp-trees are defined in which we characterize the elements that maximize the algebraic connectivity. Also, it is proved that if any tree maximizes the algebraic connectivity over all trees with diameter 2k then it is a dp-tree. For such trees, a bound for the degrees of their vertices is given. In the case of the odd diameter, 2k-1, we show that P2k is the only tree that maximizes the algebraic connectivity.
- 1 January 2016
- Published by National Library of Serbia in Applicable Analysis and Discrete Mathematics
- Vol. 10 (1) , 88-101
Open AccessOn trees with maximum algebraic connectivity
In this paper, trees with fixed diameter and any number of vertices are investigated. A subclass of trees with diameter 2k is introduced, the diameter path trees (dp-trees). Two subclasses of dp-trees are defined in which we characterize the elements that maximize the algebraic connectivity. Also, it is proved that if any tree maximizes the algebraic connectivity over all trees with diameter 2k then it is a dp-tree. For such trees, a bound for the degrees of their vertices is given. In the case of the odd diameter, 2k-1, we show that P2k is the only tree that maximizes the algebraic connectivity.