@article{92f5be0b6fa64a0d97788d78e319393c,
title = "The smallest values of algebraic connectivity for trees",
abstract = "The algebraic connectivity of a graph G is the second smallest eigenvalue of its Laplacian matrix. Let ℐ n be the set of all trees of order n. In this paper, we will provide the ordering of trees in ℐ n up to the last eight trees according to their smallest algebraic connectivities when n ≥ 13. This extends the result of Shao et al.",
keywords = "algebraic connectivity, ordering, Tree",
author = "Li, {Jian Xi} and Guo, {Ji Ming} and Shiu, {Wai Chee}",
note = "Funding Information: Received June 25, 2010, accepted May 5, 2011 Supported by FRG, Hong Kong Baptist University, National Science Foundation (NSF) of China (Grant Nos. 10871204, 11101358), NSF of Fujian (Grant Nos. 2011J05014, 2011J01026), Project of Fujian Education Department (Grant No. JA11165), Fundamental Research Funds for the Central Universities (Grant No. 09CX04003A), Research Fund of Zhangzhou Normal University (Grant No. SJ1004) 1) Corresponding author",
year = "2012",
month = sep,
doi = "10.1007/s10114-012-0350-6",
language = "English",
volume = "28",
pages = "2021--2032",
journal = "Acta Mathematica Sinica, English Series",
issn = "1439-8516",
publisher = "Springer Verlag",
number = "10",
}