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The smallest values of algebraic connectivity for trees

✍ Scribed by Jian Xi Li, Ji Ming Guo, Wai Chee Shiu


Book ID
118792052
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2012
Tongue
English
Weight
235 KB
Volume
28
Category
Article
ISSN
1439-7617

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In this paper, we first determine that the first four trees of order n 9 with the smallest algebraic connectivity are P n , Q n , W n and Z n with Ξ±(P n ) < Ξ±(Q n ) < Ξ±(W n ) < Ξ±(Z n ) < Ξ±(T ), where T is any tree of order n other than P n , Q n , W n , and Z n . Then we consider the effect on the L