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Graphs of given order and size and minimum algebraic connectivity

✍ Scribed by Türker Bıyıkoğlu; Josef Leydold


Book ID
113772133
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
364 KB
Volume
436
Category
Article
ISSN
0024-3795

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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 α(P n ) < α(Q n ) < α(W n ) < α(Z n ) < α(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