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On a bound on algebraic connectivity: the case of equality

✍ Scribed by Stephen J. Kirkland; Michael Neumann; Bryan L. Shader


Book ID
110419677
Publisher
Springer
Year
1998
Tongue
English
Weight
474 KB
Volume
48
Category
Article
ISSN
0011-4642

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A sharp upper bound on algebraic connect
✍ M. Aouchiche; P. Hansen; D. StevanoviΔ‡ πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 760 KB

Let G be a connected graph of order n. The algebraic connectivity of G is the second smallest eigenvalue of the Laplacian matrix of G. A dominating set in G is a vertex subset S such that each vertex of G that is not in S is adjacent to a vertex in S. The least cardinality of a dominating set is the