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Algebraic connectivity on a subclass of caterpillars

โœ Scribed by Oscar Rojo; Israel Rocha; Vilmar Trevisan


Book ID
108120810
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
185 KB
Volume
37
Category
Article
ISSN
1571-0653

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On the algebraic connectivity of graphs
โœ Jason J. Molitierno ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 295 KB

We find an upper bound on the algebraic connectivity of graphs of various genus. We begin by showing that for fixed k 1, the graph of genus k of largest algebraic connectivity is a complete graph. We then find an upper bound for noncomplete graphs of a fixed genus k 1 and we determine the values of