Extremal algebraic connectivities of certain caterpillar classes and symmetric caterpillars
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 136-157.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: A caterpillar is a tree in which the removal of all pendant vertices makes it a path. Let d $\geq 3$ and n $\geq 6$ be given. Let P d - 1 be the path of d - 1 vertices and S p be the star of p + 1 vertices. Let p = [p
Classification : 05C50, 15A48, 05C05
Mots-clés : Laplacian matrix, algebraic connectivity, caterpillar, bottleneck matrices, Perron branches, characteristic vertices 
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     title = {Extremal algebraic connectivities of certain caterpillar classes and symmetric caterpillars},
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     pages = {136--157},
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Rojo, Oscar; Medina, Luis; De Abreu, Nair M.M.; Justel, Claudia. Extremal algebraic connectivities of certain caterpillar classes and symmetric caterpillars. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 136-157. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a43/