Algebraic connectivity of trees with a pendant edge of infinite weight
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چکیده
Let G be a weighted graph. Let v be a vertex of G and let Gω denote the graph obtained by adding a vertex u and an edge {v, u} with weight ω to G. Then the algebraic connectivity μ(Gω) of G v ω is a nondecreasing function of ω and is bounded by the algebraic connectivity μ(G) of G. The question of when lim ω→∞ v ω) is equal to μ(G) is considered and answered in the case that G is a tree.
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تاریخ انتشار 2017