Relationships between algebraic connectivity and vertex connectivity

被引：0
|
作者：
Lucas, Clarianne Luciola de A. V. M. [1 ]
Del-Vecchio, Renata R. [2 ]
de Freitas, Maria Aguieiras A. [1 ,3 ]
do Nascimento, Joice Santos [4 ]
机构：
[1] Univ Fed Rio de Janeiro, COPPE PEP, Rio De Janeiro, Brazil
[2] Univ Fed Fluminense, IME, Niteroi, RJ, Brazil
[3] Univ Fed Rio de Janeiro, Rio De Janeiro, Brazil
[4] Univ Estado Rio de Janeiro, IME, Rio De Janeiro, Brazil
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2022年 / 41卷 / 03期
关键词：
Algebraic connectivity; Vertex connectivity; Laplacian integral graphs; Non-Laplacian integral graphs; LAPLACIAN; PRODUCT; GRAPHS;
D O I：
10.1007/s40314-022-01786-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the relationship between algebraic and vertex connectivities of graphs, studying the difference between these two parameters. Cographs belong to the class of Laplacian integral graphs. In this paper, we prove that the algebraic and vertex connectivities of these graphs are equal. We also build infinite families of Laplacian and non-Laplacian integral graphs satisfying distinct relationships between these connectivities.
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页数：15
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