Volume 13, Issue 2 (10-2018)
IJMSI 2018, 13(2): 45-57 |
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Alizadeh Y. Szeged Dimension and $PI_v$ Dimension of Composite Graphs. IJMSI 2018; 13 (2) :45-57
URL: http://ijmsi.ir/article-1-796-en.html
URL: http://ijmsi.ir/article-1-796-en.html
Abstract:
Let G be a simple connected graph. In this paper, Szeged dimension and PI_v dimension of graph G are introduced. It is proved that if G is a graph of Szeged dimension 1 then line graph of $G$ is 2-connected. The dimensions of five composite graphs: sum, corona, composition, disjunction and symmetric difference with strongly regular components is computed. Also explicit formulas of Szeged and PI_v indices for these composite graphs is obtained.
Type of Study: Research paper |
Subject:
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