Let R be a commutative ring with identity and M an R-module. The Scalar-Product Graph of M is defined as the graph GR(M) with the vertex set M and two distinct vertices x and y are adjacent if and only if there exist r or s belong to R such that x = ry or y = sx. In this paper , we discuss connectivity and planarity of these graphs and computing diameter and girth of GR(M). Also we show some of these graphs is weakly perfect.
Nouri Jouybari, M., Talebi, Y., Firouzian, S. (2019). Scalar Product Graphs of Modules. International Journal of Nonlinear Analysis and Applications, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), 75-82. doi: 10.22075/ijnaa.2019.4398
MLA
M. Nouri Jouybari; Y. Talebi; S. Firouzian. "Scalar Product Graphs of Modules". International Journal of Nonlinear Analysis and Applications, 10, Special Issue ( Nonlinear Analysis in Engineering and Sciences), 2019, 75-82. doi: 10.22075/ijnaa.2019.4398
HARVARD
Nouri Jouybari, M., Talebi, Y., Firouzian, S. (2019). 'Scalar Product Graphs of Modules', International Journal of Nonlinear Analysis and Applications, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), pp. 75-82. doi: 10.22075/ijnaa.2019.4398
VANCOUVER
Nouri Jouybari, M., Talebi, Y., Firouzian, S. Scalar Product Graphs of Modules. International Journal of Nonlinear Analysis and Applications, 2019; 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)): 75-82. doi: 10.22075/ijnaa.2019.4398
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