The center (periphery) of a graph is the set of vertices with minimum (maximum) eccentricity. In this paper, the structure of centers and peripheries of some classes of composite graphs are determined. The relations between eccentricity, radius and diameter of such composite graphs are also investigated. As an application we determine the center and periphery of some chemical graphs such as nanotorus and nanotubes covered by C4.
Extended Abstracts of the 6th Conference and Workshop on Mathematical Chemistry, Persian Gulf University, Bushehr, February 13 - 14, 2013 (Ed. M. Mogharrab)
Yarahmadi, Z., & Moradi, S. (2014). The Center and Periphery of Composite Graphs. Iranian Journal of Mathematical Chemistry, 5(Supplement 1), 35-44. doi: 10.22052/ijmc.2014.7773
MLA
Z. Yarahmadi; S. Moradi. "The Center and Periphery of Composite Graphs", Iranian Journal of Mathematical Chemistry, 5, Supplement 1, 2014, 35-44. doi: 10.22052/ijmc.2014.7773
HARVARD
Yarahmadi, Z., Moradi, S. (2014). 'The Center and Periphery of Composite Graphs', Iranian Journal of Mathematical Chemistry, 5(Supplement 1), pp. 35-44. doi: 10.22052/ijmc.2014.7773
VANCOUVER
Yarahmadi, Z., Moradi, S. The Center and Periphery of Composite Graphs. Iranian Journal of Mathematical Chemistry, 2014; 5(Supplement 1): 35-44. doi: 10.22052/ijmc.2014.7773
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