Centers of n-fold tensor products of graphs
Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 3, pp. 491-501
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Formulas for vertex eccentricity and radius for the n-fold tensor product G = ⊗_i=1 ⁿG_i of n arbitrary simple graphs G_i are derived. The center of G is characterized as the union of n+1 vertex sets of form V₁×V₂×...×Vₙ, with V_i ⊆ V(G_i).
Keywords:
graph tensor product, graphs direct product, graph center
@article{DMGT_2004_24_3_a11,
author = {Bendall, Sarah and Hammack, Richard},
title = {Centers of n-fold tensor products of graphs},
journal = {Discussiones Mathematicae. Graph Theory},
pages = {491--501},
publisher = {mathdoc},
volume = {24},
number = {3},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGT_2004_24_3_a11/}
}
Bendall, Sarah; Hammack, Richard. Centers of n-fold tensor products of graphs. Discussiones Mathematicae. Graph Theory, Tome 24 (2004) no. 3, pp. 491-501. http://geodesic.mathdoc.fr/item/DMGT_2004_24_3_a11/