# Centers of n-fold tensor products of graphs

Sarah Bendall; Richard Hammack

Discussiones Mathematicae Graph Theory (2004)

- Volume: 24, Issue: 3, page 491-501
- ISSN: 2083-5892

## Access Full Article

top## Abstract

top## How to cite

topSarah Bendall, and Richard Hammack. "Centers of n-fold tensor products of graphs." Discussiones Mathematicae Graph Theory 24.3 (2004): 491-501. <http://eudml.org/doc/270399>.

@article{SarahBendall2004,

abstract = {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 $V_i ⊆ V(G_i)$.},

author = {Sarah Bendall, Richard Hammack},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {graph tensor product; graphs direct product; graph center; center; vertex eccentricity; radius},

language = {eng},

number = {3},

pages = {491-501},

title = {Centers of n-fold tensor products of graphs},

url = {http://eudml.org/doc/270399},

volume = {24},

year = {2004},

}

TY - JOUR

AU - Sarah Bendall

AU - Richard Hammack

TI - Centers of n-fold tensor products of graphs

JO - Discussiones Mathematicae Graph Theory

PY - 2004

VL - 24

IS - 3

SP - 491

EP - 501

AB - 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 $V_i ⊆ V(G_i)$.

LA - eng

KW - graph tensor product; graphs direct product; graph center; center; vertex eccentricity; radius

UR - http://eudml.org/doc/270399

ER -

## References

top- [1] G. Abay-Asmerom and R. Hammack, Centers of tensor products of graphs, Ars Combinatoria 74 (2005). Zbl1081.05090
- [2] G. Chartrand and L. Lesniak, Graphs and Digraphs (Third Edition, Chapman & Hall/CRC, Boca Raton, FL, 2000). Zbl0890.05001
- [3] W. Imrich and S. Klavžar, Product Graphs; Structure and Recognition (Wiley Interscience Series in Discrete Mathematics and Optimization, New York, 2000). Zbl0963.05002
- [4] S.-R. Kim, Centers of a tensor composite graph, Congr. Numer. 81 (1991) 193-204. Zbl0765.05093
- [5] R.H. Lamprey and B.H. Barnes, Product graphs and their applications, Modelling and Simulation 5 (1974) 1119-1123.

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.