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The Critical Group of a Line Graph

Published:2012-05-03 Issue:3 Volume:16 Page:449-488
ISSN:0218-0006
Container-title:Annals of Combinatorics
language:en
Short-container-title:Ann. Comb.

Author:

Berget Andrew,Manion Andrew,Maxwell Molly,Potechin Aaron,Reiner Victor

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics

Link

http://link.springer.com/content/pdf/10.1007/s00026-012-0141-x.pdf

Reference21 articles.

1. Bacher R., de la Harpe P., Nagnibeda T.: The lattice of integral flows and the lattice of integral cuts on a finite graph. Bull. Soc. Math. France 125(2), 167–198 (1997)

2. Bai H.: On the critical group of the n-cube. Linear Algebra Appl. 369, 251–261 (2003)

3. Berget, A.: Critical groups of some regular line graphs. Available online at http://www.math.ucdavis.edu/~berget/research/ (2003)

4. Biggs N.: Algebraic potential theory on graphs. Bull. London Math. Soc. 29(6), 641–682 (1997)

5. Biggs N.: Algebraic Graph Theory, 2nd Ed. Cambridge University Press, Cambridge (1993)

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