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$\mathbb{G}$-planar
abelian groups
Andrea DeWitt, Jillian Hamilton, Alys Rodriguez and Jennifer Daniel
Vol. 3 (2010), No. 2, 233–240
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Abstract |
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For a group with generating set , the -graph of , denoted by , is the graph whose vertices are distinct cosets of in . Two distinct vertices are joined by an edge when the set intersection of the cosets is nonempty. In this paper, we explore the planarity of . |
Keywords
groups, graphs, generators
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Mathematical Subject Classification 2000
Primary: 05C25, 20F05
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Milestones
Received: 26 April 2010
Revised: 17 June 2010
Accepted: 24 June 2010
Published: 11 August 2010
Communicated by Scott Chapman
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Authors |
| Andrea DeWitt | |
| Lamar University Department of Mathematics Beaumont, TX 77710 United States |
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| Jillian Hamilton | |
| Lamar University Department of Mathematics Beaumont, TX 77710 United States |
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| Alys Rodriguez | |
| Lamar University Department of Mathematics Beaumont, TX 77710 United States |
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| Jennifer Daniel | |
| Lamar University Department of Mathematics Beaumont, TX 77710 United States |
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