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On the Levi graph
of point-line configurations
Jessica Hauschild, Jazmin Ortiz and Oscar Vega
Vol. 8 (2015), No. 5, 893–900
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Abstract |
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We prove that the well-covered dimension of the Levi graph of a point-line configuration with points, lines, lines incident with each point, and every line containing points is equal to , whenever . |
Keywords
Levi graph, maximal independent sets, configurations
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Mathematical Subject Classification 2010
Primary: 05B30
Secondary: 51E05, 51E30
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Milestones
Received: 4 October 2014
Revised: 28 December 2014
Accepted: 2 January 2015
Published: 28 September 2015
Communicated by Joseph A. Gallian
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Authors |
| Jessica Hauschild | |
| Department of Math and Physics Kansas Wesleyan University 100 East Claflin Avenue Salina, KS 91711-5901 United States |
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| Jazmin Ortiz | |
| Department of Mathematics Harvey Mudd College 301 Platt Boulevard Claremont, CA 91711-5901 United States |
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| Oscar Vega | |
| Department of Mathematics California State University, Fresno Peters Business Building 5245 North Backer Avenue M/S PB108 Fresno, CA 93740-8001 United States |
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