Full Graphs and Koszul Algebras I |
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| Authors: | Edward L Green Gregory Hartman |
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| Institution: | 1. Department of Mathematics , Virginia Tech , Blacksburg, Virginia, USA green@math.vt.edu;3. Department of Mathematics and Computer Science , Virginia Military Institute , Lexington, Virginia, USA |
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| Abstract: | The main result of this article is the establishment of a new connection between combinatorics and noncommutative algebra. This is done by linking a certain class of directed graphs, called full graphs, to quotients of path algebras that are Koszul algebras. |
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| Keywords: | Directed graphs Graphs Gröbner bases Koszul algebra Quiver |
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