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Jet graphs
Federico Galetto, Elisabeth Helmick and Molly Walsh
Vol. 14 (2021), No. 5, 793–812
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Abstract |
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We define an operation of jets on graphs inspired by the corresponding notion in commutative algebra and algebraic geometry. We examine a few graph-theoretic properties and invariants of this construction, including chromatic numbers, cochordality, and vertex covers. |
Keywords
jets, graphs, square-free monomial ideals
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Mathematical Subject Classification
Primary: 13F55, 05E40
Secondary: 05C25, 05C69, 05C76
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Milestones
Received: 6 January 2021
Revised: 31 May 2021
Accepted: 27 June 2021
Published: 9 February 2022
Communicated by Kenneth S. Berenhaut
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Authors |
| Federico Galetto | |
| Department of Mathematics and
Statistics Cleveland State University Cleveland, OH United States |
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| Elisabeth Helmick | |
| Department of Mathematics and
Statistics Cleveland State University Cleveland, OH United States |
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| Molly Walsh | |
| Department of Mathematics and
Statistics Cleveland State University Cleveland, OH United States |
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