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Edge Ideals Using Macaulay2

Part of the Lecture Notes in Mathematics book series (LNM,volume 2083)

Abstract

Computer algebra systems, like Macaulay 2 [80], Singular [47], and CoCoA [39], have become essential tools for many mathematicians in commutative algebra and algebraic geometry. These systems provide a “laboratory” in which we can experiment and play with new ideas. From these experiments, a researcher can formulate new conjectures, and hopefully, new theorems. Computer algebra systems are especially good at dealing with monomial ideals. As a consequence, the study of edge and cover ideals is well suited to experiments using computer algebra systems.

Keywords

  • Ideal Edge
  • Cover Ideals
  • Identical Monomers
  • Computer Algebra System
  • EdgeIdeals

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

  1. 1.

    At the time of writing this tutorial, the current version was 1.4.

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Correspondence to Adam Van Tuyl .

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Van Tuyl, A. (2013). Edge Ideals Using Macaulay2. In: Bigatti, A., Gimenez, P., Sáenz-de-Cabezón, E. (eds) Monomial Ideals, Computations and Applications. Lecture Notes in Mathematics, vol 2083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38742-5_4

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