Edge ideals using Macaulay2

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. © 2013 Springer-Verlag Berlin Heidelberg.