U = toricUniversalMarkov A
I = toricUniversalMarkov(A, R)
The universal Markov basis, often denoted $U(A)$, of a configuration matrix $A$ is the union of all minimal Markov bases of $A$. This method computes the universal Markov basis of $A$ and returns the elements as the rows of a matrix. Similarly to markovBases, if a ring $R$ is supplied, then the result is an ideal generated by the universal Markov basis.
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The function computes the universal Markov basis elements using the the fiber graph of $A$; see fiberGraph. An irreducible binomial $x^u - x^v$ is an element of the universal Markov basis if and only if $u$ and $v$ belong to different connected components of the fiber graph.
The object toricUniversalMarkov is a method function.
The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/AllMarkovBases.m2:1068:0.