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- W2080404600 abstract "This paper is concerned with the topological invariant of a graph given by the maximum degree of a Markov basis element for the corresponding graph model for binary contingency tables. We describe a degree four Markov basis for the model when the underlying graph is a cycle and generalize this result to the complete bipartite graph K 2,n . We also give a combinatorial classification of degree two and three Markov basis moves as well as a Buchberger-free algorithm to compute moves of arbitrary given degree. Finally, we compute the algebraic degree of the model when the underlying graph is a forest." @default.
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- W2080404600 date "2003-12-01" @default.
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- W2080404600 title "Markov Bases of Binary Graph Models" @default.
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- W2080404600 doi "https://doi.org/10.1007/s00026-003-0196-9" @default.
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