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The Closure Operator, Flats and Hyperplanes of es-Splitting Matroid
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The es-splitting operation on binary matroids is a natural generalization of Slater's n-line splitting operation on graphs. In this paper, we characterize the closure operator of the es-splitting binary matroid MeX in terms of the closure operator of the original binary matroid M. We also describe the ats and the hyperplanes of the es-splitting bi- nary matroid MeX in terms of the ats and the hyperplanes, respectively of the original binary matroid M.
Keywords
Binary Matroid, es-splitting operation, closure operator, ats, hyperplanes
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