A Characterization of the Bases of Line-Splitting Matroids

(Lobachevskii Journal of Mathematics, Vol.26, pp.5-15 )

In [1] the author extended n-line splitting from graphs to binary matroids and characterized the circuits of the result matroid, i.e. line-splitting matroid (es-splitting). In this paper, we characterize dependent, independent and base sets in line-splitting matroid M^e_X. Moreover, we determine rank function of M^e_X.

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