A characterization of the bases of line-splitting matroids

H. Azanchiler

Urmia University

Abstract: 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 $M_X^e$. Moreover, we determine rank function of $M_X^e$.

Submitted by: M. M. Arslanov
Received: 28.03.2007

Language: English

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