$\Lambda$-Extension of binary matroids

Document Type : Research Paper


1 Department of mathematics, Urmia University, Urmia, Iran

2 Department of Mathematics, Urmia University, Urmia, Iran



In this paper, we combine two binary operations $\Gamma$-Extension and element splitting under special conditions, to extend binary matroids. For a given binary matroid $M$, we call a matroid obtained in this way a $\Lambda$-Extension of $M$. We note some attractive properties of this matroid operation, particularly constructing a chordal matroid from a chordal binary matroid.


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