\Lambda-Extension of binary matroids

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.

کلیدواژه ها:

Gamma-extension ، element splitting ، Binary matroid ، connectivity ، chordal matroid