$\Lambda$-Extension of binary matroids

نویسندگان
Azanchiler, Habib ID 1
Ghorbani, Vahid ID 2
Kazemzadeh, Morteza ID 3

1 Department of Mathematics, Urmia University, Urmia, Iran

2 Department of mathematics, Urmia University, Urmia, Iran

3 Department of mathematics, Urmia University, Urmia, Iran

doi
10.22034/as.2022.2608
چکیده

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.

کلیدواژه‌ها
$Gamma$-extension, element splitting, Binary matroid, connectivity, chordal matroid