Connectivity of single-element coextensions of a binary matroid

Ganesh Mundhe 1, Y. M. Borse 2
1Army Institute of Technology, Pune-411015, INDIA.
2Department of Mathematics, Savitribai Phule Pune University, Pune-411007, INDIA.

Abstract

Given an n-connected binary matroid, we obtain a necessary and sufficient condition for its single-element coextensions to be \(n\)-connected.

Keywords: coextension, element splitting, point-splitting, binary matroids, n-connected