Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 9, No 2 (2021): Electronic Journal of Graph Theory and Applications

On n-connected minors of the es-splitting binary matroids

Prashant Pralhad Malavadkar (School of Mathematics and Statistics, Dr. Vishwanath karad MIT-World Peace Unversity, Pune-411038, India)
Santosh Baburao Dhotre (Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India)
Maruti Shikare (Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India)

Article Info

Publish Date
16 Oct 2021

Abstract

The es-splitting operation on an n-connected binary matroid may not yield an n-connected matroid for (n ≥ 3). In this paper, we show that given an n-connected binary matroid M of rank r, the resulting es-splitting binary matroid has an n-connected minor of rank-(r + 1) having |E(M)| + 1 elements.

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Journal Info
Electronic Journal of Graph Theory and Applications (EJGTA)
Website

Abbrev

ejgta

Publisher

Indonesian Combinatorial Society

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...