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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Santosh Baburao Dhotre
Department of Mathematics, Savitribai Phule Pune University, Pune-411007, India
Electrical & Electronics Engineering

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On n-connected minors of the es-splitting binary matroids Prashant Pralhad Malavadkar; Santosh Baburao Dhotre; Maruti Shikare
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 9, No 2 (2021): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2021.9.2.3

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.
Co-Authors Maruti Shikare Prashant Pralhad Malavadkar