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Lobachevskii Journal of Mathematics

, Volume 39, Issue 9, pp 1315–1319 | Cite as

On k-Connected Γ-Extensions of Binary Matroids

  • Y. M. BorseEmail author
  • Ganesh Mundhe
Part 2. Special issue “Actual Problems of Algebra and Analysis” Editors: A. M. Elizarov and E. K. Lipachev
  • 6 Downloads

Abstract

Slater introduced the point-addition operation on graphs to classify 4-connected graphs. The Γ-extension operation on binary matroids is a generalization of the point-addition operation. In this paper, we obtain necessary and sufficient conditions to preserve k-connectedness of a binary matroid under the Γ-extension operation. We also obtain a necessary and sufficient condition to get a connected matroid from a disconnected binary matroid using the Γ-extension operation.

Keywords and phrases

binary matroid splitting k-connected Γ-extension 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Department of MathematicsSavitribai Phule Pune UniversityPuneIndia
  2. 2.Army Institute of TechnologyPuneIndia

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