The closure operator and flats of $${\pmb \varGamma }$$ Γ -extension matroids

Morteza Kazemzade (), Habib Azanchiler () and Vahid Ghorbani ()
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Morteza Kazemzade: Urmia University
Habib Azanchiler: Urmia University
Vahid Ghorbani: Urmia University

Indian Journal of Pure and Applied Mathematics, 2022, vol. 53, issue 3, 696-700

Abstract: Abstract Slater introduced the point-addition operation on graphs to characterize 4-connected graphs. The $$\varGamma $$ Γ -extension operation on binary matroids is a generalization of the point-addition operation. In this paper, for a given binary matroid M we characterize the closure operator and the flats of the $$\varGamma $$ Γ -extension binary matroid $$M^X$$ M X in terms of the closure operator of original binary matroid M.

Keywords: binary matroid; closure operator; flats of matroids; $$\varGamma $$ Γ -extension; 05B35 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s13226-021-00161-1

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