Extending the notion of 3-fold-3-point-splitting from graphs to binary matroids
Künye
Ghafari Baktash, G., Azadi, G. & Azanchiler, H. (2021). Extending the notion of 3-fold-3-point-splitting from graphs to binary matroids. TWMS Journal of Applied and Engineering Mathematics, 11(3), 730-738.Özet
Slater defined r-fold-n-point-splitting operation on graphs and proved that, if G is an n-connected graph and H is a graph obtained from G by an r-fold-n-pointsplitting, then H is n-connected. In this article we extend this notions from graphs to binary matroids and give some similar results to matroids. Moreover, we examine the Eulerianity of the resulting matroid obtained by this operation when the original matriod is Eulerian.
Kaynak
TWMS Journal of Applied and Engineering MathematicsCilt
11Sayı
3Bağlantı
https://hdl.handle.net/11729/3192http://jaem.isikun.edu.tr/web/index.php/archive/112-vol11-no3/733
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