Determination of the bases of a splitting matroid. (English) Zbl 1014.05018

Summary: In [T. T. Raghunathan, M. M. Shikare and B. N. Waphare, Discrete Math. 184, 267-271 (1998; Zbl 0955.05022)] the authors extended the splitting operation of graphs to binary matroids. In this paper, we characterize the set of bases of a splitting matroid and give some of its applications.


05B35 Combinatorial aspects of matroids and geometric lattices
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
05C83 Graph minors


Zbl 0955.05022
Full Text: DOI


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