Determination of the bases of a splitting matroid

DOI10.1016/S0195-6698(02)00135-XzbMath1014.05018MaRDI QIDQ1869029

M. M. Shikare, Ghodratollah Azadi

Publication date: 9 April 2003

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

spanning treesplitting operationbasesbinary matroidconnected graph

Mathematics Subject Classification ID

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

Related Items (13)

On graphic elementary lifts of graphic matroids ⋮ Even poset and a parity result for binary linear code ⋮ A note on the dual of the splitting matroid ⋮ Splitting lemma for 2-connected graphs ⋮ On dual of the generalized splitting matroids ⋮ Splitting off operation for binary matroids and its applications ⋮ A new matroid constructed by the rank function of a matroid ⋮ Extension of line-splitting operation from graphs to binary matroids ⋮ The Tutte polynomial of matroids constructed by a family of splitting operations ⋮ Forbidden-minors for graphic and cographic es-splitting matroids ⋮ Forbidden-minors for es-splitting binary gammoids ⋮ Graphic splitting of cographic matroids ⋮ A characterization of n-connected splitting matroids

Cites Work

• Eulerian graphs and related topics. Part 1, Volume 1
• The Euler circuit theorem for binary matroids
• Parallel concepts in graph theory
• Splitting in a binary matroid
• A characterization of binary Eulerian matroids
• Euler and bipartite matroids
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