WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 18, 2019


On Dual of the Split-off Matroids

AUTHORS: Vahid Ghorbani, Ghodratollah Azadi, Habib Azanchiler

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KEYWORDS: Binary matroid, Uniform matroid, Direct sum, Split-off operation

REFERENCES:

[

[1] V. Ghorbani A note on the dual of the splitoff, Caucasian mathematics conference (CMCII), Van, Turkey, 2017.

[2] V. Ghorbani, Gh. Azadi and H. Azanchiler, The Cobases of the split-off binary matroids, Graph theory and algebraic combinatorics conference, Tehran, Iran, 9, 2017.

[3] T. Jordan, Constrained Edge-Splitting Problems, Springer Lecture Notes in Computer Science, 1610, 1999, pp. 273–288.

[4] L. Lovasz, Combinatorial Problems and Exercises, North Holland, Amsterdam, 1979.

[5] J. Oxley, Matroid theory, volume 21 of Oxford Graduate Texts in Mathematics, Oxford University Press, Oxford, second edition, 2011.

[6] M.M. Shikare, Gh. Azadi and B.N. Waphare, Generalization of Splitting off Operation to Binary Matroids, Electronic Notes in Discrete Mathematics, 15, 2003, pp. 186–188.

[7] M.M. Shikare, K.V. Dalvi, Splitting off operation for binary matroids and its applications, Graph and Combinatorics, 27, 2011, pp. 871– 882.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #51, pp. 423-427


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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