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2 results on '"graph, binary matroids, es-splitting operation"'

1. On n-connected minors of the es-splitting binary matroids

Author

Prashant Pralhad Malavadkar, Santosh Baburao Dhotre, and Maruti Shikare

Subjects
graph, binary matroids, es-splitting operation, Mathematics, QA1-939
Abstract

The es-splitting operation on an n-connected binary matroid may not yield an n-connected matroid for (n ≥ 3). In this paper, we show that given an n-connected binary matroid M of rank r, the resulting es-splitting binary matroid has an n-connected minor of rank-(r + 1) having |E(M)| + 1 elements.

Published
2021
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2. On n-connected minors of the es-splitting binary matroids

Author

P. P. Malavadkar, S. B. Dhotre, and M. M. Shikare

Subjects
graph, binary matroids, es-splitting operation, Applied Mathematics, Minor (linear algebra), MathematicsofComputing_GENERAL, Binary number, Matroid, Combinatorics, n-connected, QA1-939, Binary matroid, Computer Science::Programming Languages, Discrete Mathematics and Combinatorics, Rank (graph theory), Mathematics
Abstract

The es-splitting operation on an n-connected binary matroid may not yield an n-connected matroid for (n ≥ 3). In this paper, we show that given an n-connected binary matroid M of rank r, the resulting es-splitting binary matroid has an n-connected minor of rank-(r + 1) having |E(M)| + 1 elements.

Published
2021

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