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A Method to construct the Sparse-paving ...

Mederos, B....

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A Method to construct the Sparse-paving Matroids over a Finite Set by Mederos, B. ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	07-09-2023
Summary	In this work we present an algorithm to construct sparse-paving matroids over finite set $S$. From this algorithm we derive some useful bounds on the cardinality of the set of circuits of any Sparse-Paving matroids which allow us to prove in a simple way an asymptotic relation between the class of Sparse-paving matroids and the whole class of matroids. Additionally we introduce a matrix based method which render an explicit partition of the $r$-subsets of $S$, $\binom{S}{r}=\sqcup_{i=1}^{\gamma }\mathcal{U}_{i}$ such that each $\mathcal{U}_{i}$ defines a sparse-paving matroid of rank $r$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1502.01806

Citation

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AMA 11th EditionReferences

Mederos, B.. A Method to construct the Sparse-paving Matroids over a Finite Set. Australian National University. September 07, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/24367

APA 7th EditionReferences

Mederos, B.. (2023). A Method to construct the Sparse-paving Matroids over a Finite Set. Australian National University. https://online.provdatabase.com/cite/24367

Chicago 17th EditionReferences

Mederos, B.. A Method to construct the Sparse-paving Matroids over a Finite Set. Australian National University. 2023. https://online.provdatabase.com/cite/24367

HarvardReferences

Mederos, B.. (2023). A Method to construct the Sparse-paving Matroids over a Finite Set. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24367. (Accessed 20 September 2024).

Harvard AustraliaReferences

Mederos, B., 2023, A Method to construct the Sparse-paving Matroids over a Finite Set, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/24367>

MLA 9th EditionWorks Cited

Mederos, B.. A Method to construct the Sparse-paving Matroids over a Finite Set. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24367.

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