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2018•AKCE International Journal of Graphs and CombinatoricsOpen access

A new matroid constructed by the rank function of a matroid

Moein Pourbaba, Habib Azanchiler, Ghodratolah Azadi

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Abstract

In this article, we construct a submodular function using the rank function of a matroid and study induced matroid with constructed polymatroid, then we relate some properties of connectivity of new matroid with the main matroid.

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What this paper is about

In this article, we construct a submodular function using the rank function of a matroid and study induced matroid with constructed polymatroid, then we relate some properties of connectivity of new matroid with the main matroid.

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Available abstract

In this article, we construct a submodular function using the rank function of a matroid and study induced matroid with constructed polymatroid, then we relate some properties of connectivity of new matroid with the main matroid.

Key concepts: Matroid, Matroid partitioning, Submodular set function, Weighted matroid, Combinatorics, Mathematics, Graphic matroid, Oriented matroid

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