Γ-Extension of Binary Matroids

Author

Azanchiler, Habib

Source

ISRN Discrete Mathematics

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-11-03

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We extend the notion of a point-addition operation from graphs to binary matroids.

This operation can be expressed in terms of element-addition operation and splitting operation.

We consider a special case of this construction and study its properties.

We call the resulting matroid of this special case a Γ-extension of the given matroid.

We characterize circuits and bases of the resulting matroids and explore the effect of this operation on the connectivity of the matroids.

American Psychological Association (APA)

Azanchiler, Habib. 2011. Γ-Extension of Binary Matroids. ISRN Discrete Mathematics،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-486513

Modern Language Association (MLA)

Azanchiler, Habib. Γ-Extension of Binary Matroids. ISRN Discrete Mathematics No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-486513

American Medical Association (AMA)

Azanchiler, Habib. Γ-Extension of Binary Matroids. ISRN Discrete Mathematics. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-486513

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-486513