Γ-Extension of Binary Matroids
Author
Source
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
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