Closure matroid properties
Author
Source
Mutah Journal of Natural, Applied and Health Sciences
Issue
Vol. 19, Issue 3 (31 Dec. 2004), pp.35-43, 9 p.
Publisher
Mutah University Deanship of Scientific Research
Publication Date
2004-12-31
Country of Publication
Jordan
No. of Pages
9
Main Subjects
Abstract EN
A closure matroid is defined to be a matroid in which A u B = A u B for all subsets A and B of its ground set.
In this paper, we characterize closure matroids via the rank function and circuits and we show that the class of all closure matroids is the smallest minor-closed class that contains all transversal matroids, which is an improvement of the well- known result: The class of all gammoids is the smallest minor-closed class that contains all transversal matroids, In addition, we show that the closure matroid property is preserved under both series and parallel connection operation.
American Psychological Association (APA)
al-Hawari, Talal Ali. 2004. Closure matroid properties. Mutah Journal of Natural, Applied and Health Sciences،Vol. 19, no. 3, pp.35-43.
https://search.emarefa.net/detail/BIM-295989
Modern Language Association (MLA)
al-Hawari, Talal Ali. Closure matroid properties. Mutah Journal of Natural, Applied and Health Sciences Vol. 19, no. 3 (2004), pp.35-43.
https://search.emarefa.net/detail/BIM-295989
American Medical Association (AMA)
al-Hawari, Talal Ali. Closure matroid properties. Mutah Journal of Natural, Applied and Health Sciences. 2004. Vol. 19, no. 3, pp.35-43.
https://search.emarefa.net/detail/BIM-295989
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 43
Record ID
BIM-295989