On the Line Graph for Zero-Divisors of C(X)
Joint Authors
Source
International Journal of Combinatorics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let be X a completely regular Hausdorff space and let C(X) be the ring of all continuous real valued functions defined on X.
In this paper, the line graph for the zero-divisor graph of C(X) is studied.
It is shown that this graph is connected with diameter less than or equal to 3 and girth 3.
It is shown that this graph is always triangulated and hypertriangulated.
It is characterized when the graph is complemented.
It is proved that the radius of this graph is 2 if and only if X has isolated points; otherwise, the radius is 3.
Bounds for the dominating number and clique number are also found in terms of the density number of X.
American Psychological Association (APA)
AlAfifi, Ghada& Abu Osba, Emad. 2013. On the Line Graph for Zero-Divisors of C(X). International Journal of Combinatorics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-496223
Modern Language Association (MLA)
AlAfifi, Ghada& Abu Osba, Emad. On the Line Graph for Zero-Divisors of C(X). International Journal of Combinatorics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-496223
American Medical Association (AMA)
AlAfifi, Ghada& Abu Osba, Emad. On the Line Graph for Zero-Divisors of C(X). International Journal of Combinatorics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-496223
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496223
