ON THE TOTAL DOMATIC NUMBER OF REGULAR GRAPHS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

ARAM H.; SHEIKHOLESLAMI S.M.; VOLKMANN L.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: TRANSACTIONS ON COMBINATORICS Year:2012 | Volume:1 | Issue:1 Page(s): 45-51

Download Full-Text

Persian Verion

View:

854

Download:

218

Cites:

Information Journal Paper

Title

ON THE TOTAL DOMATIC NUMBER OF REGULAR GRAPHS

Author(s)

ARAM H. | SHEIKHOLESLAMI S.M. | VOLKMANN L. | Issue Writer Certificate

Keywords

TOTAL DOMINATING SETQ2

TOTAL DOMINATION NUMBERQ2

TOTAL DOMATIC NUMBERQ2

REGULAR GRAPHQ2

Abstract

A set S of vertices of a graph G= (V, E) without isolated vertex is a TOTAL DOMINATING SET if every vertex of V (G) is adjacent to some vertex in S. The TOTAL DOMATIC NUMBER of a graph G is the maximum number of TOTAL DOMINATING SETs into which the vertex set of G can be partitioned.We show that the TOTAL DOMATIC NUMBER of a random r-regular graph is almost surely at most r - 1, and that for 3-regular random graphs, the TOTAL DOMATIC NUMBER is almost surely equal to 2. We also give a lower bound on the TOTAL DOMATIC NUMBER of a graph in terms of order, minimum degree and maximum degree. As a corollary, we obtain the result that the TOTAL DOMATIC NUMBER of an r-regular graph is at least r/(3ln (r)).

Cites

No record.

References

No record.

Cite

APA: Copy

ARAM, H., SHEIKHOLESLAMI, S.M., & VOLKMANN, L.. (2012). ON THE TOTAL DOMATIC NUMBER OF REGULAR GRAPHS. TRANSACTIONS ON COMBINATORICS, 1(1), 45-51. SID. https://sid.ir/paper/213756/en

Vancouver: Copy

ARAM H., SHEIKHOLESLAMI S.M., VOLKMANN L.. ON THE TOTAL DOMATIC NUMBER OF REGULAR GRAPHS. TRANSACTIONS ON COMBINATORICS[Internet]. 2012;1(1):45-51. Available from: https://sid.ir/paper/213756/en

IEEE: Copy

H. ARAM, S.M. SHEIKHOLESLAMI, and L. VOLKMANN, “ON THE TOTAL DOMATIC NUMBER OF REGULAR GRAPHS,” TRANSACTIONS ON COMBINATORICS, vol. 1, no. 1, pp. 45–51, 2012, [Online]. Available: https://sid.ir/paper/213756/en

Related Journal Papers