Signed total Italian k-domatic number of a graph

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.

Volkmann Lutz

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

Journal Paper

Paper Information

Journal: COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION Year:2023 | Volume:8 | Issue:1 Page(s): 39-52

Download Full-Text

View:

Download:

Cites:

Information Journal Paper

Title

Signed total Italian k-domatic number of a graph

Author(s)

Volkmann Lutz | Issue Writer Certificate

Keywords

Signed total Italian k

dominating function

Signed total Italian k

domination number

Signed total Italian k

domatic number

Abstract

Let k ≥,1 be an integer, and let G be a finite and simple graph with vertex set V (G). A Signed total Italian k-dominating function on a graph G is a function f: V (G) →, {-1,1,2} such that ∑, u, N(v) f(u) ≥,k for every v ,V (G), where N(v) is the neighborhood of v, and each vertex u with f(u) =-1 is adjacent to a vertex v with f(v) = 2 or to two vertices w and z with f(w) = f(z) = 1. A set {f1,f2, …, ,fd} of distinct Signed total Italian k-dominating functions on G with the property that ∑, d i=1 fi(v) ≥,k for each v ,V (G), is called a Signed total Italian k-dominating family (of functions) on G. The maximum number of functions in a Signed total Italian k-dominating family on G is the Signed total Italian k-domatic number of G, denoted by dk stI (G). In this paper we initiate the study of Signed total Italian k-domatic numbers in graphs, and we present sharp bounds for dk stI (G). In addition, we determine the Signed total Italian k-domatic number of some graphs.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

Volkmann, Lutz. (2023). Signed total Italian k-domatic number of a graph. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 8(1), 39-52. SID. https://sid.ir/paper/1057945/en

Vancouver: Copy

Volkmann Lutz. Signed total Italian k-domatic number of a graph. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION[Internet]. 2023;8(1):39-52. Available from: https://sid.ir/paper/1057945/en

IEEE: Copy

Lutz Volkmann, “Signed total Italian k-domatic number of a graph,” COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, vol. 8, no. 1, pp. 39–52, 2023, [Online]. Available: https://sid.ir/paper/1057945/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops