Bounds on the inverse signed total domination numbers in graphs

• Autorzy: Atapour M. , Norouzian S. , Sheikholeslami S. M. , Volkmann L.

Identyfikatory

DOI

10.7494/OpMath.2016.36.2.145

• Języki publikacji: EN

Abstrakty

EN

Let G = (V, E) be a simple graph. A function ƒ : V→ {- 1,1} is called an inverse signed total dominating function if the sum of its function values over any open neighborhood is at most zero. The inverse signed total domination number of G, denoted by [formula], equals to the maximum weight of an inverse signed total dominating function of G. In this paper, we establish upper bounds on the inverse signed total domination number of graphs in terms of their order, size and maximum and minimum degrees.

Słowa kluczowe

EN

inverse signed total dominating function; inverse signed total domination number

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 2
• Strony: 145--152
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Atapour M.

• Department of Mathematics Faculty of Basic Sciences University of Bonab Bonab, Iran, Po. Box: 5551761167

autor

Norouzian S.

• Azarbaijan Shahid Madani University Department of Mathematics Tabriz, I.R. Iran

autor

Sheikholeslami S. M.

• Azarbaijan Shahid Madani University Department of Mathematics Tabriz, I.R. Iran

autor

Volkmann L.

• RWTH-Aachen University Lehrstuhl II fur Mathematik 52056 Aachen, Germany

Bibliografia

• [1] M.A. Henning, Signed total domination in graphs, Discrete Math. 278 (2004), 109-125.
• [2] Z. Huang, Z. Feng, H. Xing, Inverse signed total domination numbers of some kinds of graphs, Information Computing and Applications Communications in Computer and Information Science ICICA 2012, Part II, CCIS 308, 315-321, 2012.
• [3] D.B. West, Introduction to Graph Theory, Prentice-Hall, Inc., 2000.
• [4] B. Zelinka, Signed total domination number of a graph, Czechoslovak Math. J. 51 (2001), 225-229.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.