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Information Journal Paper

Title

TOTAL RESTRAINED DOMINATION IN GRAPHS OF DIAMETER 2 OR 3

Pages

  1-6

Abstract

 For a given connected graph G = (V, E), a set Dtr ÍV(G) is a total restrained dominating set if it is a dominating set and both (Dtr) and (V(G)- Dtr) do not contain isolated vertices. The cardinality of the minimum total restrained dominating set in G is the total restrained DOMINATION NUMBER and is denoted by γtr(G). In this paper, we continue the study of total restrained DOMINATION NUMBER of graphs. We first give some results on total restrained DOMINATION NUMBER of graphs. And then, we characterize all graphs G of order n for which (1) γtr(G)=n, (2) γ (G)=1 and γtr(G)=3, and (3) γtr(G)=2. Furthermore, we give some bounds on total restrained DOMINATION NUMBER of graphs with diameter 3. Finally, we present some bounds for total restrained DOMINATION NUMBER of some planar graphs with diameter 2 and g-set of cardinality 2.

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    APA: Copy

    TAHMASBZADEHBAEE, ZAHRA, NANDAPPA, D. SONER, HOSSEIN, ABDOLLAHZADEH AHANGAR, MOJDEH, DOOST ALI, & ZHAO, YANCAI. (2013). TOTAL RESTRAINED DOMINATION IN GRAPHS OF DIAMETER 2 OR 3. MATHEMATICAL SCIENCES, 7(-), 1-6. SID. https://sid.ir/paper/322665/en

    Vancouver: Copy

    TAHMASBZADEHBAEE ZAHRA, NANDAPPA D. SONER, HOSSEIN ABDOLLAHZADEH AHANGAR, MOJDEH DOOST ALI, ZHAO YANCAI. TOTAL RESTRAINED DOMINATION IN GRAPHS OF DIAMETER 2 OR 3. MATHEMATICAL SCIENCES[Internet]. 2013;7(-):1-6. Available from: https://sid.ir/paper/322665/en

    IEEE: Copy

    ZAHRA TAHMASBZADEHBAEE, D. SONER NANDAPPA, ABDOLLAHZADEH AHANGAR HOSSEIN, DOOST ALI MOJDEH, and YANCAI ZHAO, “TOTAL RESTRAINED DOMINATION IN GRAPHS OF DIAMETER 2 OR 3,” MATHEMATICAL SCIENCES, vol. 7, no. -, pp. 1–6, 2013, [Online]. Available: https://sid.ir/paper/322665/en

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