71 research outputs found
Super Fibonacci Graceful Labeling of Some Special Class of Graphs
Abstract: A Smarandache-Fibonacci Triple is a sequence S(n), n ≥ 0 such that S(n) = S(n − 1) + S(n − 2), where S(n) is the Smarandache function for integers n ≥ 0. Certainly, it is a generalization of Fibonacci sequence. A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in 2006. Generally, let G be a (p,q)-graph and S(n)|n ≥ 0 a Smarandache-Fibonacci Triple. An bijection f: V (G) → {S(0), S(1), S(2),..., S(q)} is said to be a super Smarandache-Fibonacci graceful graph if the induced edge labeling f ∗ (uv) = |f(u) − f(v) | is a bijection onto the set {S(1), S(2),..., S(q)}. Particularly, if S(n), n ≥ 0 is just the Fibonacci sequence Fi, i ≥ 0, such a graph is called a super Fibonacci graceful graph. In this paper, we show that some special class of graphs namely F t n, C t n and S t m,n are super fibonacci graceful graphs
Super Fibonacci Graceful Labeling
Abstract: A Smarandache-Fibonacci Triple is a sequence S(n), n ≥ 0 such that S(n) = S(n−1)+S(n−2), where S(n) is the Smarandache function for integers n ≥ 0. Certainly, it is a generalization of Fibonacci sequence. A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in 2006. Generally, let G be a (p,q)-graph and {S(n)|n ≥ 0} a Smarandache-Fibonacci Triple. An bijection f: V (G) → {S(0), S(1), S(2),..., S(q)} is said to be a super Smarandache-Fibonacci graceful graph if the induced edge labeling f ∗ (uv) = |f(u) − f(v) | is a bijection onto the set {S(1), S(2),..., S(q)}. Particularly, if S(n), n ≥ 0 is just the Fibonacci sequence Fi, i ≥ 0, such a graph is called a super Fibonacci graceful graph. In this paper, we construct new types of graphs namely Fn ⊕ K + 1,m, Cn ⊕ Pm, K1,n ⊘ K1,2, Fn ⊕ Pm and Cn ⊕ K1,m and we prove that these graphs are super Fibonacci graceful graphs
Preservation and Documentation of Intangible Cultural Heritage: the Strategic Role of the Library and Information Science Professionals in Sri Lanka
A note on isolate domination
A set of vertices of a graph such that has an isolated vertex is called an \emph{isolate set} of . The minimum and maximum cardinality of a maximal isolate set are called the \emph{isolate number} and the \emph{upper isolate number} respectively. An isolate set that is also a dominating set (an irredundant set) is an . The \emph{isolate domination number} and the \emph{upper isolate domination number} are respectively the minimum and maximum cardinality of a minimal isolate dominating set while the \emph{isolate irredundance number} and the \emph{upper isolate irredundance number} are the minimum and maximum cardinality of a maximal isolate irredundant set of . The notion of isolate domination was introduced in \cite{sb} and the remaining were introduced in \cite{isrn}. This paper further extends a study of these parameters. </p
Notice of Violation of IEEE Publication Principles: Remote patient monitoring system for rural population using ultra low power embedded system
Taguchi method for optimization of fabrication parameters with mechanical properties in sisal fibre–vinyl ester composites
Power Quality in Railway Traction and Compensation by Combining Shunt Hybrid Filter and TCR
U radu se analizira kvaliteta električne energije u željezničkim sustavima. Karakteristike kvalitete snage izmjerene su u studiji slučaja na elektrovučnoj podstanici u Tamil Nadu, Indija, gdje je priključen slog kondenzatora snage 1300 KVAR. Stvarni podaci dobiveni su direktnim mjerenjem vučnog opterećenja. Viši harmonici i razni problemi vezani uz kvalitetu snage primijećeni su pri strujnom opterećenju. Spomenuti problemi trebaju dodatnu pozornost kako bi se uklonili. Poteškoće su detektirane korištenjem analizatora kvalitete snage te su uspoređene s IEEE standardima 519-1992. Provedene su simulacije za umanjenje poteškoća povezanih s kvalitetom električne energije kao što su viši harmonici, faktor snage i reaktivna snaga pri čemu je korištena kombinacija šant hibridnog filtra i tiristorski upravljivog ispravljača.This paper analyses the quality of electricity in railway traction. Power quality characteristics have been measured as a case study in a traction sub-station in Tamil Nadu, India, where 1400 KVAR capacitor bank is installed. The actual data has been obtained through direct supply of traction load. Harmonics and various power quality problems are generated through the load of current. The emerging power problems need attention to rectify the "polluting" sites. Issues are measured by providing power quality analyzer and compared with IEEE standards 519-1992. Simulation has been done to improve the power quality issues such as harmonics, power factor and reactive power by using a combination of shunt hybrid filter and Thyrsitor Control Rectifier
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