Super Fibonacci Graceful Labeling of Some Special Class of Graphs

A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in 2006

Influence of Nitrogen and Phosphorus Fertilization on Fruiting and Yield Characteristics in Ratoon Crop of Banana (Musa spp. AAA) Cv. Grande Naine

In ratoon crop of banana cv. Grande Naine, date of shooting could be advanced by 35 days with application of 200g N in 5 splits + 60g P2O5 (86 days), compared to 300g N in 5 splits + 60g P2O5 (121 days). Subsequently, date of harvest also got advanced by 53 days, and fruits were harvested on 9th December in the same treatment. Higher dose of N fertilization delayed shooting and harvesting period, taking 121 days for shooting and 145 days from shooting to harvest in the treatment 300g N (5 split doses) + 90g P2O5. Various N and P treatments affected bunch weight and number of hands per bunch significantly. Although N and P combination-treatments had no significant effect on bunch weight or number of hands per bunch, application of 200g N in 5 splits and 60g P2O5 per plant gave maximum bunch weight (18.11kg) and number of hands per bunch (10.61). Minimum bunch weight (15.37kg) and the least number of hands per bunch (7.08) were obtained with 150g N in 5 splits + 90g P2O5. Hand-weight (2.20kg), number of fingers per hand (19.75), and finger length (20.30cm) was highest with application of 200g N in 5 splits + 60g P2O5 per plant. Least hand-weight (1.64kg), number of fingers per hand (15.77), and finger-length (17.92cm) was recorded with 150g N in 5 splits + 90g P2O5. Bunch weight, number of hands per bunch, hand-weight and number of fingers per hand too was affected significantly with sole application of nitrogen or phosphorus

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

Investigation of Mechanical and Corrosion Properties of Al 7075/Garnet Metal Matrix Composites by Two-stage Stir Casting Process

The impact of Garnet addition into the AL7075 aluminium matrix on the physical, mechanical and corrosion properties are studied in this research paper. Al 7075/garnet composites are fabricated by using two-stage stir casting method in different (0, 5, 10, 15) volume percentages. Photomicrograph of prepared samples revealed the uniform distribution of garnet reinforcement into the base matrix. The corrosion rate is calculated by potentiodynamic polarization method. The actual density is increased by around 1.2% for al 7075 / garnet (15%) composite as compared to base alloy. Micro hardness of al 7075 / garnet (15%) composite is raised by around 47 (34%) compare to as cast base matrix. Al 7075 / garnet (15%) composite tensile strength stood at 252 Mpa, which is 40% greater than the base alloy. Al 7075 / 15% garnet composites reduce around 97% of corrosion rate than the base matrix. Alloy elements influenced the corrosion than Garnet reinforcement

<SUP>40</SUP>Ar-<SUP>39</SUP>Ar age of a lava flow from the Bhimashankar Formation, Giravali Ghat, Deccan Traps

We report here a <SUP>40</SUP>Ar-<SUP>39</SUP>Ar age of 66.0±0.9 Ma (2σ) for a reversely magnetised tholeiitic lava flow from the Bhimashankar Formation (Fm.), Giravali Ghat, western Deccan province, India. This age is consistent with the view that the 1.8-2 km thick bottom part of the exposed basalt flow sequence in the Western Ghats was extruded very close to 67.4 Ma

Two patients with Canavan disease and structural modeling of a novel mutation.

Canavan disease (CD) is a rare fatal childhood neurological autosomal recessive genetic disease caused by mutations in the ASPA gene, which lead to catalytic deficiency of the ASPA enzyme, which catalyzes the hydrolysis of N-acetyl-L-aspartate (NAA) into aspartate and acetate. CD occurs frequently among Ashkenazi Jewish population, however it has been reported in many other ethnic groups with significantly lower frequency. Here, we report on two Egyptian patients diagnosed with CD, the first patient harbors five missense mutations (c.427 A > G; p. I143V, c.502C > T; p. R168C, c.530 T > C; p. I177T, c.557 T > C; p. V186D c.548C > T; p. P183L) and a silent mutation (c.693 C > T; p. Y231Y). The second patient was found to be homozygous for two missense mutations (c.427 A > G; p. I143V and c.557 T > A; p. V186D). Furthermore, molecular modeling of the novel mutation p. P183L provides an instructive explanation of the mutational impact on the protein structure that can affect the function of the ASPA. Here, the clinical, radiological, and biochemical profile of the two patients are reviewed in details