M Modulo N graceful labeling of path union and join sum of complete bipartite graphs with its algorithms

A graceful labeling of a graph G(p, q) is an injective assignment of labels from the set {0, 1, ..., q} to the vertices of G such that when each edge of G has been assigned a label defined by the absolute difference of its end-vertices, the resulting edge labels are distinct. In this paper we used the new labeling technique known as M modulo N graceful labeling and prove that path union of complete bipartite graphs and join sum of complete bipartite graphs are M modulo N graceful labeling. We also give a C + + program for finding M modulo N graceful labeling on above said graphs

1-Bromo­acetyl-2,6-bis­(4-methoxy­phen­yl)-3,5-dimethyl­piperidin-4-one

In the title compound, C23H26BrNO4, the piperidinone ring adopts a boat conformation. The dihedral angle between the two benzene rings is 70.9 (1)°. The two meth­oxy groups are close to coplanar with the attached benzene rings [C—C—O—C torsion angles of 6.3 (5) and 16.4 (4)°]. A weak C—H⋯Br intra­molecular inter­action is observed. In the crystal structure, mol­ecules are linked into a chain along [101] by inter­molecular C—H⋯O hydrogen bonds. A short inter­molecular Br⋯O contact [3.063 (2) Å] is observed

1-Chloro­acetyl-2,6-bis­(3-fluoro­phen­yl)piperidin-4-one

In the title compound C19H16ClF2NO2, the piperidone ring adopts a twist-boat conformation with the two out-of-plane atoms deviating by 0.544 (1) and 0.511 (1) Å from the plane through the remaining atoms in the ring. Sterically favoured non-H-atom C⋯O inter­molecular contacts are observed in the structure, within a 3.00 Å range. The crystal packing is stabilized by C—H⋯O and C—H⋯F hydrogen bonds and an inter­molecular π–π inter­action [centroid-centroid separation of 3.783 (1) Å]. Alternating C—H⋯O and C—H⋯F inter­molecular inter­actions generate chains running along the a axis, while a centrosymmetric R 2 2(16) ring involving C—H⋯O inter­actions is formed centred at (1/2, 1/2, 0)

Progressive hemorrhage and myotoxicity induced by echis carinatus venom in murine model: neutralization by inhibitor cocktail of n,n,n `,n `-tetrakis (2-pyridylmethyl) ethane-1,2-diamine and silymarin

Viperbite is often associated with severe local toxicity, including progressive hemorrhage and myotoxicity, persistent even after the administration of anti-snake venom (ASV). In the recent past, investigations have revealed the orchestrated actions of Zn2+ metalloproteases (Zn(2+)MPs), phospholipase A(2)s (PLA(2)s) and hyaluronidases (HYs) in the onset and progression of local toxicity from the bitten site. As a consequence, venom researchers and medical practitioners are in deliberate quest of potent molecules alongside ASV to tackle the brutal local manifestations induced by aforesaid venom toxins. Based on these facts, we have demonstrated the protective efficacy of inhibitor cocktail containing equal ratios of N,N,N', N'-tetrakis (2-pyridylmethyl) ethane-1,2-diamine (TPEN) and silymarin (SLN) against progressive local toxicity induced by Echis carinatus venom (ECV). In our previous study we have shown the inhibitory potentials of TPEN towards Zn(2+)MPs of ECV (IC50: 6.7 mu M). In this study we have evaluated in vitro inhibitory potentials of SLN towards PLA(2)s (IC50: 12.5 mu M) and HYs (IC50: 8 mu M) of ECV in addition to docking studies. Further, we have demonstrated the protection of ECV induced local toxicity with 10 mM inhibitor cocktail following 15, 30 min (for hemorrhage and myotoxicity); 60 min (for hemorrhage alone) of ECV injection in murine model. The histological examination of skin and thigh muscle sections taken out from the site of ECV injection substantiated the overall protection offered by inhibitor cocktail. In conclusion, the protective efficacy of inhibitor cocktail is of high interest and can be administered locally alongside ASV to treat severe local toxicity

M modulo N Graceful Labeling on Arbitrary Super Subdivision of Ladder Graph: M modulo N Graceful Labeling ASSLG

In this paper, we show that arbitrary super subdivisions of ladder graphs and super subdivisions of ladder graphs are M modulo N graceful Labeling. Furthermore, on the given graph, a C++ programme is used to trace the M modulo N graceful labeling

Analytical and FEM Analyses of High-Speed Impact Behaviour of Al 2024 Alloy

The present work investigates the impact behaviour of Al 2024-T3 alloy using FEM analysis performed through LS DYNA software. Johnson–Cookvisco-plastic model is used to study the ballistic impact resistance of target Al alloy impacted by a rigid steel cylindrical projectile. The tensile properties of Al 2024-T3 alloy reported in the literature are used to estimate the J.C. model parameters. Impact velocities within a range of 50 m/s–900 m/s of the projectile were triggered onto Al alloy target thicknesses in the range of 3.18 mm–6.35 mm. To understand the accuracy of the FEM model, an analytical model proposed by Chen et al. for blunt-nosed projectiles on the ductile targets was used to compare with the obtained residual velocities from FEM simulations. It was observed that the ballistic limit velocities have led to the highest energy absorption behaviour of the Al 2024-T3 alloy for an impact velocity of 183 m/s and a 6.35 mm target thickness. The ballistic limit velocities have increased from 97 m/s to 183 m/s for the considered thickness range of 3.18 mm–6.35 mm. The impact failure was observed to have a petalling formation with two petals for thinner targets, while a full-fledged plugging with no petal formation for the 4.00 mm and 6.35 mm target thicknesses was observed

Mechanical, thermal and shape memory characterization of a novel epoxy shape memory polymer

In past 3 decades a large number of shape memory polymers are available for various applications. This paper is aimed to produce a novel epoxy polymer by combining an epoxy base polymer Diglycidyl Ether of Bisphenol-A (DGEBA-Araldite LY556) and Polypropylene Glycol Diglycidyl Ether (PPGDE). The mechanical, thermal and shape memory characterization of material is done. It was found that the tensile strength of the material is reduced linearly with increasing the percentage of PPGDE. The elongation at break of the material is increased from 10% to 60% with 25% addition of PPGDE. The glass transition temperature of the material decreases linearly with increasing PPGDE percentage. D-70-P-30 (DGEBA-PPGDE) combination of the material is chosen for shape memory characterisation as its glass transition is above and within the vicinity of room temperature which is the pre-requisite for cold programming. The material shows good shape memory properties such as shape fixity and shape recovery

Variation in imperfections level due to winding of ring yarn

290-294The variation in imperfections level due to winding of carded and combed ring yarns and the effect of foreign matters, such as black specks of broken seeds, lead bits and trashes present in the ring cop yarn, on imperfections during winding process for carded cotton ring yarn has been studied. The results show that the thin places increase, and thick places and neps decrease due to the fall of foreign matters during winding in the carded yarn. In the combed yarn, the thin places, thick places and neps increase during windin

Mechanical response of a novel hybrid tube composed of an auxetic outer layer

In this study, the deformation and energy absorption characteristics of a novel hybrid tube is investigated both experimentally and numerically. The architecture of the proposed hybrid tube composed of an inner conventional tube and a co-axially arranged outer auxetic tube. Quasi-static compressive tests were conducted on the auxetic tubes, the conventional tubes and the hybrid tubes. A three-dimensional digital image correlation technique was used to monitor the evolution of radial contraction of the tubes. Measured performance of the tubes were compared in terms of force, energy absorption, and specific energy absorption. Finite element (FE) models were also developed for the three types of tubes, analyzed using ANSYS/LS-DYNA, and validated by experimental measurements. Both experimental and numerical results showed that the presence of the auxetic tube in the hybrid tube alters the deformation mode of the conventional tube by exerting a radial force. Parametric studies were performed to investigate the effects of the outer auxetic tube, wall thickness of the inner conventional tube, the failure strain, and yield strength of the outer tube’s material on mechanical performance of the hybrid tube. Increasing the yield strength of the outer auxetic tube improved both the energy absorption and specific energy absorption characteristics of the hybrid tube significantly