Govindammal Aditanar College for Women is a college situated in Tiruchendur, Thoothukudi district, Tamil Nadu, India. It is affiliated with Manonmaniam Sundaranar University. It teaches arts and science degrees for both undergraduate and postgraduate degrees, as well as certification courses and a research Ph.D. in Mathematics. The college was founded by Sivanthi Adithan in 1987 and is fully financed by the Aditanar Educational Trust, with no financial aid from the government.
The concepts of k-product cordial labeling and edge product cordial labeling were introduced in 2012 and further explored by various researchers. Building on these ideas, we define a new concept called ‘edge k-product cordial labeling’ as follows: For a graph G=(V(G),E(G)), which does not have isolated vertices, an edge labeling f:E(G)→0,1,…,k−1, where k≥2 is an integer, is said to be an edge k-product cordial labeling of G if it induces a vertex labeling f*:V(G)→0,1,…,k−1 defined by f*(v)=∏uv∈E(G)f(uv)(modk), which satisfies ef(i)−ef(j)≤1 and vf*(i)−vf*(j)≤1 for i,j∈0,1,…,k−1, where ef(i) and vf*(i) denote the number of edges and vertices, respectively, having label i for i=0,1,…,k−1. In this paper, we study the edge k-product cordial behavior of trees, a comet, and a double comet.
Data Hiding (DH) is a widely distributed method to conceal private data through the internet. Hiding data in a Moving Object (MO) in the video has sought attention due to the deficiency of human visual structure. The existing Exploiting Modification Direction (EMD) technology faces a large amount of distortion due to the even distribution of DH. This paper proposes a Generalized Exploiting Modification Direction (GEMD) by splitting a video into compressed frames and then the frames are separated into MO. Each MO is distinguished using Kalman technique by analyzing the first and next frames. The GEMD is applied separately in each MO by interpolating the image using matching algorithm. In order to reduce the mismatch problem out of boundary pixels and error rates are considered. The proposed DH algorithm is evaluated using PETS 2009 data set. Experimental results have demonstrated that the proposed GEMD algorithm hiding data in each MO improves the capacity and image quality over the existing methods.
IoT allows the devices to transfer data so as to provide domination for users to make the process easy. The fusion of IoT with VR and AR plays a predominant role in the invention over multiple areas. In this paper, a detailed survey of VR and AR technique with the recent existing technique with IoT is given. The VR existing work are sued the field of VR hardware faces the issues in the cross platform, kitchen aid module advancement using VR, VR broad casting, structure-from-motion (SFM) VR for motion analysis. While AR existing work concentrates in the area of game play, e-commers, robotics and automation systems (RAS) training tool, robot operation in the health care, tourism and education. Its application in IoT with system architecture in the real time scenario is discussed.
Abstract Marine algae possess abundant reserves of bioactive compounds that can host secondary metabolites exhibiting both structural and biological activity. In our present study, the aqueous, ethanol, methanol, and chloroform extract of seaweed such as Codium fragile and Turbinaria conoideswas employed to determine the phytochemical, GC-MS, antioxidant, and larvicidal activity. The phytochemical compounds showed C. fragile and T. conoides ethanolic extract revealed the existence of fourteen numbers of compounds compared to the others. The GC-MS analysis was performed on the ethanolic extract of C fragile and T. conoidesshowed the presence of each of twenty different compounds. C. fragile of Hexadecanoic Acid (27.79%), 4-Methanocycloocta[d]Pyridaz (7.39%), 1,1-Dimethoxy-2-Hepten-7-Al (7.04 %) and Octadecanoic Acid, (5.9%). The T. conaids of Dibutyl phthalate (69.56%), 1,2-Benzenedicarboxylic acid (14.01%) and Phthalic acid (2.58 %) were present as the major constituent with the highest area percentage. The antioxidant activity of different solvents the T. conoides ethanolic extract was found to have the highest DPPH (81.48 ± 1.0%), ABTS (88.29±1.0%) and Hydroxyl radical scavenging (86.51±1.0%) activity followed by other solvent extracts. The chloroform extract of C fragile and T. conoides showed effective Cx. quinquefasciatus larvicidal activity. Therefore, the bioactive substances derived from the ethanolic extracts could be used for the antioxidant and larvicidal activity of chloroform extract which will overcome the synthetic insecticides negative impact on the environment. The seaweed possesses the potential to serve as a promising alternative source for controlling mosquitoes due to its larvicidal properties.
In 2012, Ponraj et al. defined k-product cordial labeling as follows: Let [Formula: see text] be a map from [Formula: see text] to [Formula: see text] where [Formula: see text] is an integer, [Formula: see text]. For each edge [Formula: see text] assign the label [Formula: see text] [Formula: see text]. [Formula: see text] is called a k-product cordial labeling if [Formula: see text], and [Formula: see text], [Formula: see text], where [Formula: see text] and [Formula: see text] denote the number of vertices and edges, respectively, labeled with [Formula: see text] [Formula: see text]. A graph that admits k-product cordial labeling is called k-product cordial graph. Later, we proved that several families of graphs are k-product cordial graphs. In this paper, we show that the product of graphs admit k-product cordial labeling.
