Fixing number of co-noraml product of graphs

An automorphism of a graph $G$ is a bijective mapping from the vertex set of $G$ to itself which preserves the adjacency and the non-adjacency relations of the vertices of $G$. A fixing set $F$ of a graph $G$ is a set of those vertices of $G$ which when assigned distinct labels removes all the automorphisms of $G$, except the trivial one. The fixing number of a graph $G$, denoted by $fix(G)$, is the smallest cardinality of a fixing set of $G$. The co-normal product $G_1\ast G_2$ of two graphs $G_1$ and $G_2$, is a graph having the vertex set $V(G_1)\times V(G_2)$ and two distinct vertices $(g_1, g_2), (\acute{g_1}, \acute{g_2})$ are adjacent if $g_1$ is adjacent to $\acute{g_1}$ in $G_1$ or $g_2$ is adjacent to $\acute{g_2}$ in $G_2$. We define a general co-normal product of $k\geq 2$ graphs which is a natural generalization of the co-normal product of two graphs. In this paper, we discuss automorphisms of the co-normal product of graphs using the automorphisms of its factors and prove results on the cardinality of the automorphism group of the co-normal product of graphs. We prove that $max\{fix(G_1), fix(G_2)\}\leq fix(G_1\ast G_2)$, for any two graphs $G_1$ and $G_2$. We also compute the fixing number of the co-normal product of some families of graphs.Comment: 13 page

Study of polytropes with Generalized polytropic Equation of State

The aim of this paper is to discuss the theory of Newtonian and relativistic polytropes with generalized polytropic equation of state. For this purpose, we formulated the general framework to discuss the physical properties of polytrops with anisotropic inner fluid distribution under conformally flat condition in the presence of charge. We investigate the stability of these polytrops in the vicinity of generalized polytropic equation through Tolman-mass. It is concluded that one of the derived models is physically acceptable.Comment: 21 pages, 3 figure

PLANNED BEHAVIOR ENTREPRENEURSHIP AND INTENTION TO CREATE A NEW VENTURE AMONG YOUNG GRADUATES

This paper attempts to investigate whether young graduates possess the leadership style that is pre-requisite to become entrepreneur. The paper further examines the role of higher education towards the desire of new venture creation among young graduates in developing economies specially. This study analyzed the response of 225 final-semester students at different universities in Islamabad, Rawalpindi and Lahore. A questionnaire based survey instrument was used. Result of the present study shows that education and new venture creation are positively and significantly correlated. The results further indicate that all variables used in this study are significantly correlated with intention to create a new venture. The limitation of this study is that it includes business and economics discipline students only. Further studies may investigate and examine the possibilities of similar outcomes among students of other disciplines including science, engineering, medicine, agriculture and law etc. The present study will, however, provide insight to future policy makers and planners to consider strategies for optimally utilizing the expertise and potentials of the young graduates. The academicians, educators, and university authorities have rethink what to teach? How to teach? In order to effectively prepare-young generation for the forthcoming challenges.entrepreneurship, leadership style, new venture creation, planned behavior, young graduates.

Social media usage in academic research

Recently researchers have used “conversation prism” and “social media prisma”, to consolidate social medias with respect to their use. Although both identified 25 types, having average five examples each, they did not identify contribution of each type in academic research. Moreover some of mentioned social services had been suspended or changed. In this paper we attempt to access each social media mentioned in conversation prism in order to first, identify services that are operational to date, services which have suspended and those which have changed during course of time. Second, we compare number of publications associated with each social media, in order to identify which social media has contributed most to academic research. Third, we attempt to find correlation between number of publications and development tools provided by respective social applications. Fourth, social medias are ranked with respect to number of times other social medias share content with respective social application. It was found that out of 168 social applications, 10% changed their service objective while 13% were suspended. Among all social application, AMAZON had highest i.e. 147,000 number of citations on Google scholar whereas 90.7% of total citations were contributed by top 30 social medias. For developers, 22 out of top 30 social medias provided developer options in form of either application programming interface (API) or software development kits (SDK) and Facebook was found to be most cross referred social media based on content sharing. Finally conclusion and future work of study is presented

A Rare Case of Foreign Body Ingestion, Mimicking as Mesenteric Cyst. "Case Report"

Background: Foreign body ingestion by children is a commonly encountered problem and accounts for a significant emergency visits among pediatric population. Although these ingested foreign bodies pass spontaneously and uneventfully, a subset of such bodies may become trapped in the digestive tract, eventually leading to significant injury. Most of these bodies are radio-opaque and detectable radiologically, but some radio-lucent may become a diagnostic dilemma and subtle management issue. Case Report: We report a case of a one-year girl who presented after accidental ingestion of foreign body with signs and symptoms of acute intestinal obstruction. Initially we were unable to diagnose the cause, but later the radiological investigation suspected a mesenteric cyst. After failure to respond to conservative measures she underwent exploratory laparotomy, and a jelly ball was removed from the gut. The patient had uneventful post-operative recovery and was kept on follow-up for three months without any complication. Conclusion: These patients do not respond to conservative measures and need surgery on an emergency basis. It is likely that if left untreated may have caused Intestinal perforation and irreversible shock. Radiolucent foreign bodies are difficult to diagnose and need high level of suspicion. Need of the hour is to educate the parents to be extra vigilant as “prevention is better than cure”

Development of a Novel Bioactive Functionally Guided Tissue Graded Membrane for Periodontal Lesions

Periodontal disorders are chronic inflammatory condition of the supporting structures of the tooth. Guided tissue regeneration (GTR) membranes have been used in the management of destructive forms of periodontal disease as a means of aiding regeneration of lost supporting tissues, such as alveolar bone, cementum, gingiva and periodontal ligament. In this study, individual layers of a functionally graded bioactive composite membrane were fabricated using the techniques of solvent casting, freeze gelation and electrospinning by incorporating Hydroxyapatite (HA) alongside Chitosan and using acetic acid as the primary solvent. The techniques were simple, time /energy efficient and reproducible resulting in novel non porous and porous scaffolds with potential for use in periodontal tissue regeneration. Scaffolds were characterised in terms of ultra structure morphology by scanning electron microscopy, physiochemical properties, water uptake, and degradation by weight loss, mechanical properties and biocompatibility. Microscopy revealed porous features and presence of hydroxyapatite was confirmed with Fourier Transform Infrared (FTIR) spectroscopy. Morphology of the pores varied with different solvents, which were affected by addition of HA. Biocompatibility studies were carried out using a human osteosarcoma cell line and human embryonic stem cell-derived mesenchymal progenitor cells. All tested scaffolds showed increasing cell viability over the tested culture period. In conclusion, solvent casting, freeze gelation and electrospinning were successfully used to fabricate scaffolds with different morphology and porosity. Future work will focus on incorporation of drug into the core layer and combining the surface and core layers to form a spatially designed functionally graded biodegradable membrane with the potential of being used for periodontal tissue regeneration

Link between local scale BC emissions in the Indo-Gangetic Plains and large scale atmospheric solar absorption

Project Surya has documented indoor and outdoor concentrations of black carbon (BC) from traditional biomass burning cook stoves in a rural village located in the Indo-Gangetic Plains (IGP) region of N. India from November 2009–September 2010. In this paper, we systematically document the link between local scale aerosol properties and column averaged regional aerosol optical properties and atmospheric radiative forcing. We document observations from the first phase of Project Surya and estimate the source dependent (biomass and fossil fuels) aerosol optical properties from local to regional scale. Data were collected using surface based observations of BC, organic carbon (OC), aerosol light absorption, scattering coefficient at the Surya village (SVI_1) located in IGP region and integrated with satellite and AERONET observations at the regional scale (IGP). The daily mean BC concentrations at SVI_1 showed a large increase of BC during the dry season (December to February) with values reaching 35 μg m<sup>−3</sup>. Space based LIDAR data revealed how the biomass smoke was trapped within the first kilometer during the dry season and extended to above 5 km during the pre-monsoon season. As a result, during the dry season, the variance in the daily mean single scattering albedo (SSA), the ratio of scattering to extinction coefficient, and column aerosol optical properties at the local IGP site correlated (with slopes in the range of 0.85 to 1.06 and <i>R</i><sup>2</sup>>0.4) well with the "IGP_AERONET" (mean of six AERONET sites). The statistically significant correlation suggested that in-situ observations can be used to derive spatial mean forcing, at least for the dry season. The atmospheric forcing due to BC and OC exceeded 20 Wm<sup>−2</sup> during all months from November to May, supporting the deduction that elimination of cook stove smoke emissions through clean cooking technologies will likely have a major positive impact not only on human health but also on regional climate

Effect of sediment load boundary conditions in predicting sediment Delta of Tarbela Reservoir in Pakistan

Setting precise sediment load boundary conditions plays a central role in robust modeling of sedimentation in reservoirs. In the presented study, we modeled sediment transport in Tarbela Reservoir using sediment rating curves (SRC) and wavelet artificial neural networks (WA-ANNs) for setting sediment load boundary conditions in the HEC-RAS 1D numerical model. The reconstruction performance of SRC for finding the missing sediment sampling data was at R-2 = 0.655 and NSE = 0.635. The same performance using WA-ANNs was at R-2 = 0.771 and NSE = 0.771. As the WA-ANNs have better ability to model non-linear sediment transport behavior in the Upper Indus River, the reconstructed missing suspended sediment load data were more accurate. Therefore, using more accurately-reconstructed sediment load boundary conditions in HEC-RAS, the model was better morphodynamically calibrated with R-2 = 0.980 and NSE = 0.979. Using SRC-based sediment load boundary conditions, the HEC-RAS model was calibrated with R-2 = 0.959 and NSE = 0.943. Both models validated the delta movement in the Tarbela Reservoir with R-2 = 0.968, NSE = 0.959 and R-2 = 0.950, NSE = 0.893 using WA-ANN and SRC estimates, respectively. Unlike SRC, WA-ANN-based boundary conditions provided stable simulations in HEC-RAS. In addition, WA-ANN-predicted sediment load also suggested a decrease in supply of sediment significantly to the Tarbela Reservoir in the future due to intra-annual shifting of flows from summer to pre- and post-winter. Therefore, our future predictions also suggested the stability of the sediment delta. As the WA-ANN-based sediment load boundary conditions precisely represented the physics of sediment transport, the modeling concept could very likely be used to study bed level changes in reservoirs/rivers elsewhere in the world

Comparative Analysis of V-Akt Murine Thymoma Viral Oncogene Homolog 3 (AKT3) Gene between Cow and Buffalo Reveals Substantial Differences for Mastitis

AKT3 gene is a constituent of the serine/threonine protein kinase family and plays a crucial role in synthesis of milk fats and cholesterol by regulating activity of the sterol regulatory element binding protein (SREBP). AKT3 is highly conserved in mammals and its expression levels during the lactation periods of cattle are markedly increased. AKT3 is highly expressed in the intestine followed by mammary gland and it is also expressed in immune cells. It is involved in the TLR pathways as effectively as proinflammatory cytokines. The aims of this study were to investigate the sequences differences between buffalo and cow. Our results showed that there were substantial differences between buffalo and cow in some exons and noteworthy differences of the gene size in different regions. We also identified the important consensus sequence motifs, variation in 2000 upstream of ATG, substantial difference in the “3′UTR” region, and miRNA association in the buffalo sequences compared with the cow. In addition, genetic analyses, such as gene structure, phylogenetic tree, position of different motifs, and functional domains, were performed to establish their correlation with other species. This may indicate that a buffalo breed has potential resistance to disease, environment changes, and airborne microorganisms and some good production and reproductive traits

Effect of Somatic Cell Types and Culture Medium on in vitro Maturation, Fertilization and Early Development Capability of Buffalo Oocytes

This study was designed to evaluate the efficacy of different somatic cell types and media in supporting in vitro maturation (IVM), in vitro fertilization (IVF) and early embryonic development competence of buffalo follicular oocytes. Cumulus oocyte complexes were collected for maturation from follicles (>6mm) of buffalo ovaries collected at the local abattoir. Oocytes were co-cultured in tissue culture medium (TCM-199) with either granulosa cells, cumulus cells, or buffalo oviductal epithelial cells (BOEC) @ 3x106 cells/ml or in TCM-199 without helper cells (control) at 39°C and 5%CO2 in humidified air. Fresh semen was prepared in modified Ca++ free Tyrode medium. Fertilization was carried out in four types of media: i) Tyrode lactate albumin pyruvate (TALP), ii) TALP+BOEC, iii) modified Ca++ free Tyrode and iv) modified Ca++ free Tyrode+BOEC. Fertilized oocytes were cultured for early embryonic development in TCM-199 with and without BOEC. Higher maturation rates were observed in the granulosa (84.24%) and cumulus cells (83.44%) than BOEC co culture system (73.37%). Highest fertilization rate was obtained in modified Ca++ free Tyrode with BOEC co culture (70.42%), followed by modified Ca++ free Tyrode alone (63.77%), TALP with BOEC (36.92%) and TALP alone (10.94%). Development of early embryos (8-cell stage) improved in TCM-199 with BOEC co culture than TCM-199 alone. From the results of this study, it can be concluded that addition of somatic cells (granulosa cells, cumulus cells) results in higher maturation rates of buffalo follicular oocytes than BOEC co culture system, while fertilization rate improved in modified Ca++ free Tyrode with and without BOEC. Addition of BOEC to TCM-199 improved the developmental capacity of early embryo