Metric dimension of line graph of the subdivision of the graphs of convex polytopes

The metric generator for the simple connected graph Γ is the set of vertices Y ⊆ V(Γ) with the property that every pair of vertices u, v(u 6= v) ∈ V are determined (or resolved) by some vertex of Y. The minimum possible cardinality of this metric generator is called the metric dimension of Γ, denoted by dim(Γ)or β(Γ). In this article, we determine the exact metric dimension and some other properties of the line graph of the subdivision graph of the graph of convex polytope Dn (exists in the literature).Publisher's Versio

On the metric dimension of a class of planar graphs

Let H = (V, E) be a non-trivial connected graph with vertex set V and edge set E. A set of ordered vertices Rm from V (H) is said to be a resolving set for H if each vertex of H is uniquely determined by its vector of distances to the vertices of Rm. The number of vertices in a smallest resolving set is called the metric dimension of H. In this article, we study the metric dimension for a rotationally symmetric family of planar graphs, each of which is shown to have an independent minimum resolving set of cardinality three.Publisher's Versio

Calculation of SAR and Measurement of Temperature Change of Human Head Due To The Mobile Phone Waves At Frequencies 900 MHz and 1800 MHz

Today, cell phone technology is an integral part of everyday life and its use is not only restricted to voice conversations but also conveying news, high resolution pictures and internet. As the number of mobile phone usage increased exponentially nowadays, issues related to the electromagnetic radiation produce by mobile phone is becoming a big concern in the society. Mobile phone produced electromagnetic waves  and when placed near the ear skull, will produce electromagnetic radiation so called thermal effect. The transfer of electromagnetic field to the body producing thermal effect leads to heating of body tissue at specific rate. This effect is differ depending on the period of time the mobile phone being used  and type of mobile phone. This paper discussed on the result of thermal distribution generated by handheld mobile phone towards human head via collection of image from thermal imaging camera. The analysis is conducted  in an anechoic chamber with average of 45 minutes talking hour with two different types of mobile phone, internal and external antenna serving different radio frequency range, 900 MHz and 1800 MHz . The results showed an increased of heat especially at the place near the ear skull after 45 minutes of operation. When comparing both different types of mobile phone, mobile phone with external antenna produce more heat compared to mobile phone with internal antenna. Key words: Electromagnetic Radiation of  900 MHz and 1800 MHz Frequencies , Handheld Device, Thermal Effect, Non Thermal Effec

On the orbits of some metabelian groups

In this study, the orbits of non abelian metabelian groups of order 26, 28 and 30 are found using conjugation action. The non abelian metabelian groups considered in this study are some dihedral groups D₁₃, D₁₄ and D₁₅ as well as the semidirect products D₇ × Z₂, D₅ × Z₃ and D₃ × Z₅. In order to obtain the orbit, the set of all pairs of commuting elements of the groups of size two is found. The results obtained from the orbits are then applied into an extension of commutativity degree which is the probability that an element of the groups fixes a set. Finally, the generalized conjugacy class graph is constructed and its chromatic number and clique number are also found.Publisher's Versio

Preparation of Apamarga Pratisaraneeya Kshara and its Physico-chemical Analysis

Introduction: Kshara is described in Anuyantras and Anushastras according to Acharya Sushruta. It is considered to be Pradhana among Shashtra and Anushashtra because of its Chedana, Bhedana, Lekhana property, as well as it is said to be Tridoshaghna and used for the special procedures. Pratisaraneya Kshara is been indicated externally for various disorders such as Arsha, Bhagandara, Kilasa. Materials and Methods: Pratisaraneeya Kshara with the drug Apamarga is prepared as per Acharya Sushruta’s description with 12 kg of Apamarga Panchanga. Results: Physico-chemical analysis: iron as Fe - 0.043%, sodium- 0.63%, potassium - 9.19%, ph value - 13.88, acid insoluble ash - 9.69%, loss on drying at 110 degree c - 64.24%, total ash - 47.03%, colour - white. Discussion: Physicochemical analysis shows ph value as alkaline, amount of insoluble ash, iron, sodium and potassium. Conclusion: The method of preparation of Pratisaraneeya Kshara holds good even for today’s era and can be considerd as standard protocol for Teekshana Pratisaraneeya Apamarga Kshara

Batch and fed-batch ethanol fermentation of cheese-whey powder with mixed cultures of different yeasts

Eight yeast strains of Lachancea thermotolerans, Kluyveromyces marxianus, and Kluyveromyces waltii have been tested for their ability to ferment lactose into ethanol in mashes containing 10% (w/v) cheese whey powder (CWP). The K. marxianus NCAIM Y00963 achieved 3.5% (v/v) ethanol concentration at 96–120 h of fermentation. The ethanol production by the selected lactose-positive strains and the well-known ethanologenic Saccharomyces cerevisiae (Levuline Fb) in mixed culture was also investigated at different CWP concentrations and inoculation techniques in batch mode. The mixed culture in an equal ratio (1:1) of cell counts of K. marxianus and S. serevisiae showed an increase in lactose conversion rate. The two yeast strains in a ratio of 3:1 (three-quarters of K. marxianus and a quarter of S. cerevisiae in a total of 4.5 × 1010 cells) resulted in 72.33% efficiency of lactose bioconversion and 7.6% (v/v) ethanol production at 17.5% (w/v) of CWP concentration. In the repeated inoculation process, with the addition of three-quarter part of 3:1 ratio of mixed culture (3.3 × 1010 cells of K. marxianus) into 150 mL CWP mash at initiation and the rest quarter part (1.2 × 1010 cells of S. cerevisiae) at 24 h, 8.86% (v/v) ethanol content with 87.5% efficiency of lactose conversion was reached. Both the ethanol concentration and efficiency of bioconversion were increased to 10.34% (v/v) and 92%, respectively, by combination with fed-batch fermentation technology. Our results can serve a very good basis for the development of industrial technology for the utilization of cheese whey

Pretreatment of lignocelluloses for enhanced biogas production: A review on influencing mechanisms and the importance of microbial diversity

Received 13 August 2019; Received in revised form 10 July 2020; Accepted 28 July 2020, Available online 11 August 2020.As one of the most efficient methods for waste management and sustainable energy production, anaerobic digestion (AD) countenances difficulties in the hydrolysis of lignocelluloses biomass. Different pretreatment methods have been applied to make lignocelluloses readily biodegradable by microorganisms. These pretreatments can affect biogas yield by different mechanisms at molecular scale, including changes in chemical composition, cellulose crystallinity, degree of polymerization, enzyme adsorption/desorption, nutrient accessibility, deacetylation, and through the formation of inhibitors. The present article aims at critically reviewing the reported molecular mechanisms affecting biogas yield from lignocelluloses via different types of pretreatments. Then, a new hypothesis concerning the impact of pretreatment on the microbial community developed (throughout the AD process from an identical inoculum) was also put forth and was experimentally examined through a case study. Four different leading pretreatments, including sulfuric acid, sodium hydroxide, aqueous ammonia, and sodium carbonate, were performed on rice straw as model lignocellulosic feedstock. The results obtained revealed that the choice of pretreatment method also plays a pivotally positive or negative role on biogas yield obtained from lignocelluloses through alteration of the microbial community involved in the AD. Considerable changes were observed in the archaeal and bacterial communities developed in response to the pretreatment used. Sodium hydroxide, with the highest methane yield (338 mL/g volatile solid), led to a partial switch from acetoclastic to the hydrogenotrophic methane production pathway. The findings reported herein undermine the default hypothesis accepted by thousands of previously published papers, which is changes in substrate characteristics by pretreatments are the only mechanisms affecting biogas yield. Moreover, the results obtained could assist with the development of more efficient biogas production systems at industrial scale by offering more in-depth understanding of the interactions between microbial community structure, and process parameters and performance

The hydrophobic patch of ubiquitin is required to protect transactivator–promoter complexes from destabilization by the proteasomal ATPases

Mono-ubiquitylation of a transactivator is known to promote transcriptional activation of certain transactivator proteins. For the Sacchromyces cerevisiae transactivator, GAL4, attachment of mono-ubiquitin prevents destabilization of the DNA–transactivator complex by the ATPases of the 26S proteasome. This inhibition of destabilization depends on the arrangement of ubiquitin; a chain of ubiquitin tetramers linked through lysine 48 did not display the same protective effect as mono-ubiquitin. This led to an investigation into the properties of ubiquitin that may be responsible for this difference in activity between the different forms. We demonstrate the ubiquitin tetramers linked through lysine 63 do protect from proteasomal-mediated destabilization. In addition, we show that the mutating the isoleucine residue at position 44 interferes with proteasomal interaction in vitro and will abolish the protective activity in vivo. Together, these data implicate the hydrophobic patch of ubiquitin as required to protect transactivators from destabilization by the proteasomal ATPases