The complement of proper power graphs of finite groups

For a finite group $G$, the proper power graph $\mathscr{P}^*(G)$ of $G$ is the graph whose vertices are non-trivial elements of $G$ and two vertices $u$ and $v$ are adjacent if and only if $u \neq v$ and $u^m=v$ or $v^m=u$ for some positive integer $m$. In this paper, we consider the complement of $\mathscr{P}^*(G)$, denoted by ${\overline{\mathscr{P}^*(G)}}$. We classify all finite groups whose complement of proper power graphs is complete, bipartite, a path, a cycle, a star, claw-free, triangle-free, disconnected, planar, outer-planar, toroidal, or projective. Among the other results, we also determine the diameter and girth of the complement of proper power graphs of finite groups.Comment: 29 pages, 14 figures, Lemma 4.1 has been added and consequent changes have been mad

Connected Hub Sets and Connected Hub Polynomials of the Lollipop Graph L_(p,1)

Let  be a graph with vertex set . The number of vertices in  is the order of  and is denoted by . The connected hub polynomial of Gdenoted by  is defined as  where  denotes the number of connected hub sets of  of cardinality and denotes the connected hub number of .Let  denotes the Lollipop graph with  vertices. The connected hub polynomial of  denoted by  is defined as,where denotes the number of connected hub sets of  of cardinality , and denotes the connected hub number of .In this paper, we derive a recursive formula for . From this recursive formula, we construct the connected hub polynomial of  as,Also we study some properties of this polynomia

Implementation of Dynamic Frequency Controlled Parallel-Pixel Processing System

The main objective of this work is to develop an effective hardware system that respond to a run-time power constraint. These are handled on FPGAs by Dynamic Frequency Control (DFC) for the management of digital image and video processing architectures. In proposed design, the DFC is handled by utilising minimum resources. The pixel-processor architecture designed here is based on the implementation of single-pixel gamma correction operation. Here, the power and performance in-terms of throughput are constraints of digital image depend on the frequency of operations and number of pixel processing cores. The dynamic frequency controlled parallel-pixel processor is implemented on Virtex-6 FPGA’s and parallel-pixel processor architecture is verified by using System Generator

A prospective study of the pattern of morbidity and medication use during antenatal and perinatal period in mothers of neonates admitted to neonatal intensive care unit of a tertiary care hospital

Background: Most drugs taken by pregnant women can cross the placenta (except high molecular weight drugs like heparin) and expose the foetus to pharmacologic and teratogenic effects. The drugs used in the late antenatal and intranatal period may have a potential perinatal and neonatal outcome.Methods: The pattern of maternal morbidity and drug use was assessed prospectively in 150 consecutive mothers of neonates admitted to NICU. The number of drugs used, therapeutic class, dose, route, frequency and purpose of use were recorded. The efficacy and safety of medications was assessed by neonatal outcome.Results: The most common maternal morbidity during pregnancy was PIH, eclampsia, hypothyroidism, GDM, PROM, oligohydromnias, anemiaorpolyhydromnias, and 4% (n=6) had more than one complication. Different therapeutic classes of drugs were used as per the prevailing clinical conditions or complications. The total number of drugs used was 26, with an average of 3.68 per subject. AMAs were the most commonly used drugs, chosen empirically and used in combination for prophylaxis or control of infections. Other classes of drugs were used for specific indications. None of the NICU admissions in the present study seem to be related to antenatal or perinatal drug exposure. The treatment outcome was very good in most of the subjects and no drug related adverse events or interactions were observed.Conclusions: Maternal morbidity and drugs administered to mother play an important role in improving the neonatal outcome

CHEMISTRY OF KUPIPAKVA RASAYANA W.S.R. TO TAMRA SINDOORA

Kupipakva rasayana are unique pharmaceutical procedure in the field of Rasashastra where in Mercury along with other minerals and metals are sublimated by subjecting it to gradual increase in temperature for specific time. They are more potent and quick acting even in smaller dose. Tamra Sindoora is one such Kupipakva Rasayan which is not that much popular and widely used in daily practice. But it is having a wide range of therapeutic utility. It is a combination of Parada (mercury), Gandhaka (sulphur) and Tamra (copper) in the ratio of 1:1:1/2. Chemistry itself includes the determination of chemical and biological incompatibilities among the various ingredients of a prescription. Here we will come to know about various synthetic methods by which natural substances are converted into products with more favourable therapeutic or pharmaceutical properties. In the present paper will discuss about probable chemistry of Tamra Sindoora

Instrumental delivery: a comparative study in a tertiary care hospital

Background: To compare maternal and neonatal outcomes of vacuum versus forceps application in assisted vaginal delivery.Methods: Women in labor with vertex presentation were delivered by indicated/propylactic vacuum or forceps. A total of 500 cases were included in this retrospective study. Maternal and neonatal morbidity were compared in terms of perineal lacerations, episiotomy extension, post-partum hemorrhage, Apgar score, neonatal jaundice, perinatal mortality, NICU admissions etc. Chi square test was used to analyze the data.Results: Maternal morbidity was significant in the forceps group. With regards to neonatal morbidity, in NICU admissions, statistically significant difference was noted.Conclusions: Vacuum and forceps should remain appropriate tools in the modern obstetrics. However, ventouse may be chosen first (if there is no fetal distress) as it is significantly less likely to injure the mother and decrease NICU admissions

Quality in Coriander leaves as influenced by growing conditions

A study was conducted in the plains of Kerala to investigate the performance of coriander leaffor its quality aspects in open and rain shelter conditions. The study suggested that significantlyhigher herbage and biomass yield (g/ plant) was observed from plants grown in rain shelter(9.21 and 12.78) compared to the open field (8.41 and 11.34). Among the varieties, Arka Isharecorded the highest herbage and biomass yield (10.46 and 14.13g/plant) followed by CO-1(8.97and 12.70).There was a significant higher vitamin C content (mg/100g) in open field(189.72) compared to rain shelter ( 124.55) and volatile oil ranging from 0.05-0.06 % in boththe growing conditions and were on par. Total chlorophyll content was recorded more in openfield (1.98) than in rain shelter (1.92) Among the varieties, total chlorophyll was more in CO-4(2.33). However, this need to be confirmed by further studies