Quotient graphs for power graphs

In a previous paper of the first author a procedure was developed for counting the components of a graph through the knowledge of the components of its quotient graphs. We apply here that procedure to the proper power graph $\mathcal{P}_0(G)$ of a finite group $G$, finding a formula for the number $c(\mathcal{P}_0(G))$ of its components which is particularly illuminative when $G\leq S_n$ is a fusion controlled permutation group. We make use of the proper quotient power graph $\widetilde{\mathcal{P}}_0(G)$, the proper order graph $\mathcal{O}_0(G)$ and the proper type graph $\mathcal{T}_0(G)$. We show that all those graphs are quotient of $\mathcal{P}_0(G)$ and demonstrate a strong link between them dealing with $G=S_n$. We find simultaneously $c(\mathcal{P}_0(S_n))$ as well as the number of components of $\widetilde{\mathcal{P}}_0(S_n)$, $\mathcal{O}_0(S_n)$ and $\mathcal{T}_0(S_n)$

Investigating the effect of inquiry-based stress reduction on mortality awareness and interpersonal problems among intensive care unit nurses

Introduction Caring for dying patients is one of the job stressors. Nurses in intensive care units are among the medical staff who have a close interaction with dying patients. Studies have shown that psychological interventions are very helpful in improving thinking about death and its problems. Therefore, this study was conducted to investigate the effect of Inquiry-Based Stress Reduction on mortality awareness and interpersonal problems among intensive care unit nurses in southeastern Iran. Materials and methods This was a Quasi-experimental study with a pretest-posttest design in southeast of Iran in 2021. Nurses were selected using the convenience sampling method and divided into intervention (n = 32) and control (n = 35) groups using the block randomization method. The intervention group received a two-hour Inquiry-Based Stress Reduction counseling session every week for 6 weeks. Data were gathered using Multidimensional Mortality Awareness Measure and Inventory of Interpersonal Problems before, immediately after, and 6 weeks after the intervention. IBM SPSS Statistics software version 25 was used for data analysis. Results In the intervention group, the mean scores of Mortality Awareness before, immediately after, and 6 weeks after the intervention were 130.41 ± 5.91, 164.47 ± 8.66, and 163.91 ± 9.29, respectively. Therefore, in the intervention group, the increase of Mortality Awareness mean score was statistically significant (P < 0.001). In the control group, the mean scores of Mortality Awareness before, immediately after, and 6 weeks after intervention were 129.63 ± 5.59, 135.26 ± 11.14, and 132.66 ± 5.62, respectively. Difference between the two groups was significant (P < 0.001). The results also showed that in the intervention group the mean scores of Interpersonal Problems immediately after and 6 weeks after the intervention were lower than before the intervention (P < 0.001). In the control group, Interpersonal Problems increased over time (P < 0.001). Accordingly, the difference between the two groups in terms of Interpersonal Problems during the study was statistically significant (P < 0.001). Conclusion The study results suggest that the Inquiry-Based Stress Reduction is an appropriate intervention method to improve mortality awareness and reduce interpersonal problems in intensive care unit nurses

Being as an iceberg: hypertensive treatment adherence experiences in southeast of Iran.

BACKGROUND: Treatment adherence is often an important issue in the management of hypertension. Deep understanding of adherence behavior as well as its influential factors can expand knowledge about treatment adherence among hypertensives. OBJECTIVE: The aim of this study was to explore patients, their families, and healthcare providers' experiences about hypertension treatment adherence in southeast of Iran. DESIGN: A qualitative study was conducted to explore the experience of patients, family members, and healthcare providers (n=18) by using a conventional content analysis. The purposive sampling method was used. Data were collected through semi-structured and deep interviews. RESULTS: Data analysis showed that hypertensive treatment adherence in an Iranian context is like an iceberg with two subthemes. The first subtheme relates to the upper and clear part of this iceberg and it consists of two categories, including (1) healthy and (2) unhealthy regimens. The second subtheme associates with under-water and unanticipated part and it consists of four categories, including (1) the nature of disease and treatment, (2) the individual resources, (3) the healthcare organization, and (4) the socio-cultural environment. CONCLUSIONS: The treatment adherence features emerged in this study can be useful in designing and developing context-based hypertension interventions. Further qualitative and quantitative studies with a closer collaboration between the social, natural, and medical sciences in other Iranian populations are needed to confirm the findings. KEYWORDS: Iran; hypertension; lived experience; qualitative content analysis; treatment adherenc

Translation and validation of the Persian version of the treatment adherence questionnaire for patients with hypertension

BACKGROUND: Hypertension is a global public health crisis. Poorly controlled high blood pressure is one of the major factors contributed to this crisis. As lack of treatment adherence is often considered the main reason for this failure, the Treatment Adherence Questionnaire for Patient with Hypertension (TAQPH) was developed. Since this questionnaire should be reliable and strongly valid to be used in clinics and research, this study was performed to test the reliability and validity of the TAQPH. METHODS: A cross-sectional study was conducted to validate the Persian version of TAQPH after using a modified forward/backward translation procedure. A total of 330 hypertensive patients were participated in this study. Construct and criterion validity, Cronbach¢s alpha, and test-retest reliability were used to validate the Persian scale. RESULTS: Data analysis showed that the scale had excellent stability (intraclass correlation = 0.95) and good acceptability of internal consistency (α = 0.80). The exploratory factor analysis (EFA) was meaningful but was not confirmed with confirmatory factor analysis (CFA). The scale score was correlated with Morisky Medication Adherence Scale (MMAS) score (Ρ = 0.27). CONCLUSION: In total, most of the psychometric properties of the 25-item P-TAQHP achieved the standard level and were sufficient to recommend for general use

Wing geometry in the populations of Diaphorina citri (Hemiptera: Liviidae) in Iran and USA: an evidence for incongruence of molecular and morphometric data

Asian citrus psyllid (ACP), Diaphorina citri Kuwayama, is one of the most important citrus pests in the world.In addition to direct feeding damages, it also transmits the greening-disease pathogen. In order to improve understanding of geographic populations of ACP related to the mtCOI Haplotype-1, geometric morphometric was used to compare variations between populations of ACP in Iran and USA (Florida). The ACP populations were collected from the Iranian cities of Jiroft and Chabahar and Florida (USA) in 2014. 150 pecimens from five ACP populations (30 adult females per population) were randomly selected and analysed using ANOVA and MANOVA.The results indicate that wing-shape (Wilk.s lambda = 0.0910, F = 5.89, P < 0.0001) and wing-size (F = 61.41, df =4, P <.0001) were different between Iranian and USA populations. This study also showed incongruence betweenmorphometric and molecular data in the studied populations of D. citri from Iran and USA. The observed differences are probably due to genetic rather than environmental factors because of 1) significant multivariate differences in shape even after removing size variation and 2) significant correlation between geographic and morphometric distance matrices

Evaluation of the frequency of the IL-28 polymorphism (rs8099917) in patients with chronic hepatitis C using zip nucleic acid probes, Kerman, Southeast of Iran

Polymorphisms in the region of the interleukin IL-28 gene on chromosome 19 have been related with clearance of hepatitis C virus (HCV), a major human pathogen responsible for chronic hepatitis, cirrhosis and hepatocellular carcinoma. About 3 of the world's population is infected with HCV. The long-term response to therapy is influenced by many host and viral factors, and recent evidence has indicated that some host genetic polymorphisms related to IL-28 are the most powerful predictors of virological response in patients with HCV. This study assessed frequency of the IL-28 polymorphism (rs8099917) in 50 patients (39 men and 11 women ) with chronic hepatitis C using ZNA probe real time PCR new method . All patients were tested for genotype of HCV and the HCV viral load. In parallel, the levels of SGOT, SGPT and ALK enzymes were assessed. Treatment using Peg-interferon alpha with ribavirin was conducted for patients and subsequently samples were collected to detect any change in viral load or liver enzyme rates. The overall frequency of the TT allele is 74, TG allele 20 and GG allele 6 and the percent of patients who had T allele was 84. Clear reduction in viral load and liver enzymes was reported in patients with the T allele. Especially for genotype 1 which is relatively resistant to treatment, these alleles may have a role in this decline. In conclusion, we showed that IL-28 polymorphism rs8099917 strongly predicts virological response in HCV infection and that real-time PCR with Zip nucleic acid probes is a sensitive, specific and rapid detection method for detection of SNPs which will be essential for monitoring patients undergoing antiviral therapy

Burst Out of the Dead Land by the Help of Spirituality: A Case Study of Living with Blindness and Cancer.

Blindness is one of the most complex problems related to health throughout the world. The condition is worse when such stress is accompanied with cancer. The aim of this case study was to introduce a patient with both these conditions who could come over her problems well. A phenomenological hermeneutic approach influenced by Ricoeur was used to explore the experience of the patient. Data were collected through unstructured and deep interview and by checking patient medical records. The patient is an Iranian 58-year-old teacher residing in Kerman who became blind at age 32 due to bloodshed inside the eye and was affected by breast cancer at age 52. The patient could come over these divine tests through the help of spirituality so that she believed blindness and cancer was the best events in her life. Spirituality is one of the human aspects that give meaning and purposes to life. Health care providers are suggested to implement spiritual strategies such as instructional workshops for increasing spirituality in settings, such as oncologic wards for patients to pass stages of adaptation to such great stresses easily and rapidly

Hamiltonicity of 3-arc graphs

An arc of a graph is an oriented edge and a 3-arc is a 4-tuple $(v,u,x,y)$ of vertices such that both $(v,u,x)$ and $(u,x,y)$ are paths of length two. The 3-arc graph of a graph $G$ is defined to have vertices the arcs of $G$ such that two arcs $uv, xy$ are adjacent if and only if $(v,u,x,y)$ is a 3-arc of $G$. In this paper we prove that any connected 3-arc graph is Hamiltonian, and all iterative 3-arc graphs of any connected graph of minimum degree at least three are Hamiltonian. As a consequence we obtain that if a vertex-transitive graph is isomorphic to the 3-arc graph of a connected arc-transitive graph of degree at least three, then it is Hamiltonian. This confirms the well known conjecture, that all vertex-transitive graphs with finitely many exceptions are Hamiltonian, for a large family of vertex-transitive graphs. We also prove that if a graph with at least four vertices is Hamilton-connected, then so are its iterative 3-arc graphs.Comment: in press Graphs and Combinatorics, 201

Biodiversity of braconid fauna (Hym.: Ichneumonoidea: Braconidae) in Sirch region, Kerman province, Iran

This study was intended to investigate the diversity of parasitoid wasps of the family Braconidae in different habitats dominated by the plant species Medicago sativa L., Mentha pulegium L., Sophora alopecuroides L. and Rubus sp. About 563 braconid specimens of four subfamilies, Macrocentrinae, Alysiinae, Braconinae and Rogadinae were collected between May and December 2014. Alfalfa (450 individuals) and pennyroyal (28 individuals) had the highest and the lowest collected specimens respectively. The similarity index of Morisita-Horn showed that sophora and alfalfa had the highest similarity in terms of collected genera. The higher density of alfalfa lowered the value of biodiversity (0.566) while the highest diversity occurred in sophora (339/1). CCA analysis showed that the differences in dispersion of the genera were due to differences of habitats. The Jackknife index suggested higher number of expected genera than collected ones