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

Cooperative Learning: Value-Added To Operations Management

Integrating cooperative learning techniques with information technology and applying it to the field of Production and Operations Management (P/OM) will help to investigate how Computer-Supported Cooperative Learning (CSCL) can enhance learning performance of students.  Research in CSCL provides evidence that collaborative communication technology can be a better mechanism to add value to education.  Most studies, however, have examined learning performance only during the middle and end of the learning process.  Thus, it is not clear how information technology can continuously facilitate and improve student performance and learning experience over time. The purpose of this research is to examine how information technology, when applied to communication medium, can facilitate the learning process in the field of production and operations management. This study compared traditional, face-to-face cooperative learning environments to computer-supported cooperative learning environments for differences in students’ learning performance and group member satisfaction

The voices of local NGOs in climate change issues: Examples from climate vulnerable nations

© 2018 by the author(s). The contributions of small local non-government organisations (NGOs) in countries at risk from climate change to knowledge creation and action on climate change are rarely considered. This study sought to remedy this by focusing on NGOs in member countries of the Climate Vulnerable Forum (CVF). Analysing data from Intended Nationally Determined Contributions (INDCs), NGO websites and email correspondence with NGO staff through a knowledge brokering typology, this study examines the ways in which local NGOs in five members of the CVF (Afghanistan, Bhutan, Kiribati, Nepal and Tuvalu) take action, generate new knowledge and understandings and contribute to the plans and actions of their government and the international community. The study found that local NGOs are involved in the creation of new knowledge both at the scientific and community level and engage in actions to support adaptation to climate change. However, there are differences in the approaches they take when making contributions to scientific knowledge and climate change debates. The findings of this study suggest the need to reconceptualise the role of local NGOs in small countries at risk from climate change

Integration Of Information Technology And Simulation For Managing Manufacturing-Logistics Network

This paper helps investigate the integration of information technology (IT) and simulation in order to help understand how to set reliable delivery dates in manufacturing-logistics networks.  This integration is necessary to assist organizations involved in the network to help plan and control their operations more efficiently.  The authors reviewed previous work in the areas of IT-oriented logistics, real time simulation, and due date assignment.  We describe a general architecture for a real-time simulation-based system and create a prototype based on our architecture.  An application of the prototype in a small manufacturing company is employed.  The prototype implemented was for a local manufacturer of made-to-order safety windows with three manufacturing plants and a one office location, all within a 50-mile radius.  The prototype for this company was developed utilizing a Boreland’s Delphi 3 application development tool.  The reason that a distributed simulation model was not implemented was that we focused on validating the most critical components of our architecture using a simple prototype as our initial validation effort.  The following possible advantages of our architecture were identified: *        The architecture can use the most up-to-date operational data to make decisions regarding delivery date assignment and network management.*        The architecture can support both central and distributed environments. *        The prototype developed based on the architecture could assign tight delivery dates.*        The prototype could be used to maintain or increase the level of on-time deliveries by monitoring the operations.*        The prototype could generate options on delivery dates and cost based on routings/priority and transportation service options.&nbsp

Computer-supported collaborative learning performance and satisfaction: A muiti-stage study

Research in computer-supported cooperative learning provides evidence that collaborative technology can enhance learning performance and increase affective experiences in the context of cooperative learning. Most studies, however, have examined the learning performance only during the middle and end of the process. It is not clear how information technology continuously facilitates and improves student performance and learning experience over time. By employing a multidisciplinary approach, the research presented in this article drew research findings in the fields of communication, information systems, and education to examine cooperative learning processes with a continuous, longitudinal study. Based on a descriptive model of computer-supported cooperative learning, this research examined the effect of a collaborative technology on the accumulation of learning performance and learning satisfaction on group members. Three sets of hypotheses regarding learning performance, perceived learning performance, and group member satisfaction are examined

Effect of bypass fat on growth and body condition score of male Beetal goats during summer

The objective of the present study was to investigate the effect of feeding rumen bypass fat on the growth of male Beetal goats. Twenty-seven male kids with an average bodyweight of 34 ± 1.8 kg (mean ± SD) and aged 12 to 15 months were randomly divided into three treatment groups under a completely randomized design. The treatments consisted of : i) CON, basal diet without added fat (basal diet of chopped sorghum with 0.75 kg concentrate per animal); ii) MF, basal diet with added fat at 2.5% of dry matter in concentrate (Energizer-RP10, Scothorn Nutrition, Malaysia); and iii) HF, basal diet with added fat at 5% of dry matter in concentrate. Dry matter intake (DMI) and faecal score were recorded daily. Live bodyweight was recorded fortnightly. Linear body measurements, which included wither height (WH), heart girth (HG), body length (BL), and body condition scores (BCS), were recorded monthly. The results indicated that the addition of bypass fat in concentrate did not affect DMI linearly. However, a quadratic trend of DMI was observed in response to fat addition (P <0.1). The average daily gain was similar for CON, MF, and HF treatment groups (P >0.05). Moreover, the addition of bypass fat did not affect the BCS, WH, HG, and BL. The HF group had a higher faecal score than the CON and MF groups (P <0.05). The current findings conclude that the addition of bypass fat in diets did not improve the growth performance of yearling Beetal male goats.Keywords: average daily gain, body measurements, supplemental fat

Effect of drought stress on growth, yield and seed quality of tomato (Lycopersicon esculentum L.)

Plant growth is seriously affected by abiotic stresses such as drought, salinity or temperature. Drought is one of the most important limiting factors for agricultural crops and vegetable production in particular all around the world. Drought stress during vegetative or early reproductive growth usually reduces yield by reducing the number of seeds, seed size and seed quality. To assess the effect of drought stress on seed yield, seed quality and growth of tomato, the experiment was conducted in green house in plastic pots at Pen-y-Fridd field station, University of Wales, Bangor, U.K. during 2003-2004. Tomato cv. ‘Moneymaker’ was used as a test crop. There were four treatments i.e. early stress (when first truss has set the fruits), middle stress (when fruits in first truss were fully matured and started changing their colour), late stress (when fruits on first truss were ripened fully), whereas in control no stress was imposed. Analysis of data regarding various attributes (fruit weight and shoot dry weight per plant, number of seeds per fruit, total number of seeds and seed weight per plant and vigour of seed) showed that drought stress had non-significant effect on vigour, quality and yield of tomato seed. Plant height, number of leaves and number of fruits per plant showed significant results toward drought stress signifying drought effects on growth of tomato

Phenotypes of Alpha 1 Antitrypsin in Karachi, Pakistan

Objective: To determine serum level of the protease inhibitor, to identify phenotypes and determine their frequencies. Study Design: A prospective study. Setting: PMRC Research Centre, JPMC and the Aga Khan University Hospital Karachi. Subjects: Healthy aduIts without history ol peptic ulcer disease and a normal endoscopy. Methodology: Quantitive measurement of serum alpha 1 AT was carried out by radial immunodiffusion. phenotyping by iso-electric focusing and confirmation of phenotypes by immunofixation and DNA analysis technique. Results:Serum alpha I AT was low in 13.4% of the subjects. Ni MM phenotype predominated followed by SZ SS, MZ and ZZ. DNA diagnosis accurately resolved the phenotypes as S and Z. Conclusion: Frequency by phenotype associated with total and intermediate deficiency is less in the populatio

Comparative study of radio pulses from simulated hadron-, electron-, and neutrino-initiated showers in ice in the GeV-PeV range

High energy particle showers produce coherent Cherenkov radio emission in dense, radio-transparent media such as cold ice. Using PYTHIA and GEANT simulation tools, we make a comparative study among electromagnetic (EM) and hadronic showers initiated by single particles and neutrino showers initiated by multiple particles produced at the neutrino-nucleon event vertex. We include all the physics processes and do a complete 3-D simulation up to 100 TeV for all showers and to 1 PeV for electron and neutrino induced showers. We calculate the radio pulses for energies between 100 GeV and 1 PeV and find hadron showers, and consequently neutrino showers, are not as efficient below 1 PeV at producing radio pulses as the electromagnetic showers. The agreement improves as energy increases, however, and by a PeV and above the difference disappears. By looking at the 3-D structure of the showers in time, we show that the hadronic showers are not as compact as the EM showers and hence the radiation is not as coherent as EM shower emission at the same frequency. We show that the ratio of emitted pulse strength to shower tracklength is a function only of a single, coherence parameter, independent of species and energy of initiating particle.Comment: a few comments added, to bo published in PRD Nov. issue, 10 pages, 3 figures in tex file, 3 jpg figures in separate files, and 1 tabl