The Exponent Set of Complete Asymmetric 2-digraphs

A 2-digraph is a digraph whose each ofits arcs is colored by either redor blue. The exponent ofa 2-digraphD is the smallest positive integerh + k over all possible nonnegative integers h and k such that for eachpair of vertices u and v in D there is a walk from u to v consisting of hred arcs and k blue arcs. In this paper, we show that for n > 5 theexponent set of complete asymmetic 2-digraphs on n vertices is Eo :{2,3,4}

On Exponents Of Primitive Graphs

A connected gaph G is primitive provided there exists a positive integerk such that for each pair of vertices u and v in G there is a walk of lengtht that connects u and v. The smallest of such positive integers k is calledthe exponent of G and is denoted by exp(G). In this paper, we give a newbound on exponent of primitive graphs G in terms of the length of thesmallest cycle of G. We show that the new bound is sharp andgeneralizes the bounds given by Shao and Liu et. al

Vertex Exponents of a Class of Two-colored Hamiltonian Digraphs

pdf abstract DOI : http://dx.doi.org/10.22342/jims.18.1.105.1-1

Upacara tradisional yang berkaitan dengan peristiwa alam dan kepercayaan daerah Jambi

Tujuan inventarisasi dan dokumentasi ini adalah untuk mengetahui dan mengungkapkan secara jelas dan lengkap segala sesuatu tentang upacara tradisional dalam kaitannya dengan peristiwa alam dan kepercayaan di daerah Jambi. Upacara Tradisional ini belum begitu banyak diketahui, sehingga dengan terungkapnya kelak akan dapat dimanfaatkan oleh siapa saja,terutama yang penting dapat diinventarisasi dan didokumentasikan oleh pemerintah. Jika hal ini terlambat dilakukan, maka kekhawatiran akan lenyapnya barang yang sangat berharga dan vital ini tidak dapat dihindari dan diatasi. Kekhawatiran ini memang masuk. akal dan beralasan, mengingat kecenderungan hilangnya para informan sebagai manusia sumber data. Di samping itu perubahan-perubahan nilai akibat perkembangan tata pergaulan modern yang bersifat rasional melanda pula kehidupan masyarakat yang bersangkutan. Pada hakekatnya tidak ada kebudayaan yang bersifat statis, cepat atau lambat pasti akan mengalami perubahan baik uisebabkan oleh faktor-faktor luar maupun oleh faktor-faktor dari dalam masyarakat itu sendiri

Evaluation of tourists satisfaction towards firefly industry in Sabah using importance-performance analysis model

This paper focuses on the human dimensions of the firefly watching experience in Sabah with the using of Importance-performance analysis (IPA). The objectives are to investigate the motivations of tourists participating in firefly tours and to assess tourist’s satisfaction with the environmental and tour services offered in Sabah using IPA analysis. The methods included site-based distribution of questionnaire to firefly tour participants at several firefly-watching sites in Sabah. Next, the importanceperformance analysis was performed using the importance and satisfaction mean scores. The IPA analysis identified 10 environmental and tour features of management concern. Overall, respondents were very satisfied with the tourism industry in Sabah stating that they would recommend the tour (88.6%) to others. Most participants were very satisfied with the interest in firefly (78.8%), proximity to fireflies (55.92%) and the number of fireflies seen (54.29%). As conclusion, this study provides a greater understanding of tourist’s motivation and satisfaction towards the firefly-watching industry in Sabah with the assist of Importance-performance analysis model

Challenges towards succession planning that pharmacists are facing in public hospitals in the greater Durban area KwaZulu-Natal, South Africa.

Masters Degree. University of KwaZulu-Natal, Durban.Succession planning is crucial for an organisation’s survival. Succession planning involves identifying, mentoring and retaining talented individuals for future key positions. The healthcare sector is faced with the challenge of retaining pharmacists. The high staff turnover in the public sector leads to increase in recruitment and training costs, poor healthcare services and adversely affects the implementation of innovative programmes such as the National Health Insurance. The study investigated the challenges that pharmacists are facing towards succession planning in the public hospital sector in the greater-Durban area, KwaZulu-Natal. The study utilised quantitative approach to collect data. An electronic survey was utilised to gather data in this study. Data was analysed to (1) identify the challenges that affect implementation of succession planning; (2) to establish the employee selection criteria; (3) to evaluate the impact of succession planning in pharmacy departments. The finding of the study indicated that majority of the pharmacists are not aware of succession planning programs in the public hospital sector. Furthermore, the results indicated that the institutions did not invest in training and mentoring of pharmacists. Majority of pharmacists in this study express a positive desire to be a part of succession planning programs expressing a positive attitude towards the program. The results indicate that retention will be enhanced. Furthermore, the impact of succession planning will enhance motivation, increase job satisfaction, develop and retain talented employees. The intangible characteristics of succession planning programs may deter investments. However, the positive impact on institutional productivity and sustainability are certainly worthwhile. Recommendations for the Department of Health were suggested including future research

A distributed architecture for unmanned aerial systems based on publish/subscribe messaging and simultaneous localisation and mapping (SLAM) testbed

A dissertation submitted in fulfilment for the degree of Master of Science. School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa, November 2017The increased capabilities and lower cost of Micro Aerial Vehicles (MAVs) unveil big opportunities for a rapidly growing number of civilian and commercial applications. Some missions require direct control using a receiver in a point-to-point connection, involving one or very few MAVs. An alternative class of mission is remotely controlled, with the control of the drone automated to a certain extent using mission planning software and autopilot systems. For most emerging missions, there is a need for more autonomous, cooperative control of MAVs, as well as more complex data processing from sensors like cameras and laser scanners. In the last decade, this has given rise to an extensive research from both academia and industry. This research direction applies robotics and computer vision concepts to Unmanned Aerial Systems (UASs). However, UASs are often designed for specific hardware and software, thus providing limited integration, interoperability and re-usability across different missions. In addition, there are numerous open issues related to UAS command, control and communication(C3), and multi-MAVs. We argue and elaborate throughout this dissertation that some of the recent standardbased publish/subscribe communication protocols can solve many of these challenges and meet the non-functional requirements of MAV robotics applications. This dissertation assesses the MQTT, DDS and TCPROS protocols in a distributed architecture of a UAS control system and Ground Control Station software. While TCPROS has been the leading robotics communication transport for ROS applications, MQTT and DDS are lightweight enough to be used for data exchange between distributed systems of aerial robots. Furthermore, MQTT and DDS are based on industry standards to foster communication interoperability of “things”. Both protocols have been extensively presented to address many of today’s needs related to networks based on the internet of things (IoT). For example, MQTT has been used to exchange data with space probes, whereas DDS was employed for aerospace defence and applications of smart cities. We designed and implemented a distributed UAS architecture based on each publish/subscribe protocol TCPROS, MQTT and DDS. The proposed communication systems were tested with a vision-based Simultaneous Localisation and Mapping (SLAM) system involving three Parrot AR Drone2 MAVs. Within the context of this study, MQTT and DDS messaging frameworks serve the purpose of abstracting UAS complexity and heterogeneity. Additionally, these protocols are expected to provide low-latency communication and scale up to meet the requirements of real-time remote sensing applications. The most important contribution of this work is the implementation of a complete distributed communication architecture for multi-MAVs. Furthermore, we assess the viability of this architecture and benchmark the performance of the protocols in relation to an autonomous quadcopter navigation testbed composed of a SLAM algorithm, an extended Kalman filter and a PID controller.XL201

Vertex Exponent of Asymmetric Two-coloured Cycle

This paper is about an asymmetric two-coloured cycle. Let D be an asymmetric two-coloured cycle on n vertices, where n is odd and n >= 3, we show that the exponent of the k-th vertex of D is exactly (n2-1)/4 + ⌊ k/2 ⌋