8,465 research outputs found

    Complexity Analysis of Balloon Drawing for Rooted Trees

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    In a balloon drawing of a tree, all the children under the same parent are placed on the circumference of the circle centered at their parent, and the radius of the circle centered at each node along any path from the root reflects the number of descendants associated with the node. Among various styles of tree drawings reported in the literature, the balloon drawing enjoys a desirable feature of displaying tree structures in a rather balanced fashion. For each internal node in a balloon drawing, the ray from the node to each of its children divides the wedge accommodating the subtree rooted at the child into two sub-wedges. Depending on whether the two sub-wedge angles are required to be identical or not, a balloon drawing can further be divided into two types: even sub-wedge and uneven sub-wedge types. In the most general case, for any internal node in the tree there are two dimensions of freedom that affect the quality of a balloon drawing: (1) altering the order in which the children of the node appear in the drawing, and (2) for the subtree rooted at each child of the node, flipping the two sub-wedges of the subtree. In this paper, we give a comprehensive complexity analysis for optimizing balloon drawings of rooted trees with respect to angular resolution, aspect ratio and standard deviation of angles under various drawing cases depending on whether the tree is of even or uneven sub-wedge type and whether (1) and (2) above are allowed. It turns out that some are NP-complete while others can be solved in polynomial time. We also derive approximation algorithms for those that are intractable in general

    From Brand Identity to Brand Equity: A Multilevel Analysis of the Organization–Employee Bidirectional Effects in Upscale Hotels

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    Purpose: This study examines the mechanism of how hotel executive brand identity influences physical facility quality and customer-based brand equity (CBBE) and employee-based brand equity (EBBE). Design: The study introduces a multilevel model and collects 925 executive and 1,978 employee responses from 62 upscale hotels in China. Findings: Executive brand identity positively affects employee brand internalization, which leads to positive EBBE. Meanwhile, executive brand identity positively influences the physical facility quality, which leads to positive CBBE. Practical implications: Once hotel executives have a clear understanding of the brand identity, they will provide the necessary leadership in imparting the brand identity on their employees. Hotel executives must also convince owners of the value of physical facility quality to achieve a desirable CBBE. Originality/Value: This study considers the tangible (physical facilities) and intangible (employees) elements of hotel services to comprehensively investigate the brand equity (BE) formation. By applying multilevel structural equation modeling (SEM), the study examines the bidirectional relationship between organizations and employees in the brand value transformation process

    Comparing Motivations and Intentions of Potential Cruise Passengers from Different Demographic Groups: The Case of China

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    The cruise industry is the fastest growing leisure market in the world. As an essential component, the cruise market in China is growing rapidly over the recent years with the introduction of favorable government policies, new cruise terminals, and increased cruise awareness of customers. Unfortunately, only few studies have investigated the perceptions of Mainland Chinese consumers toward such industry. Hence, by adopting qualitative and quantitative research methods, this study explored how the motivation and intention of potential cruise consumers differed in terms of their demographic background. Travelers from different age, income, and marital status groups demonstrated varying cruise motivations and intentions. The influences of motivation factors on the cruise intention of consumers were also explored. Both the theoretical and practical contributions of the study were put forward accordingly

    Estimation of conditional average treatment effects with high-dimensional data

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    Ministry of Education, Singapore under its Academic Research Funding Tier

    High-definition vertically aligned liquid crystal microdisplays using a circularly polarized light

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    A high-definition vertically aligned liquid crystal (LC) microdisplay exhibits a excellent contrast ratio, but its fringing field effect splits the bright state unevenly and leads to a very slow response time. By utilizing a circularly polarized light instead of conventional linearly polarized light, we have overcome the long-standing problems of poor sharpness, low brightness, and slow response time. Confirming computer simulations agree with the experimental results well. This approach can be applied to both reflective and transmissive LC microdisplays
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