We study the two player zero-sum Stackelberg game in which the leader interdicts (removes) a limited number of vertices from the graph, and the follower searches for the maximum clique in the interdicted graph. The goal of the leader is to derive an interdiction policy which will result in the worst possible outcome for the follower. This problem has applications in many areas, such as crime de...

Five carnation cultivars (‘Grand Salam’, ‘Nelson’, ‘Kaly’, ‘Cinderella’ and ‘Tempo’) were evaluated with respect to growth, yield and quality characteristics under lath house conditions at Kala Shah Kaku Research Station, Directorate of Floriculture, Lahore during 2011. Among the cultivars studied, maximum plant height was recorded in carnation cultivar ‘Grand Salam’ (78.66 cm) closely followed...

In the well-known scheduling game, a set of jobs controlled by selfish players wishes each to minimize the load of the machine on which it is executed, while the social goal is to minimize the makespan, that is, the maximum load of any machine. We consider this problem on the three most common machines models, identical machines, uniformly related machines and unrelated machines, with respect t...

We provide a new mathematical framework for the classic problem of fair allocation indivisible goods, showing that it can be formulated as finding an optimal column rearrangement multiple matrices. Based on this formulation, we design two novel algorithms called MinCov and MinCovTarget to find allocations under newly introduced notion minimum social inequality, popular envy. Numerical illustrat...

Challenging the international spread of highly energy-consuming air-conditioning technologies, this research explores how cooling demand is supported by local emergence relevant social norms. This paper presents results an interview study focused on norms currently found inside corporate offices in two large cities southern China. Building existing, mostly quantitative, studies office areas Chi...

Social anxiety is a psychological disorder affected by cognitive aspects of person. The aim of study was to investigate the role of informational, normative, and avoidance identity styles in predicting the variance of social anxiety amongst Iranian medical science students. Using stratified sampling method, one hundred and twenty students were selected from each of the colleges of medicine, pha...

background: palliative whole brain radiotherapy (wbrt) has been the standard treatment for brain metastases. ionizing radiation is known to be one of the most potent cataractogenic agents. we aimed to evaluate two different radiotherapy techniques with respect to the doses received by the organs at risk (oar) in patients with brain metastasis who undergone wbrt. materials and methods: ten conse...