Let Kc n denote a complete graph on n vertices whose edges are colored in an arbitrary way. Let ∆mon(Kc n) denote the maximum number of edges of the same color incident with a vertex of Kn. A properly colored cycle (path) in Kc n is a cycle (path) in which adjacent edges have distinct colors. B. Bollobás and P. Erdös (1976) proposed the following conjecture: If ∆mon(Kc n) < b 2 c, then Kc n con...

This paper shows that in stochastic one-sector growth models, if the production function does not satisfy the Inada condition at zero, any feasible path converges to zero with probability one provided that the shocks are sufficiently volatile. This result seems significant since, as we argue, the Inada condition at zero is difficult to justify on economic grounds. Our convergence result is exte...

in the second half of the last century, tremendous efforts were devoted to identifying sources of economic success by a few countries and causes of failure by most. in this process a voluminous literature ranging from the neo-classical to marxist, neo-marxist, and dependency theories has been developed to answer the question of disparity among different countries of the north vis-à-vis those of...

in this paper, we have studied the effect of population on iranian economic growth by using optimal growth theory. optimal growth theory is a nonlinear dynamic planning. classical approaches in mathematics are used for solving these nonlinear systems. but, in this study, we have used genetic algorithm (ga) method. as results show, it seems that population growth in previous years (1350- 1386), ...

A path in an edge-colored graph is properly colored if no two consecutive edges receive the same color. In this survey, we gather results concerning notions of graph connectivity involving properly colored paths. Revision History • Revision 1: December, 2016 • Original: December, 2015 If you have corrections, updates or new results which fit the scope of this work, please contact Colton Magnant...

this paper examines the application of a gis based planning support system, what if? tm, to evaluate alternative growth policies for sustainable urban growth in a rapidly growing city of iran. the paper describes the study area, dorood city, and the what if? model. it then explains the procedures that were used to obtain the required data and to run the model to dorood city. the paper concludes...