A note on top down and bottom up analysis of strongly connected digraphs

On spectral radius of strongly connected digraphs

 It is known that the directed cycle of order $n$ uniquely achieves the minimum spectral radius among all strongly connected digraphs of order $nge 3$. In this paper, among others, we determine the digraphs which achieve the second, the third and the fourth minimum spectral radii respectively among strongly connected digraphs of order $nge 4$.  

Bottom-up, top-down

Top-Down Analysis for Bottom-Up Development

Component-based software engineering (CBSE) is the construction of software systems from software components. Software components are independently deployable units of executable code that can be assembled into a system based on their externally visible properties, which are made available to system developers via the components interface specifications. Software components provide a means for ...

A Comparative Study of Effect of Bottom-up and Top-down Instructional Approaches on EFL Learners’ Vocabulary Recall and Retention

This quasi-experimental study investigated the effect of bottom-up and top-down instructional approaches on English as a foreign language (EFL) vocabulary recall and retention. To this end, 44 high school students from two intact classes were assigned to bottom-up (n = 21) and top-down (n = 23) groups. The participants were exposed to 20 hours of explicit vocabulary instruction during 10 weeks ...

Event-Related Potentials of Bottom-Up and Top-Down Processing of Emotional Faces

Introduction: Emotional stimulus is processed automatically in a bottom-up way or can be processed voluntarily in a top-down way. Imaging studies have indicated that bottom-up and top-down processing are mediated through different neural systems. However, temporal differentiation of top-down versus bottom-up processing of facial emotional expressions has remained to be clarified. The present st...