In these notes we discuss a paper of Gupta, Roughgarden, and Seshadhri, “Decompositions of Triangle-Dense Graphs” [1]. The motivation of the paper is to develop a theory of algorithms for social networks, like the graphs derived from Facebook or Twitter data mentioned in the first lecture. That is, the goal is to develop graph algorithms that work well on social networks, if not on worst-case g...

In [1] (Hybrid Conjugate Gradient Algorithm for Unconstrained Optimization J. Optimization. Theory Appl. 141 (2009) 249 - 264), an efficient hybrid conjugate gradient algorithm, the CCOMB algorithm is proposed for solving unconstrained optimization problems. However, the proof of Theorem 2.1 in [1] is incorrect due to an erroneous inequality which used to indicate the descent property for the s...

This study investigated the amount of incidental vocabulary learning through comprehension-focused reading of short stories and explicit instruction to this goal.  Forty male high school students were selected randomly, and divided into two groups of twenty.  One group of these students was given five 400-word-level short stories to read with the purpose of comprehension, and the students in th...

Faced with the impact of Covid-19, Vietnam Government steadfastly carried out at same time goal repelling epidemics and economic development. Economic stimulus is a topic often mentioned recent scientific conferences regular sessions. Many confused opinions about concept great indicators have been revealed. The article based on some System National Accounts (SNA) to analyze make judgments appro...