[no abstract available]

Let $G*H$ be the product $*$ of $G$ and $H$. In this paper we determine the rth power of the graph $G*H$ in terms of $G^r, H^r$ and $G^r*H^r$, when $*$ is the join, Cartesian, symmetric difference, disjunctive, composition, skew and corona product. Then we solve the equation $(G*H)^r=G^r*H^r$. We also compute the Wiener index and Wiener polarity index of the skew product.

Fixture synthesis addresses the problem of fixture-elements placement on workpiece surfaces. This article presents a novel variant simulated annealing (SA) algorithm called declining neighborhood (DNSA) specifically developed for fixture synthesis. The objective is to minimize measurement errors in machined features induced by misalignment at locators-workpiece contact points. systematically ev...

Citation distributions are lognormal. We use 30 lognormally distributed synthetic series of numbers that simulate real citations to investigate the consistency h index. Using lognormal cumulative distribution function, equation defines index can be formulated; this shows has a complex dependence on number papers (N). also correlation between and exceeding various citation thresholds, from 5 500...