The concept of Lucky k-polynomials and in particular Lucky χ-polynomials was recently introduced. This paper introduces Stirling number of the fourth kind and Lucky partitions of a finite set in order to determine either the Lucky k- or Lucky χ-polynomial of a graph. The integer partitions influence Stirling partitions of the second kind.

The application of powders to fingerprints has long been established as an effective and reliable method for developing latent fingerprints. The powders adhere to the ridge pattern of the fingerprint only, thus allowing the image to be visualised. Fingerprints developed in situ at a crime scene routinely undergo lifting with specialist tapes to facilitate subsequent laboratory analysis. As with...

because of reducing the number of spectators of football premier league, this study is seeking for identifying factors put the most impact on this decline. the statistical population consisted of all spectators in iran football premier league in 2015-16, out of which 395 spectators were randomly selected as the research samples. the data were collected via a researcher-made questionnaire. the f...

throughout a lifetime is essential for a favorable quality of life. Like most human tissue, skeletal muscle is highly plastic and is capable of responding to a stimulus through a network of anabolic signaling which results in growth and increases in strength. Skeletal muscle functions as the largest disposal site of ingested glucose 1, plays an important role in lipid oxidation 2, 3, and is one...

for any $k in mathbb{n}$, the $k$-subdivision of graph $g$ is a simple graph $g^{frac{1}{k}}$, which is constructed by replacing each edge of $g$ with a path of length $k$. in [moharram n. iradmusa, on colorings of graph fractional powers, discrete math., (310) 2010, no. 10-11, 1551-1556] the $m$th power of the $n$-subdivision of $g$ has been introduced as a fractional power of $g$, denoted by ...