A connected edge-colored graph G is rainbow-connected if any two distinct vertices of G are connected by a path whose edges have pairwise distinct colors; the rainbow connection number rc(G) of G is the minimum number of colors such that G is rainbow-connected. We consider families F of connected graphs for which there is a constant kF such that, for every connected F-free graph G, rc(G) ≤ diam...

Abstract Various methods are used to characterize the deterioration of mechanical properties in polymers. The focus is set on distinguishing between time‐dependent and irreversible damage two different grades polypropylene. First, digital image correlation utilized capture stress–strain behavior during monotonic tensile tests. Changes specimen volume recorded throughout experiment serve as an i...

In this study, the third order polynomial regression (PR) and deep neural networks (DNN) were used to perform color characterization from CMYK CIELAB space, based on a dataset consisting of 2016 samples which produced using Stratasys J750 3D printer. Five output variables including CIE XYZ, logarithm CIELAB, spectra reflectance principal components compared for performance printer characterizat...