An edge-coloring of a connected graph is monochromatically-connecting if there is a monochromatic path joining any two vertices. How “colorful” can a monochromatically-connecting coloring be? Let mc(G) denote the maximum number of colors used in a monochromatically-connecting coloring of a graph G. We prove some nontrivial upper and lower bounds for mc(G) and relate it to other graph parameters...

Department of Mathematics, Department of Economics, and Center for the Study of Rationality, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel. e-mail: [email protected] web page: http://www.ma.huji.ac.il/hart Department of Mathematics and Center for the Study of Rationality, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel. e-mail: [email protected] Department of Mathe...

We study a variant of online bin packing, called colorful bin packing. In this problem, items that are presented one by one are to be packed into bins of size 1. Each item i has a size si ∈ [0, 1] and a color ci ∈ C, where C is a set of colors (that is not necessarily known in advance). The total size of items packed into a bin cannot exceed its size, thus an item i can always be packed into a ...

Colorful nanofibrous membranes have attracted much attention for their visual varieties and various functionalities. In this article, a colored solution electrospinning process was used to fabricate colorful hydrophobic poly(vinyl butyral) (PVB)/cationic dye nanofibrous membranes (NFMs) successfully. The color and morphology of these as-spun nanofibrous membranes have been analyzed by colorimet...

This study addresses the matter of reflexive control of the emotional states by means of Reflexive Game Theory (RGT). It is shown how to build a bridge between RGT and emotions. For this purpose the Pleasure-Arousal-Dominance (PAD) model is adopted. The major advantages of RGT are its ability to predict human behavior and unfold the entire spectra of reflexion in the human mind. On the other ha...

Using in situ spectrometry data and visual system modeling, we investigate whether the colors conferred to the reef-building corals by GFP-like proteins would look colorful not only to humans, but also to fish occupying different ecological niches on the reef. Some GFP-like proteins, most notably fluorescent greens and nonfluorescent chromoproteins, indeed generate intense color signals. An une...

A methodology for achieving brighter, more colorful colors and deeper, darker colors based on Evans’ zero gray ( G0) 1 and his concept of brilliance as a percept in color vision was demonstrated in media produced under current digital video and digital cinema standards – basically the sRGB set of primaries. Objects or surfaces in a scene represented in sRGB as having gray content in the Evans s...