We consider the important generalisation of Ramsey numbers, namely on-line numbers. It is easiest to understand them by considering a game between two players, Builder and Painter, on an infinite set vertices. In each round, joins non-adjacent vertices with edge, Painter colors edge red or blue. An number r˜(G,H) minimum rounds it takes force create copy graph G blue H, assuming that both play ...

The slow-coloring game is played by Lister and Painter on a graph G. On each round, Lister marks a nonempty subsetM of the uncolored vertices, scoring ∣M ∣ points. Painter then gives a color to a subset of M that is independent in G. The game ends when all vertices are colored. Painter and Lister want to minimize and maximize the total score, respectively. The best score that each player can gu...

The Ramsey game we consider in this paper is played on an unbounded set of vertices by two players, called Builder and Painter. In one move Builder introduces a new edge and Painter paints it red or blue. The goal of Builder is to force Painter to create a monochromatic copy of a fixed target graph H, keeping the constructed graph in a prescribed class G. The main problem is to recognize the wi...

The consumption of edamame [ Glycine max (L.) Merr.] in the US has rapidly increased due to its nutritional value and potential health benefits. In this study, 10 genotypes were planted duplicates three different locations US—Whitethorne, Virginia (VA), Little Rock, Arkansas (AR), Painter, VA. Edamame samples harvested at R6 stage bean development when beans filled 80–90% pod cavity. Afterward,...

several factors influenced on the presence of women in the pahlavi era. in the new structures after the constitutionalism and along with modernism of pahlavi, court became to the government and political figures changed to the people. in this era, the role of women in sexual approach, their changed from a class-in-itself to class-for-itself. the outgrowth of social backdrops caused that we can ...

We analyze the glass rhombicuboctahedron (RCO) appearing in a famous painting of Pacioli (1495), considering the extent to which it might agree with a physically correct rendering of a corresponding glass container half-filled with water. This investigation shows that it is unlikely that the painter of the RCO was looking at such a physical object. We then ask what a proper rendering of such an...

The Dutch painter Sir Peter Paul Rubens (June 28, 1577 – May 30, 1640), the most famous artist of the Flemish Baroque art school, studied anatomy and medicine to understand the human body and devoted his life to sharing views common among his contemporaries. Rubens believed that physical weakness could lead to spiritual weakness. He painted nudes and highlighted their physical beauty, goodness,...

Scree patterns are an important element of mountain maps in Swiss style. The size and density of scree dots vary with the exposition towards a source of illumination, which makes the dots extremely labour intensive to map without specialized algorithms. This paper identifies design principles for the symbolisation of scree fields on mountain slopes and presents a digital method for the quick pl...