Consider the following game between two players, Builder and Painter. Builder draws edges one at a time and Painter colours them, in either red or blue, as each appears. Builder’s aim is to force Painter to draw a monochromatic copy of a fixed graph G. The minimum number of edges which Builder must draw, regardless of Painter’s strategy, in order to guarantee that this happens is known as the o...

A 45-year-old man presented with left-sided pleuritic chest pain and shortness of breath that developed suddenly while playing golf. The man had been in his usual state of health when these symptoms developed. His medical history was significant only for atrial fibrillation that was successfully treated 8 months previously via circumferential radiofrequency ablation. The patient was a nonsmoker...

“T call yourself a New Yorker you must have been to Harlem at least once. Every up-to-date person knows Harlem, and knowing Harlem generally means that one has visited a night club or two,” wrote novelist and editor Wallace Thurman, “....The music is good, the dancers are gay, and setting is conducive to joy” (1). In the 1920s, nightclubs, bars, and cabarets were much in vogue in most of the we...

On-line graph coloring algorithms have been defined in [2] as algorithms whose input graph is presented vertex by vertex, at each step the current vertex is given with all adjacencies to previously given vertices. The algorithm must color irrevocably the current vertex and has to maintain a proper vertex coloring. The simplest and best understood example of an on-line coloring algorithm is the ...

In traditional art a painter displays a 3D scene on a 2D image plane in a manner that is aesthetically pleasing. The arrangement of objects and colors is called composition and is the subject of many art books and classes. While a painter may use perspective to create depth in a scene they may also alter the perspective and color, either subtly or dramatically, to influence the focus of viewer ...

Traditional portrait artists use a specific but open human vision methodology to create a painterly portrait of a live or photographed sitter. Portrait artists attempt to simplify, compose and leave out what’s irrelevant, emphasizing what’s important. While seemingly a qualitative pursuit, artists use known but open techniques such as relying on source tone over colour to indirect into a colour...