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Above:A 3:1-coloring of the cycle on 5 vertices, and the corresponding 6:2-coloring. Below: A 5:2 coloring of the same graph. A b-fold coloring of a graph G is an assignment of sets of size b to vertices of a graph such that adjacent vertices receive disjoint sets. An a:b-coloring is a b-fold coloring out of a available colors.
The choosability (or list colorability or list chromatic number) ch(G) of a graph G is the least number k such that G is k-choosable. More generally, for a function f assigning a positive integer f ( v ) to each vertex v , a graph G is f -choosable (or f -list-colorable ) if it has a list coloring no matter how one assigns a list of f ( v ...
Colour by Numbers is the second album by the British new wave group Culture Club, released in October 1983. Preceded by the hit single "Karma Chameleon", which reached number one in several countries, the album reached number one in the UK and has sold 10 million copies. It has been certified triple platinum in the UK and quadruple platinum in ...
Every graph has a harmonious coloring, since it suffices to assign every vertex a distinct color; thus χ H (G) ≤ | V(G) |. There trivially exist graphs G with χ H (G) > χ(G) (where χ is the chromatic number); one example is any path of length > 2, which can be 2-colored but has no harmonious coloring with 2 colors. Some properties of χ H ...
In 1939, the system's approach was published in the Journal of Research of the National Bureau of Standards, and the ISCC formally approved the system, which consisted of a set of blocks within the color space defined by the Munsell color system as embodied by the Munsell Book of Color. Over the following decades, the ISCC–NBS system's ...
Pawn Stars is an American reality television series that premiered on History on July 19, 2009. The series is filmed in Las Vegas, Nevada, where it chronicles the activities at the World Famous Gold & Silver Pawn Shop, a 24-hour family business operated by patriarch Richard "Old Man" Harrison, his son Rick Harrison, Rick's son Corey "Big Hoss" Harrison, and Corey's childhood friend, Austin ...
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