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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) colors to ...
In graph theory, Brooks' theorem states a relationship between the maximum degree of a graph and its chromatic number. According to the theorem, in a connected graph in which every vertex has at most Δ neighbors, the vertices can be colored with only Δ colors, except for two cases, complete graphs and cycle graphs of odd length, which require ...
If the width field is omitted, the output is the minimum number of characters for the value. If the field is specified as *, then the width value is read from the list of values in the call. [18] For example, printf ("%*d", 3, 10) outputs 10 where the second parameter, 3, is the width (matches with *) and 10 is the value to serialize (matches ...
Hence, the number of steps is O(log m), where m is the number of edges. This is bounded by ( ()). A worst-case graph, in which the average number of steps is ( ()), is a graph made of n/2 connected components, each with 2 nodes. The degree of all nodes is 1, so each node is selected with probability 1/2, and with probability 1/4 both ...
In order to better enforce anti-spam policies, AOL does not disclose the number of recipients or emails that can be sent at one time. If you've received a notification that a limit has been met, you'll need to wait a set amount of time before you can send more emails. Most sending limit notifications inform you of how long you'll have to wait.
a perfect number equals the sum of its proper divisors; that is, s(n) = n; an abundant number is lesser than the sum of its proper divisors; that is, s(n) > n; a highly abundant number has a sum of positive divisors that is greater than any lesser number; that is, σ(n) > σ(m) for every positive integer m < n.
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Sorting a set of unlabelled weights by weight using only a balance scale requires a comparison sort algorithm. A comparison sort is a type of sorting algorithm that only reads the list elements through a single abstract comparison operation (often a "less than or equal to" operator or a three-way comparison) that determines which of two elements should occur first in the final sorted list.