Yes, the 3-coloring problem is considered to be NP-complete.
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Adjacent Range
the magnetic field around the adjacent pairs of wire
One example of a graph coloring problem is the map coloring problem, where you have a map of regions that need to be colored in such a way that no two adjacent regions share the same color. For instance, consider a map with four regions: A, B, C, and D. If A and B are adjacent, they cannot be the same color. One possible solution could be to color region A red, region B blue, region C green, and region D yellow. This way, no adjacent regions share the same color, satisfying the graph coloring constraint.
To find the maximum sum by selecting non-adjacent elements from a list of numbers, you can use dynamic programming. Start by creating an array to store the maximum sum up to each element. Iterate through the list of numbers and for each element, calculate the maximum sum by either including the current element or excluding it. Keep track of the maximum sum achieved so far. At the end of the iteration, the final element in the array will contain the maximum sum that can be achieved by selecting non-adjacent elements.
Width of the space between two adjacent panels is called the Gap and the alignment of these panel is also known as Flushness.