Sorting in data structure refers to the process of arranging data in a particular order. Sorting algorithms are used to rearrange a given array or list of elements according to a comparison operator on the elements. The comparison operator is used to decide the new order of elements in the respective data structure. Sorting is important because it reduces the complexity of a problem and makes searching easier. There are various types of sorting algorithms used in data structures, including:

• Insertion Sort: This algorithm sorts an array by repeatedly inserting a new element into a sorted sublist until the whole list is sorted.

• Selection Sort: This algorithm sorts an array by repeatedly finding the minimum element from the unsorted part of the array and putting it at the beginning of the sorted part.

• Bubble Sort: This algorithm sorts an array by repeatedly swapping adjacent elements if they are in the wrong order.

• Quick Sort: This algorithm sorts an array by partitioning it into two sub-arrays, one with elements smaller than a chosen pivot element, and one with elements larger than the pivot, and then recursively sorting the sub-arrays.

• Heap Sort: This algorithm sorts an array by first building a heap data structure from the array, and then repeatedly extracting the maximum element from the heap and putting it at the end of the sorted array.

• Merge Sort: This algorithm sorts an array by dividing it into two halves, sorting each half recursively, and then merging the two sorted halves into a single sorted array.

Sorting in data structure is important because it reduces the complexity of a problem and makes searching easier. It also provides users with several benefits, such as simplifying complications like min/max, kth smallest/largest, and providing algorithmic solutions like divide and conquer, iterative, and recursive-based.