To measure the global influence of the fashion items, we use the edge-weighted PageRank algorithm. This measure is based on PageRank, which was originally developed by Google to rank the importance of web pages based on their link structure. In our case, we leverage PageRank to evaluate the global influence of the item-item co-purchase network on fashion items. We can compute this measure for co-purchase network of items where each node is an item and two nodes are connected by an edge if they are purchased/glanced/clicked by the same customer. This network provides information on “customer who purchased item “A” also purchased item “B”. An item’s global importance can be quantified based on its position in the co-purchase network (more popular items are likely to receive more links from other items in the form of co-purchases).

PageRank is based on the assumption that customers "surf" the co-purchase network randomly. It assumes that consumers will follow any edge from an item with equal probability or jump to a randomly chosen item with a damping factor of (1-a). This factor determines the probability of a customer interacting with the current item or moving to a different item in the network. The algorithm distributes an item's PageRank evenly among its successors in the network. An item with a high PageRank can either have many items pointing to it or have a few highly ranked items pointing to it in the form of co-purchase links. 

We interpret PageRank as a measure of network-induced attention, which is the probability that a random surfer will arrive at a hyperlinked page if they only traverse the hyperlinks of the network. Thus, a fashion item with a higher PageRank is more likely to receive attention from the network than an item with a lower PageRank. Consequently, the PageRank of a fashion item assesses the customer attention that an item would receive if all of its demand came exclusively from customers traversing the co-purchase network. We use this measure to evaluate the influence of the co-purchase network on fashion items. 
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