Objectives: To determine the significance of each object (node) in a graph, researchers often employ link analysis techniques, such as the Hyperlink- Induced Topic Search (HITS) algorithm. This will be performed for several reasons, including analyzing the confidentiality of social networks and optimizing search results based on the hierarchical nature of the Internet’s interconnections. Methods: This work proposes a new version of HITS called the Boundary grading HITS method (BG-HITS). We offer a technique for calculating edge weights that uses just the graph’s hub and authority parameters but considers the significance of each edge, its associated relationships and associations, and other relevant qualities such as whether or not they are ”organization”. Findings: Experiments on both simulated and realworld web-graph data demonstrate conclusively that our suggested method, when combined with edge weighting, may mitigate the effects of superfluous edges and nodes on the analysis, yielding more favourable and objective results than the previous HITS approach. Novelty: HITS is a method for doing link analysis that treats all edges the same in every calculation, much like nearly all other link analysis algorithms. The novelty of the proposed work is, the value of edges in practice varies from case to case and is influenced by the connections and associations between the two terminals. This has been resolved in the proposed approach. Keywords: Graph; HyperlinkInduced Topic Search (HITS); Link Analysis; Edge Weight Analysis; Recommendation Model; Points of Interest (POI)