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Bipartite graphs are widely used to capture the relationships between two types of entities. In bipartite graph analysis, finding the maximum balanced biclique (MBB) is an important problem with numerous applications. A biclique is balanced if its two disjoint vertex sets are of equal size. However, in real-world scenarios, each vertex is associated with a weight to denote its properties, such as influence, i.e., weighted bipartite graph. For weighted bipartite graphs, the previous studies for MBB are no longer applicable due to the ignorance of weight. To fill the gap, in this paper, we propose a reasonable definition of “balance” by restricting the weight difference between two sides of a biclique within $k$. Given a weighted bipartite graph $G$ and a constraint $k$, we aim to find the maximum $k$-balanced biclique (Max $k$ BB) with the maximum weight. To address the problem, we first propose an approach based on biclique enumeration on single side of $G$ following the Branch-and ....

Balanced Biclique , Iological System Modeling , Ipartite Graph , Electronic Commerce , Raph Algorithm , Heating Systems , Mage Edge Detection , Ocial Networking Online , Eighted Vertex ,