To measure implicit relationships between two objects on the Wikipedia information network. The relationship is a more general concept than similarity, we discuss existing methods for measuring either relationships or similarities. A keyword has grown in this decade, while knowledge search has recently been researched to obtain knowledge of a single object and relationships between multiple objects, such as humans, places or events. Searching knowledge of objects using Wikipedia is one of the hottest topics in the field of knowledge search. In Wikipedia, the knowledge of an object is gathered in a single page updated constantly by a number of volunteers. Wikipedia also covers objects in a number of categories, such as people, science, geography, politic, and history. Therefore, the searching Wikipedia is usually a better choice for a user to obtain knowledge of a single object than typical search engines. A user also might desire to discover a relationship between two objects. For example, a user might desire to
know which countries are strongly related to petroleum, or to know why one country has a stronger relationship to petroleum than another country. Typical keyword search engines can neither measure nor explain the strength of a relationship. The three concepts, distance, connectivity, and cocitation, are important concepts for measuring relationships; cohesion-based methods underestimate popular objects, although popular objects might be important for relationships in Wikipedia. Therefore, a generalized maximum flow-based method which reflects all the three concepts and does not underestimates popular objects, in order to measure relationships on Wikipedia appropriately.