Document Type

Working Paper

Publication Date

Spring 4-3-2019

Abstract

Finding the densest subgraph in a bi-partite graph is a polynomial time problem. Also, each bi-partite graph has a densest connected subgraph. In this paper, we first prove that each bi-partite graph has a densest connected subgraph. This proof is different than that of an undirected graph, since our definition of the density is different. We then provide a max-flow min-cut algorithm for finding a densest subgraph of a bi-partite graph and prove te correctness of this binary search algorithm.

Comments

These proofs are a part of a paper in progress

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