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Abstract: We define a graph-based rate optimization problem and consider its computation, which provides a unified approach to the computation of various theoretical limits, including the (conditional ...

Abstract: Graph algorithms play a pivotal role in solving allocation problems, which are fundamental across diverse domains such as transportation, telecommunications, supply chain management, and ...

Graph theory examines mathematical structures in which objects are represented as vertices connected by edges. It provides the language and tools to model networks in computer science, biology, social ...

Extremal graph theory seeks the largest or smallest structure a graph can exhibit under given constraints, typically by forbidding a particular subgraph. The classical Turán problem determines the ...

Graph theory is an integral component of algorithm design that underlies sparse matrices, relational databases, and networks. Improving the performance of graph algorithms has direct implications to ...

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TITLE: A New Proof on the Bipartite Turán Number of Bipartite Graphs ...