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Space Lower Bounds for Graph Stream Problems

  • Paritosh VermaEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11436)

Abstract

This work concerns with proving space lower bounds for graph problems in streaming model. It is known that the single source shortest path problem in streaming model requires \(\varOmega (n)\) space, where \(|V|=n\). In the first part of the paper we try find whether the same lower bound hold for a similar problem defined on trees. We prove lower bounds for single and multi pass version of the problem.

We then apply the ideas used in above lower bound results to prove space lower bounds (single and multipass) for other graph problems like finding min s-t cut, detecting negative weight cycle and finding whether two nodes lie in the same strongly connected component.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Birla Institute of Technology & Science, PilaniPilaniIndia

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