English

Sublinear-Space Streaming Algorithms for Estimating Graph Parameters on Sparse Graphs

Data Structures and Algorithms 2023-05-29 v1 Databases

Abstract

In this paper, we design sub-linear space streaming algorithms for estimating three fundamental parameters -- maximum independent set, minimum dominating set and maximum matching -- on sparse graph classes, i.e., graphs which satisfy m=O(n)m=O(n) where m,nm,n is the number of edges, vertices respectively. Each of the three graph parameters we consider can have size Ω(n)\Omega(n) even on sparse graph classes, and hence for sublinear-space algorithms we are restricted to parameter estimation instead of attempting to find a solution.

Keywords

Cite

@article{arxiv.2305.16815,
  title  = {Sublinear-Space Streaming Algorithms for Estimating Graph Parameters on Sparse Graphs},
  author = {Xiuge Chen and Rajesh Chitnis and Patrick Eades and Anthony Wirth},
  journal= {arXiv preprint arXiv:2305.16815},
  year   = {2023}
}
R2 v1 2026-06-28T10:47:23.858Z