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

05/26/2023

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by   Xiuge Chen, et al.

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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) where m,n is the number of edges, vertices respectively. Each of the three graph parameters we consider can have size Ω(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.