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20222024
most citedLocal Computation Algorithms for Maximum Matching: New Lower Bounds

1 citations · 2 across the 5 of their papers we have counts for

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cs.DS2024

Approximating Maximum Matching Requires Almost Quadratic Time

Soheil Behnezhad, Mohammad Roghani, Aviad Rubinstein

We study algorithms for estimating the size of maximum matching. This problem has been subject to extensive research. For -vertex graphs, Bhattacharya, Kiss, and Saranurak [FOCS…

cs.DS2024

Bipartite Matching in Massive Graphs: A Tight Analysis of EDCS

Amir Azarmehr, Soheil Behnezhad, Mohammad Roghani

Maximum matching is one of the most fundamental combinatorial optimization problems with applications in various contexts such as balanced clustering, data mining, resource allocat…

cs.DS20231 cited

Local Computation Algorithms for Maximum Matching: New Lower Bounds

Soheil Behnezhad, Mohammad Roghani, Aviad Rubinstein

We study local computation algorithms (LCA) for maximum matching. An LCA does not return its output entirely, but reveals parts of it upon query. For matchings, each query is a ver…

cs.DS20231 cited

Fully Dynamic Matching: -Approximation in Polylog Update Time

Amir Azarmehr, Soheil Behnezhad, Mohammad Roghani

We study maximum matchings in fully dynamic graphs, which are graphs that undergo both edge insertions and deletions. Our focus is on algorithms that estimate the size of maximum m…

cs.DS2022

Beating Greedy Matching in Sublinear Time

Soheil Behnezhad, Mohammad Roghani, Aviad Rubinstein +1

We study sublinear time algorithms for estimating the size of maximum matching in graphs. Our main result is a -approximation algorithm which can be implemented…