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- research-articleJuly 2020Honorable Mention
A Unified Sparsification Approach for Matching Problems in Graphs of Bounded Neighborhood Independence
SPAA '20: Proceedings of the 32nd ACM Symposium on Parallelism in Algorithms and ArchitecturesPages 395–406https://doi.org/10.1145/3350755.3400248The neighborhood independence number of a graph G, denoted by β = β(G), is the size of the largest independent set in the neighborhood of any vertex. Graphs with bounded neighborhood independence, already for constant β, constitute a wide family of ...
- research-articleSeptember 2019
Fully Dynamic Graph Algorithms Inspired by Distributed Computing: Deterministic Maximal Matching and Edge Coloring in Sublinear Update-Time
ACM Journal of Experimental Algorithmics (JEA), Volume 24Article No.: 1.14, Pages 1–24https://doi.org/10.1145/3338529We study dynamic graphs in the fully dynamic centralized setting. In this setting, the vertex set of size n of a graph G is fixed, and the edge set changes step-by-step, such that each step either adds or removes an edge. Dynamic graphs have various ...