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On some fine-grained questions in algorithms and complexity
VV Williams - Proceedings of the international congress of …, 2018 - World Scientific
In recent years, a new “fine-grained” theory of computational hardness has been developed,
based on “fine-grained reductions” that focus on exact running times for problems …
based on “fine-grained reductions” that focus on exact running times for problems …
Recent advances in fully dynamic graph algorithms–a quick reference guide
In recent years, significant advances have been made in the design and analysis of fully
dynamic algorithms. However, these theoretical results have received very little attention …
dynamic algorithms. However, these theoretical results have received very little attention …
Dynamic matching with better-than-2 approximation in polylogarithmic update time
We present dynamic algorithms with polylogarithmic update time for estimating the size of
the maximum matching of a graph undergoing edge insertions and deletions with …
the maximum matching of a graph undergoing edge insertions and deletions with …
Breaking the cubic barrier for all-pairs max-flow: Gomory-hu tree in nearly quadratic time
In 1961, Gomory and Hu showed that the All-Pairs Max-Flow problem of computing the max-
flow between all n\2 pairs of vertices in an undirected graph can be solved using only n-1 …
flow between all n\2 pairs of vertices in an undirected graph can be solved using only n-1 …
Dynamic dynamic time war**
Abstract The Dynamic Time War** (DTW) distance is a popular similarity measure for
polygonal curves (ie, sequences of points). It finds many theoretical and practical …
polygonal curves (ie, sequences of points). It finds many theoretical and practical …
Rounding dynamic matchings against an adaptive adversary
D Wajc - Proceedings of the 52nd Annual ACM SIGACT …, 2020 - dl.acm.org
We present a new dynamic matching sparsification scheme. From this scheme we derive a
framework for dynamically rounding fractional matchings against adaptive adversaries …
framework for dynamically rounding fractional matchings against adaptive adversaries …
Near-optimal fully dynamic densest subgraph
S Sawlani, J Wang - Proceedings of the 52nd Annual ACM SIGACT …, 2020 - dl.acm.org
We give the first fully dynamic algorithm which maintains a (1− є)-approximate densest
subgraph in worst-case time poly (log n, є− 1) per update. Dense subgraph discovery is an …
subgraph in worst-case time poly (log n, є− 1) per update. Dense subgraph discovery is an …
Fast dynamic cuts, distances and effective resistances via vertex sparsifiers
We present a general framework of designing efficient dynamic approximate algorithms for
optimization problems on undirected graphs. In particular, we develop a technique that …
optimization problems on undirected graphs. In particular, we develop a technique that …
Tree edit distance cannot be computed in strongly subcubic time (unless APSP can)
The edit distance between two rooted ordered trees with n nodes labeled from an alphabet
Ʃ is the minimum cost of transforming one tree into the other by a sequence of elementary …
Ʃ is the minimum cost of transforming one tree into the other by a sequence of elementary …
Fredman's Trick Meets Dominance Product: Fine-Grained Complexity of Unweighted APSP, 3SUM Counting, and More
In this paper we carefully combine Fredman's trick [SICOMP'76] and Matoušek's approach
for dominance product [IPL'91] to obtain powerful results in fine-grained complexity. Under …
for dominance product [IPL'91] to obtain powerful results in fine-grained complexity. Under …