[PDF][PDF] New graph decompositions and combinatorial boolean matrix multiplication algorithms

A Abboud, N Fischer, Z Kelley, S Lovett… - Proceedings of the 56th …, 2024 - dl.acm.org
We revisit the fundamental Boolean Matrix Multiplication (BMM) problem. With the invention
of algebraic fast matrix multiplication over 50 years ago, it also became known that BMM can …

Tight dynamic problem lower bounds from generalized BMM and OMv

C Jin, Y Xu - Proceedings of the 54th Annual ACM SIGACT …, 2022 - dl.acm.org
Popular fine-grained hypotheses have been successful in proving conditional lower bounds
for many dynamic problems. Two of the most widely applicable hypotheses in this context …

Faster Combinatorial k-Clique Algorithms

A Abboud, N Fischer, Y Shechter - Latin American Symposium on …, 2024 - Springer
Detecting if a graph contains ak-Clique is one of the most fundamental problems in
computer science. The asymptotically fastest algorithm runs in time O (n ω k/3), where ω is …

Indexing for Keyword Search with Structured Constraints

S Lu, Y Tao - Proceedings of the 42nd ACM SIGMOD-SIGACT-SIGAI …, 2023 - dl.acm.org
Keyword search, which finds the documents containing all the keywords supplied by a user,
has proved to be an effective approach for querying non-structured information that does not …

Searching for the closest-pair in a query translate

J Xue, Y Li, S Rahul, R Janardan - arXiv preprint arXiv:1807.09498, 2018 - arxiv.org
We consider a range-search variant of the closest-pair problem. Let $\varGamma $ be a
fixed shape in the plane. We are interested in storing a given set of $ n $ points in the plane …

Optimized Closest Pair Computation with CPU-GPU Combined Model

P Auradkar, GR Gagan, S Deva, N Eedula… - ICT Analysis and …, 2022 - Springer
Spatial data processing had been a dominant contributor in a wide assortment of
applications including health care, urban planning and infrastructure designing. As the …

Closest-pair queries and minimum-weight queries are equivalent for squares

A Kazi, M Smid - Computational Geometry, 2022 - Elsevier
Let S be a set of n weighted points in the plane and let R be a query range in the plane. In
the range closest pair problem, we want to report the closest pair in the set R∩ S. In the …