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20092026
most citedUnifying and Strengthening Hardness for Dynamic Problems via the Online Matrix-Vector Multiplication Conjecture

215 citations · 689 across the 60 of their papers we have counts for

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Showing 2015Show all

6 papers · 1 filter

cs.DS2015★ 31 cited

Decremental Single-Source Shortest Paths on Undirected Graphs in Near-Linear Total Update Time

Monika Henzinger, Sebastian Krinninger, Danupon Nanongkai

In the decremental single-source shortest paths (SSSP) problem we want to maintain the distances between a given source node and every other node in an -node -edge graph…

cs.DS2015★ 3 cited

Sublinear-Time Maintenance of Breadth-First Spanning Trees in Partially Dynamic Networks

Monika Henzinger, Sebastian Krinninger, Danupon Nanongkai

We study the problem of maintaining a breadth-first spanning tree (BFS tree) in partially dynamic distributed networks modeling a sequence of either failures or additions of commun…

cs.DS2015★ 215 cited

Unifying and Strengthening Hardness for Dynamic Problems via the Online Matrix-Vector Multiplication Conjecture

Monika Henzinger, Sebastian Krinninger, Danupon Nanongkai +1

Consider the following Online Boolean Matrix-Vector Multiplication problem: We are given an matrix and will receive column-vectors of size , denoted by $v_1,…

cs.DS2015★ 30 cited

Sublinear-Time Decremental Algorithms for Single-Source Reachability and Shortest Paths on Directed Graphs

Monika Henzinger, Sebastian Krinninger, Danupon Nanongkai

We consider dynamic algorithms for maintaining Single-Source Reachability (SSR) and approximate Single-Source Shortest Paths (SSSP) on -node -edge directed graphs under edge…

cs.DC2015★ 83 cited

A Deterministic Almost-Tight Distributed Algorithm for Approximating Single-Source Shortest Paths

Monika Henzinger, Sebastian Krinninger, Danupon Nanongkai

We present a deterministic -approximation -time algorithm for solving the single-source shortest paths problem on distributed weighted networks…

cs.DS2015★ 4 cited

Space- and Time-Efficient Algorithm for Maintaining Dense Subgraphs on One-Pass Dynamic Streams

Sayan Bhattacharya, Monika Henzinger, Danupon Nanongkai +1

While in many graph mining applications it is crucial to handle a stream of updates efficiently in terms of {\em both} time and space, not much was known about achieving such type…