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Batch dynamic algorithms for two graph problems
1994We provide a new paradigm to treat insertion and deletion of a batch of edges in a graph, that makes use of the sparsification technique developed for on-line algorithms. In particular, we refer to the problems of minimal spanning forest (MSF), connected components (CC) and k-vertex-connectivity (k-VC).
FERRAGINA, PAOLO, LUCCIO, FABRIZIO
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Graph Algorithms for Dynamical Systems
2006This article is concerned with the numerical analysis of dynamical systems using methods that are based on a discretized description of the system as a graph. The graph-based description provides a unifying framework to approach a wide and diverse variety of dynamical systems, from time-discrete maps via ordinary differential equations to stochastic ...
Michael Dellnitz +4 more
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Recent Advances in Fully Dynamic Graph Algorithms – A Quick Reference Guide
Journal of Experimental Algorithmics, 2022Christian Schulz +2 more
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A Fully Dynamic Graph Algorithm for Recognizing Proper Interval Graphs
2009We present a fully dynamic graph algorithm to recognize proper interval graphs that runs in O (logn ) worst case time per edge update, where n is the number of vertices in the graph. The algorithm also maintains the connected components and supports connectivity queries in O (logn ) time.
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Sublinear update time randomized algorithms for dynamic graph regression
Applied Mathematics and Computation, 2021Mostafa Haghir Chehreghani
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Randomized fully dynamic graph algorithms with polylogarithmic time per operation
Journal of the ACM, 1999Monika Henzinger, Valerie KING
exaly

