A fast algorithm for optimally increasing the edge|connectivity

A Fast Algorithm for Moderating Critical Nodes via Edge Removal

• OPTIMUM: find an optimal edge set of size k using brute- force ... Van Leeuwen, “Diameter increase caused by edge deletion,” Journal of Graph ...

A Fast Algorithm for Cactus Representations of Minimum Cuts

We consider an undirected network with n vertices and m edges, where edges are weighted by ... Martel, A fast algorithm for optimally increasing the edge.

Augmenting Edge Connectivity via Isolating Cuts - NSF PAR

... connectivity literature, leading to many algorithms with progressively faster ... A fast algorithm for optimally increasing the edge connectivity. SIAM J ...

A fast approximate method for k-edge connected component ...

To overcome the problems mentioned above, we propose a k-core-based maximal merging (KCMM) algorithm using a decomposition framework to improve the performance ...

Why use Dijkstra's Algorithm if Breadth First Search (BFS) can do the ...

If you will consider the same distance between all nodes, then BFS is the better choice. For example, consider A -> (B, C) -> (F) with edge ...

Researchers develop fastest possible flow algorithm - ScienceDaily

And as the network became larger and more complex, the required computing time increased ... optimally fast algorithms as "almost-linear ...

Graph Connectivity Augmentation - András Frank

A fast algorithm for optimally increasing the edge connectivity. SIAM J. Comput., 26(4) (1997), 1139–1165. C5955–C0014.tex. 341. 2015/9/30. 10:52am. Page 30 ...

Need an efficient algorithm to visit all nodes of a graph, revisiting ...

Is sounds like you want to generate a spanning tree of the graph, this is most commonly done with a depth-first or breadth-first search.

Researchers achieve 'absurdly fast' algorithm for network flow

... algorithms, or algorithms which are trying to find optimal solutions ... improve the runtime of solving task X with the new flow algorithm?

If Dijkstra's algorithm is greedy, does it always find the optimal ...

That's why we can rest assured that Dijkstra's algorithm would always find the single source shortest paths in a simple graph with positive edge ...

Graph Algorithm To Find All Connections Between Two Arbitrary ...

... an efficient way to look up the adjacent vertices (line 6). 1 PathList [p] 2 ListOfPathLists [x] 3 Vertex [s], [d] 4 PathFind ( Vertex [c] ...

MET: A Fast Algorithm for Minimizing Propagation in Large Graphs ...

That leaves us with modifying the former (e.g., by remov- ing nodes and/or edges from the graph in order to reduce the graph's connectivity). In this work, we ...

How to find max flow in a graph after decrementing an edge capacity?

If the capacity of edge c(e′)≥f(e′)+1 i.e. the max flow remains the same, there is no chance max flow increase, as it would increased ...

Graph connectivity and its augmentation: applications of MA orderings

algorithm INCREASE optimally augments G into G∗ k so that the output G∗ k ... JordNan, A near optimal algorithm for vertex connectivity augmentation, in: Proc.

Fast Distributed Algorithms for Connectivity and MST in Large Graphs

Our main result is an (almost) optimal distributed randomized algorithm for graph connectivity. Our algorithm runs in ˜O(n/k2) rounds ( ˜O notation hides a ...

A Fast Algorithm for Finding an Optimal Ordering - ProQuest

A set of new "fill-ins" produced by Gaussian elimination on a matrix $A$ is characterized by a triangulation induced by vertex elimination on a graph associated ...

Computing the 4-Edge-Connected Components of a Graph - DROPS

Gusfield, and C. Martel. A fast algorithm for optimally increasing the edge connectivity. SIAM Journal on Computing, 26(4):1139-1165, 1997.

Graph Search Algorithms - Stanford Computer Science

◎ Which algorithm was fastest? ◎ Which explored ... "Best of both worlds": optimal and fast. Dijkstra. Explores in increasing order of cost, optimal but slow.

A faster algorithm for computing the principal sequence of partitions ...

Every successive pair si, si+1 in the sequence con- sists of the maximal and minimal optimal partition for some. (unique) value of λ. The resulting increasing ...

Index-Based Optimal Algorithm for Computing K-Cores in Large ...

To conquer the second challenge, we propose a top-down strategy. For each vertex u, we arrange the neighbors of u in a non-increasing order of their core.