The dynamic topological order problem is that of efficiently updating a topological order after an edge insertion. This can be solved using a standard topological sort algorithm in O(v+e+b) time, for a batch of b edge insertions. However, this always traverses the entire graph when processing a batch of insertions, even if only a few edges are added. Dynamic topological order algorithms traverse only those regions of the graph where the ordering is actually affected by the new edges — usually much less than the whole graph. While these outperform the standard topological sort on relatively small insertion batches, they have a sub-optimal worst-case bound of O(b(v+ e)). We present, for the first time, a dynamic algorithm with an optimal O(v+...
Dynamic graph algorithms maintain a certain property (e.g., connectivity) of a graph that changes dy...
Finding a topological ordering for a directed graph is one of the fundamental problems in computer s...
Compilers usually construct various data structures which often vary only slightly from compilation ...
The dynamic topological order problem is that of efficiently updating a topological order after some...
We consider the problem of maintaining the topological order of a directed acyclic graph (DAG) in th...
A topological order of the vertices of a directed acyclic graph G = (V,E) is any total order ord suc...
We present a simple algorithm which maintains the topological order of a directed acyclic graph with...
Abstract. We present a simple algorithm which maintains the topological order of a directed acyclic ...
AbstractMany applications like pointer analysis and incremental compilation require maintaining a to...
Many applications like pointer analysis and incremental compilation require maintaining a topologica...
Topological orders of a directed graph are an important concept of graph algorithms. The generation ...
It is shown that the problem of maintaining the topological order of the nodes of a directed acyclic...
AbstractKatriel and Bodlaender [Irit Katriel, Hans L. Bodlaender, Online topological ordering, ACM T...
We present two online algorithms for maintaining a topological order of a directed acyclic graph as ...
ALEXNEX11: Workshop on Algorithm Engineering & Experiments, San Francisco, California, USA. 22 Janua...
Dynamic graph algorithms maintain a certain property (e.g., connectivity) of a graph that changes dy...
Finding a topological ordering for a directed graph is one of the fundamental problems in computer s...
Compilers usually construct various data structures which often vary only slightly from compilation ...
The dynamic topological order problem is that of efficiently updating a topological order after some...
We consider the problem of maintaining the topological order of a directed acyclic graph (DAG) in th...
A topological order of the vertices of a directed acyclic graph G = (V,E) is any total order ord suc...
We present a simple algorithm which maintains the topological order of a directed acyclic graph with...
Abstract. We present a simple algorithm which maintains the topological order of a directed acyclic ...
AbstractMany applications like pointer analysis and incremental compilation require maintaining a to...
Many applications like pointer analysis and incremental compilation require maintaining a topologica...
Topological orders of a directed graph are an important concept of graph algorithms. The generation ...
It is shown that the problem of maintaining the topological order of the nodes of a directed acyclic...
AbstractKatriel and Bodlaender [Irit Katriel, Hans L. Bodlaender, Online topological ordering, ACM T...
We present two online algorithms for maintaining a topological order of a directed acyclic graph as ...
ALEXNEX11: Workshop on Algorithm Engineering & Experiments, San Francisco, California, USA. 22 Janua...
Dynamic graph algorithms maintain a certain property (e.g., connectivity) of a graph that changes dy...
Finding a topological ordering for a directed graph is one of the fundamental problems in computer s...
Compilers usually construct various data structures which often vary only slightly from compilation ...