least one topological ordering, and algorithms are known for constructing a topological ordering of any DAG in linear time. Topological sorting has many...

find a topological ordering and then testing for each edge whether the resulting ordering is valid or alternatively, for some topological sorting algorithms...

acyclic graph, and an evaluation order may be found by topological sorting. Most topological sorting algorithms are also capable of detecting cycles in their...

postorderings are A C B D and A B C D. Reverse postordering produces a topological sorting of any directed acyclic graph. This ordering is also useful in control-flow...

reconstruction is the topological sorting of the association graph. The directed graph created in the previous step is topologically sorted to obtain the order...

always magically at your fingertips. And his algorithm also does topological sorting as a byproduct. Tarjan, R. E. (1972), "Depth-first search and linear...

policy. A major feature of APT is the way it calls dpkg — it does topological sorting of the list of packages to be installed or removed and calls dpkg...

theory Graph (abstract data type) Network theory Orientation Preorder Topological sorting Transpose graph Vertical constraint graph Zero-weight cycle problem...

Bellman–Ford algorithm A* algorithm Floyd–Warshall algorithm Topological sorting Pre-topological order Adjacency list Adjacency matrix Adjacency algebra –...

topological space, then it is customary to assume that { ( a , b ) : a ≤ b } {\displaystyle \{(a,b):a\leq b\}} is a closed subset of the topological product...

both kinds of tools have many commonalities: The dependency graph topological sorting used in a package manager to handle dependencies between binary components...

tsort: c a b c Free and open-source software portal Sort (Unix) Make (software) Topological sorting List of Unix commands Call graph "tsort". The Open...

edges can be tree edges. Many topological sorting algorithms will detect cycles too, since those are obstacles for topological order to exist. Also, if a...

property[citation needed]. This is usually achieved by topologically sorting expressions and updating values in topological order. This can, however, have performance...

number of satisfying assignments. Topologically sorting is easy in contrast to counting the number of topological sortings. A single perfect matching can...

Internal sorting 5.2.1. Sorting by insertion 5.2.2. Sorting by exchanging 5.2.3. Sorting by selection 5.2.4. Sorting by merging 5.2.5. Sorting by distribution...

necessarily avoiding crossings). 2.  Topological graph theory is the study of graph embeddings. 3.  Topological sorting is the algorithmic problem of arranging...

NetworkX Releases Version Release Date Major Changes 0.22 17 June 2005 Topological sorting for testing directed acyclic graphs (DAGs). Integration of Dijkstra's...

Kosaraju's algorithm in topological order and by Tarjan's algorithm in reverse topological order. For each component in the reverse topological order, if its variables...

this condensation is topologically sorted, then each weak component necessarily appears as a consecutive subsequence of the topological order of the strong...

characters tsort Performs a topological sort unexpand Converts spaces to tabs uniq Removes duplicate lines from a sorted file wc Prints the number of...

add it to the end of the sorted list Smoothgamersort Other Bitonic sorter Pancake sorting Spaghetti sort Topological sort Unknown class Samplesort Longest...

left out, the dependency graph is a directed acyclic graph. Then, any topological sort of this graph is a valid instruction schedule. The edges of the graph...

itself on a sphere with n cross-caps or on a sphere with n/2 handles. In topological graph theory there are several definitions of the genus of a group. Arthur...

weak topological mixing is one that has no non-constant continuous (with respect to the topology) eigenfunctions of the shift operator. Topological mixing...

found in Cherkassky, Goldberg & Radzik (1996). An algorithm using topological sorting can solve the single-source shortest path problem in time Θ(E + V)...

finite union of topological curves. When complex zeros are considered, one has a complex algebraic curve, which, from the topological point of view, is...

space, but may not be equivalent in other topological spaces. One such generalization is that a topological space is sequentially compact if every infinite...

are also key building blocks for many efficient algorithms, such as topological sort and set union-find. A linked list is a collection of structures ordered...

extension principle is constructively provable for finite sets using topological sorting algorithms, where the partial order is represented by a directed...