- undirected path
-
In a directed graph, a path in which the edges are not all oriented in the same direction.
A path x→y←z is an undirected path.
Wikipedia foundation.
A path x→y←z is an undirected path.
Wikipedia foundation.
Path (graph theory) — In graph theory, a path in a graph is a sequence of vertices such that from each of its vertices there is an edge to the next vertex in the sequence. The first vertex is called the start vertex and the last vertex is called the end vertex . Both… … Wikipedia
directed path — noun In a directed graph, a path in which the edges are all oriented in the same direction. A path x rarr;y rarr;z is a directed path. Ant: undirected path … Wiktionary
Eulerian path — In graph theory, an Eulerian path is a path in a graph which visits each edge exactly once. Similarly, an Eulerian circuit is an Eulerian path which starts and ends on the same vertex. They were first discussed by Leonhard Euler while solving the … Wikipedia
Shortest path problem — A graph with 6 vertices and 7 edges In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. An example is… … Wikipedia
Hamiltonian path — This article is about the overall graph theory concept of a Hamiltonian path. For the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph, see Hamiltonian path problem. A Hamiltonian cycle in a dodecahedron … Wikipedia
Hamiltonian path problem — This article is about the specific problem of determining whether a Hamiltonian path or cycle exists in a given graph. For the general graph theory concepts, see Hamiltonian path. In the mathematical field of graph theory the Hamiltonian path… … Wikipedia
Induced path — An induced path of length four in a cube. Finding the longest induced path in a hypercube is known as the snake in the box problem. In the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced… … Wikipedia
Hamiltonian path — noun A path through an undirected graph which visits each vertex exactly once … Wiktionary
Tree (graph theory) — Trees A labeled tree with 6 vertices and 5 edges Vertices v Edges v 1 Chromatic number … Wikipedia
Cycle rank — In graph theory, the cycle rank of a directed graph is a digraph connectivity measure proposed first by Eggan and Büchi (Eggan 1963). Intuitively, this concept measures how close a digraph is to a directed acyclic graph (DAG), in the sense that a … Wikipedia