Edge (graph theory)

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  • Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...
  • Thumbnail for Directed graph
    specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs...
  • Thumbnail for Graph (discrete mathematics)
    In discrete mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects...
  • Thumbnail for Connectivity (graph theory)
    connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the...
  • the mathematical discipline of graph theory, a matching or independent edge set in an undirected graph is a set of edges without common vertices. In other...
  • Thumbnail for Graph theory
    mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...
  • Thumbnail for Vertex (graph theory)
    specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set...
  • Thumbnail for Multiple edges
    In graph theory, multiple edges (also called parallel edges or a multi-edge), are, in an undirected graph, two or more edges that are incident to the...
  • Thumbnail for Path (graph theory)
    In graph theory, a path in a graph is a finite or infinite sequence of edges which joins a sequence of vertices which, by most definitions, are all distinct...
  • Thumbnail for Bipartite graph
    In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets...
  • Thumbnail for Random graph
    The theory of random graphs lies at the intersection between graph theory and probability theory. From a mathematical perspective, random graphs are used...
  • Thumbnail for Cycle (graph theory)
    In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is...
  • discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G. L(G) is...
  • Thumbnail for Component (graph theory)
    In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph...
  • Thumbnail for Loop (graph theory)
    In graph theory, a loop (also called a self-loop or a buckle) is an edge that connects a vertex to itself. A simple graph contains no loops. Depending...
  • Thumbnail for Directed acyclic graph
    In mathematics, particularly graph theory, and computer science, a directed acyclic graph (DAG) is a directed graph with no directed cycles. That is, it...
  • Thumbnail for Petersen graph
    mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful...
  • Thumbnail for Bridge (graph theory)
    In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. Equivalently...
  • Thumbnail for Degree (graph theory)
    In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes...
  • Thumbnail for Geometric graph theory
    Geometric graph theory in the broader sense is a large and amorphous subfield of graph theory, concerned with graphs defined by geometric means. In a stricter...
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