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.

Apr 1, 2025 · A loop of an graph is degenerate edge that joins a vertex to itself, also called a self-loop. A simple graph cannot contain any loops, but a pseudograph can contain both multiple …

Oct 21, 2015 · A loop is commonly defined as an edge (or directed edge in the case of a digraph) with both ends as the same vertex. (For example from a a to itself). Although loops are cycles, …

A graph with no loops and no multiple edges is a simple graph. A graph with no loops, but possibly with multiple edges is a multigraph. The condensation of a multigraph is the simple …

An ordered pair of vertices is called a directed edge. If we allow multi-sets of edges, i.e. multiple edges between two vertices, we obtain a multigraph. A self-loop or loop is an edge between a …

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.

Problems related to the coloring of maps of regions, such as maps of parts of the world, have generated many results in graph theory. When a map is colored, two regions with a common …

Appearance move to sidebarhide From Simple English Wikipedia, the free encyclopedia Graphwith a loop on vertex 1. In graph theory, a loopis an edge that connects a vertex to itself. …

In the study of graphs, a loop is an edge that connects a vertex back to itself. Considered a cycle of length one, loops originate from the concept that a cycle in graph theory is identified as a …

Apr 10, 2025 · The link between graph theory and physics dates back centuries. Euler’s famous problem on the Königsberg bridge (1736), though it may seem like a simple puzzle today, …