heltregulær

Heltregulær is a term used in mathematics, specifically in the field of graph theory, to describe a type of graph. A graph is considered heltregulær if every vertex (node) in the graph has the same degree. The degree of a vertex is the number of edges (lines) connected to it. In other words, in a heltregulær graph, each vertex is connected to the same number of other vertices.

Heltregulær graphs are a special case of regular graphs, where the degree is not necessarily the same for all vertices. The term "heltregulær" translates to "completely regular" in English, emphasizing the uniformity of the vertex degrees.

These graphs have several interesting properties and applications. For example, they often appear in the study of symmetric structures and are used in various areas of mathematics and computer science, such as coding theory and network design. One well-known example of a heltregulær graph is the complete graph, where every pair of distinct vertices is connected by a unique edge.

In summary, heltregulær graphs are a specific type of graph where all vertices have the same degree, making them a useful and well-studied concept in graph theory.