Construct · 1 fields · 1 citations

degree: a standalone construct

One name. One construct. A landmark on the map.

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degree1 CONSTRUCTVertex degreeEULER · VERTEX DEGREE

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Graph theory

Edges meeting at a vertex

In graph theory, the degree of a vertex is the number of edges that meet at that point: a vertex joined to three others has degree three, and the degrees of all the points constrain what shapes the network can take. Euler's 1736 Solutio problematis ad geometriam situs pertinentis, the study of the seven bridges of Königsberg, turned each landmass into a point and each bridge into a link, and showed that whether the bridges can all be walked once depends on how many meet at each point. The referent is a whole number counting connections at a node, not a qualification from a university, a note's position in a scale, or a mark on a thermometer.[1]

Unit
A whole-number count of the edges meeting at one vertex
Recovery means
Not applicable
Measured by
Read off a graph by counting the edges incident to a vertex, or summed across all vertices as the degree sequence of the network

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Nearby constructs

order4 fields · 6 citationsjingle · one word, four constructsscale3 fields · 3 citationsjingle · one word, three constructspower6 fields · 13 citationsjingle · one name, six constructs

References

  1. Euler, L. (1736). Solutio problematis ad geometriam situs pertinentis. Commentarii Academiae Scientiarum Imperialis Petropolitanae, 8, 128–140.

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