Construct · 2 fields · 2 citations

Where does crown collide?

One name. Different field. Different construct. One map.

● jingle · one word, two constructs Nearest construct by meaningbeingcompare the meanings
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Every construct on the map is compared with every other by the meaning of its definitions, and the closest one is surfaced here. The nearest construct to crown is being.

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crown2 CONSTRUCTSThe CrownMAITLAND · BODY POLITICCrown graphGLEN · CROWN GRAPH

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1901The Crown2018Crown graph
2026

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Constitutional law

The sovereign as a legal person

In constitutional law the Crown is the state itself as a legal person, the entity in whose name laws are made, prosecutions brought, and public property held, distinct from whoever wears the actual crown. Maitland, in The Crown as Corporation in the Law Quarterly Review, examines how English law personified the state, treating the Crown as a continuous body that never dies even as monarchs do, so that a debt or a duty survives the individual king. The referent is an abstract institution, the body politic, and its unit is a single legal personality that can own, sue, and be bound. It is not a metal circlet and not the private person of the monarch but the office and the state behind it. The word travels from a physical headdress to the whole apparatus of sovereign authority, a construct that exists only in law.[1]

Unit
The state as a single, continuous legal person
Recovery means
Not applicable
Measured by
Not measured; its extent is delimited by statute and case law

Graph theory

A bipartite graph minus a matching

In graph theory the crown graph is a specific structure: take the complete bipartite graph on two sets of n vertices, in which every vertex on one side joins every vertex on the other, then delete a perfect matching, removing the one edge that pairs each vertex with its counterpart. Glen, Kitaev, and Pyatkin, studying its representation number in Discrete Applied Mathematics, write it as the graph on vertices 1 to n and 1' to n' with an edge between i and j' exactly when i is not j. The referent is an abstract object defined purely by which vertices are adjacent, and its unit is that adjacency pattern, fixed once n is chosen. It carries the name crown from the look of its drawing, but nothing about it grows, chews, or governs. It is a formal object, true or false only of itself, with no referent in the world outside mathematics.[2]

Unit
An adjacency pattern on 2n vertices
Recovery means
Not applicable
Measured by
Not measured; properties such as chromatic number, independence number, and representation number are proved from the definition

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Nearby collisions

tree3 fields · 4 citationsjingle · one word, three constructsroot3 fields · 5 citationsjingle · one word, three constructs

References

  1. Maitland, F. W. (1901). The Crown as corporation. Law Quarterly Review, 17, 131–146.
  2. Glen, M., Kitaev, S., & Pyatkin, A. (2018). On the representation number of a crown graph. Discrete Applied Mathematics, 244, 89–93. https://doi.org/10.1016/j.dam.2018.03.013

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