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In graph theory, a branch of mathematics, a crown graph on 2n vertices is an undirected graph with two sets of vertices {u1, u2, …, un} and {v1, v2, …, vn} and with an edge from ui to vj whenever i ≠ j.
The analysis highlights Applications and Measurement as prominent areas in the source structure around Crown graph.
Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.
Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
The extracted context around Crown graph shows recurring relationship patterns in the source. For example, Crown graph → Crown, For, Fürer, Hamiltonian, In, Jn, Johnson, Johnson’s, The, This Another extracted example is Crown graph → An, Archdeacon, Crown, Euclidean, However, Its, The, This. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
crown graph graphs number mr edges doi vertices 10 complete mathematics bipartite one two 2n coloring cycles may unit example
TTTA extracted 34 structured relationships around Crown graph. Examples in this analysis include Crown graph → Chromatic number → { 1 n = 1 2 otherwise {\displaystyle \left\{{\begin{array}{ll}1&n=1\\2&{\text{otherwise}}\end{array}}\right.} and Crown graph → Diameter → { ∞ n ≤ 2 3 otherwise {\displaystyle \left\{{\begin{array}{ll}\infty &n\leq 2\\3&{\text{otherwise}}\end{array}}\right.}. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Crown graph | Chromatic number | { 1 n = 1 2 otherwise {\displaystyle \left\{{\begin{array}{ll}1&n=1\\2&{\text{otherwise}}\end{array}}\right.} | 1.00 | infobox |
| Crown graph | Diameter | { ∞ n ≤ 2 3 otherwise {\displaystyle \left\{{\begin{array}{ll}\infty &n\leq 2\\3&{\text{otherwise}}\end{array}}\right.} | 1.00 | infobox |
| Crown graph | Edges | n(n − 1) | 1.00 | infobox |
| Crown graph | Girth | { ∞ n ≤ 2 6 n = 3 4 otherwise {\displaystyle \left\{{\begin{array}{ll}\infty &n\leq 2\\6&n=3\\4&{\text{otherwise}}\end{array}}\right.} | 1.00 | infobox |
| Crown graph | Notation | S n 0 {\displaystyle S_{n}^{0}} | 1.00 | infobox |
| Crown graph | Properties | Distance-transitive | 1.00 | infobox |
| Crown graph | Radius | { ∞ n ≤ 2 3 otherwise {\displaystyle \left\{{\begin{array}{ll}\infty &n\leq 2\\3&{\text{otherwise}}\end{array}}\right.} | 1.00 | infobox |
| Crown graph | Vertices | 2n | 1.00 | infobox |
| Crown graph | is a | pronic number n | 0.90 | text |
| Crown graph | is a | Cartesian product of complete graphs K2 | 0.90 | text |
| Crown graph | has application | In | 0.60 | section |
| Crown graph | has application | The | 0.60 | section |
The concept neighborhoods around Crown graph bring nearby vocabulary together. In this analysis, examples include Crown, Graph and Graphs. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Crown graph, one of the stronger structural bridges in this analysis connects Crown graph with Bibliography. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.
TTTA analyzes the structure around Crown graph to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications & Measurement, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Crown graph · EN edition · Analysis: TopicsToTalkAbout