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In graph theory, the degree–diameter problem asks for the maximum possible number n d , k {\displaystyle n_{d,k}} of vertices in a finite simple undirected graph of maximum degree at most d {\displaystyle d} and diameter at most k {\displaystyle k} . A breadth-first search gives a general upper bound known as the Moore bound.
The analysis highlights Bounds and constructions, Asymptotic behaviour and Relation to the degree–girth problem as prominent areas in the source structure around Degree diameter problem.
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displaystyle diameter degree moore graph bound graphs fixed known problem every maximum vertices cycles attaining exact two possible finite upper
TTTA extracted structured relationships around Degree diameter problem. The table shows each extracted connection, where it came from and its confidence.
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The concept neighborhoods around Degree diameter problem bring nearby vocabulary together. In this analysis, examples include Diameter, Problem and Graph. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Degree diameter problem, one of the stronger structural bridges in this analysis connects Degree diameter problem with Overview. 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 Degree diameter problem to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Bounds and constructions, Asymptotic behaviour & Relation to the degree–girth problem, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Degree diameter problem · EN edition · Analysis: TopicsToTalkAbout