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WikiCards · Card list · Science cards · Algebraic connectivity
Common card · Science
Algebraic connectivity, a Common card
The algebraic connectivity of a graph G is the second-smallest eigenvalue of the Laplacian matrix of G. This eigenvalue is greater than 0 if and only if G is a connected graph.
- Rarity
- Common
- Domain
- Science
- ATK
- 54
- DEF
- 33
- Power
- 87
- Wikipedia reads a year
- 12,000
Power 87 (ATK + DEF): stronger than 30 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- This is a corollary to the fact that the number of times 0 appears as an eigenvalue in the Laplacian is the number of connected components in the graph.
- The magnitude of this value reflects how well connected the overall graph is.
- It has been used in analyzing the robustness and synchronizability of networks.
Why it is Common
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Algebraic connectivity article was read about 12,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 54 and blocks with 33: each hit it takes is cut by 13 %.
How to get Algebraic connectivity
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Credits
Text : Wikipedia, Algebraic connectivity (revision), CC BY-SA 4.0. Photo : AzaToth, Public domain, Wikimedia Commons.
