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WikiCards · Card list · Science cards · Cayley's formula
Uncommon card · Science
Cayley's formula, an Uncommon card
In mathematics, Cayley's formula is a result in graph theory named after Arthur Cayley.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 45
- DEF
- 22
- Power
- 67
- Wikipedia reads a year
- 18,000
Power 67 (ATK + DEF): stronger than 10 % of WikiCards cards.
Cayley's formula quiz: 3 questions
Three questions on the Cayley's formula card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The formula equivalently counts the ______ trees of a complete graph with labeled vertices.
Answer
spanning. The formula equivalently counts the spanning trees of a complete graph with labeled vertices. From the Cayley's formula article on Wikipedia.
Which of these Wikipedia articles is read the most in a year?
Answer
Bang–bang control. Bang–bang control 33,000 · Cayley's formula 18,000 · Louis Camille Maillard 13,000 · Dry distillation 9,800 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- It states that for every positive integer n, the number of trees on n labeled vertices is n n − 2.
- The formula equivalently counts the spanning trees of a complete graph with labeled vertices.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Cayley's formula article was read about 18,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 45 and blocks with 22: each hit it takes is cut by 9 %.
How to get Cayley's formula
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
More Science cards
Cards close in power
The cards just above and just below Cayley's formula in the power ranking, all domains together.
- HeterocongrinaeUncommon · Nature · ATK 39 DEF 28
- Apurímac RiverUncommon · Nature · ATK 46 DEF 21
- LeapfrogUncommon · Science · ATK 46 DEF 21
- Chichagof IslandUncommon · Nature · ATK 48 DEF 19
- 2029 United States gubernatorial electionsUncommon · Society · ATK 45 DEF 22
- Punchbowl CraterUncommon · Nature · ATK 46 DEF 21
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Cayley's formula (revision), CC BY-SA 4.0. Photo : Júlio Reis, CC BY-SA 3.0, Wikimedia Commons.
