Draft:Lambda function (graph theory)
Submission declined on 24 March 2024 by KylieTastic (talk). This draft's references do not show that the subject qualifies for a Wikipedia article. In summary, the draft needs multiple published sources that are:
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- Comment: This title and this draft are purely promotional for junk research defining and renaming binomial coefficients, a concept that has been well known for millenia. —David Eppstein (talk) 22:43, 24 March 2024 (UTC)
In a generalised form of graph theory, the lambda function of a nonnegative integer , notated as or , is equal to the the exact number of links required so that there is not a single entity of entities that is not directly connected by a single link per connection to every other entity of entities. This means that it is equal to the number of edges in , the complete graph of vertices, in graph theory.
The lambda function was introduced in the 2024 generalised graph theory paper "The lambda function - computing required amounts of links to make every one of a number of entities directly linked to each other" by the mathematician Charles Ewan Milner.[1]
In his paper, Milner gives these formulas for values of the lambda function which are valid only when all the variables are nonnegative integers: , , and .
References[edit]
- ^ Milner, Charles Ewan. "The lambda function - computing required amounts of links to make every one of a number of entities directly linked to each other". ResearchGate.