Abstract

The Ramsey number is a foundational result in combinatorics. This article will introduce Ramsey number with the method of graph theory, and the Ramsey pricing theory is applied to the sales price and study of cross subsidy. Based on the status of our sales price and cross subsidy, Ramsey pricing methods theoretically guide adjustment thoughts of sales price and solve the practical problems in our life.

Highlights

  • The Background of Ramsey NumberThe definition of Ramsey number was first proposed by the British mathematician Ramsey in 1928

  • Since 1930, a large number of scholars made a thorough study of the Ramsey number, but the exact value of the Ramsey number having been developed by people remains low

  • In order to better solve the problem of sales price cross-subsidies, we can apply the Ramsey pricing theory to determine the level of sales price of classified users

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Summary

The Background of Ramsey Number

The definition of Ramsey number was first proposed by the British mathematician Ramsey in 1928. Since 1930, a large number of scholars made a thorough study of the Ramsey number, but the exact value of the Ramsey number having been developed by people remains low It is described in any discrete structure, as long as the “structure” is sufficiently large, there must be a particular sub-section. G the degree of vertex v and dG ( v ) refers to the number of edges where G is associated with v and in the graph G maximum and minimum of vertices are denoted as. Supposed that E ′ is non-void set of E , the sub-graph is composed of vertex set that is based on E ′ as a edge set and the endpoint of E ′ as vertex set, and it is called sub-graph exported by E ′ of G , which is described as G [ E ′].

The Introduction of Ramsey Problem
The Basic Theory of Ramsey Number
The Introduction of the Sales Price Cross-Subsidies Problem
The Purpose and Significance of the Sales Price Cross-Subsidies
The Study of the Sales Price Cross-Subsidies
The Ramsey Pricing Method
The Analysis of the Ramsey Pricing Method
Conclusions
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