What is the handshake theorem What does the way the handshake represents

The handshake theorem, there are n people shaking hands, each person shakes hands x times, and the total number of handshakes is s = n x 2.

The handshake theorem is also known as the fundamental theorem of graph theory, and the degree of vertices in a graph is one of the most basic concepts in graph theory.

Example: In a banquet, there are 10 guests, and each guest shakes hands twice at the banquet, how many times do you shake hands in total?

Solution: According to the total number of handshakes s= nx 2, s=10 Note: The number of handshakes per person is a total of how many times a person shakes hands with others in the handshake, because the handshake is two-way, A and B shake hands, and it is also said that B is shaking hands with A, if the simple calculation is 10 * 2 = 20 times, and the handshake is due to two-way repetition, the actual number of handshakes needs to be divided by 2.

The handshake theorem is also known as the fundamental theorem of graph theory, and the degree of vertices in a graph is one of the most basic concepts in graph theory. Definition Let g = be an undirected graph, v v, and call v as the degree of the sum of the number of endpoints of the edge as v, referred to as degrees, denoted as dg(v), and abbreviated as d(v) when there is no confusionLet d = be a directed graph, v v, and call v as the sum of the number of starts of the edge as the out degree of v, which is denoted as (v) and abbreviated as d+(v)

The sum of the end times of v as an edge is the degree of v, which is denoted as (v), abbreviated as d-(v), and d+(v)+d-(v) is the degree of v, which is denoted as d(v).Corollary of the Handshake Theorem In any graph (undirected or directed), the number of singularity vertices is an even number.

The handshake theorem, there are n people shaking hands, each person shakes hands x times, and the total number of handshakes is s = n x 2.

Give examples of inferences. Example: In a banquet, there are 10 guests, each guest is at the banquet twice, how many times do you shake hands at the banquet?

Solution: According to the total number of handshakes s= nx 2, s=10 Note: The number of handshakes per person is a total of how many times a person shakes hands with others in the handshake, because the handshake is two-way, A and B shake hands, and it is also said that B is shaking hands with A, if the simple calculation is 10 * 2 = 20 times, and the handshake is due to two-way repetition, the actual number of handshakes needs to be divided by 2.

The handshake theorem is a discrete math in which the sum of the degrees of each vertex is equal to twice the number of vertices minus one, and is also equal to twice the number of edges.

That is, there are n people shaking hands, and each person shakes hands x times. I say the total number of times is s, which is equal to nx 2.

The sum of the degrees of each vertex = 2 (n-1) n is the number of vertices.

In physical electricity? Is it the right-hand spiral theorem?

The handshake theorem? Ampere's responsibility? Right-handed accountability?

The handshake theorem, there are n people shaking hands, each person shakes hands x times, and the total number of handshakes is s = n x 2.

The number of handshakes per person is a total of how many times a person shakes hands with others in the handshake, because the handshake is two-way, A and B shake hands, and it is also said that B is shaking hands with A, if the simple calculation is 10 * 2 = 20 times, and the handshake is due to two-way repetition, the actual number of handshakes needs to be divided by 2.

Handshake theorem: If there are n people shaking hands, the sum of the number of handshakes must be s 2 (n + 1). Degrees of vertices and the handshake theorem --1 Degrees of vertices Definition Let g= be an undirected graph, v v, and call v as the degree of the sum of the number of endpoints of the edge as v, referred to as degrees, denoted as dg(v), and abbreviated as d(v) when there is no confusion

Let d = be a directed graph, v v, and call v as the sum of the number of starts of the edge as the out degree of v, which is denoted as (v) and abbreviated as d+(v)The sum of the end times of v as an edge is the degree of v, which is denoted as (v), abbreviated as d-(v), and d+(v)+d-(v) is the degree of v, which is denoted as d(v).2 Handshake Theorem Handshake Theorem) Let g= be an arbitrary undirected graph, v=, |e|=m, then ??

Degree sum = 2m Each edge (including the ring) in g has two endpoints, so when calculating the sum of the degrees of each vertex in g, each edge provides 2 degrees, and of course, m edges, provide a total of 2m degrees. Theorem handshake theorem) Let d= be an arbitrary directed graph, v=, |e|=m, then ??The sum of degrees = 2m, and the degree of out = degree of entry = m

?The proof of this theorem is similar to the theorem Corollary of the Handshake Theorem In any graph (undirected or directed), the number of singularity vertices is an even number. Prove that g= is any graph, so that ??

v1= ??v2= then v1 v2=v, v1 v2=, which can be known from the handshake theorem2m==+ Since 2m, both are even, it is even, but because the number of vertices in v1 is odd, it is |v1|Must be even.

The handshake theorem is also known as the fundamental theorem of graph theory, and the degree of vertices in a graph is one of the most basic concepts in graph theory.

Just like drinking in circles, starting from one, the eldest and everyone drink as (n-1), the second child starts toasting from the third child until the old N is recorded as (n-2), the third child starts from the fourth child to the old N is recorded as (n-3), and finally the old (n-1) is recorded as 1, and the end is the sum of natural numbers from 1 to (n-1).

1+n-1）×（n-1）÷2

Handshake theorem: If there are n people shaking hands, the sum of the number of handshakes must be s 2 (n + 1). The handshake theorem is also known as the fundamental theorem of graph theory, and the degree of vertices in a graph is one of the most basic concepts in graph theory.

Summary. If a person is accustomed to holding the other person's hand with both hands, it means that he is obedient to the other person, but he still hopes that there will be some room for discussion. In addition, such a handshake gesture also indicates that the person is honest and open to communication.

However, if the person is putting his other hand on the other person's hand today, it represents a pattern of self-defense that lacks confidence in the other person.

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The way handshakes are held represents different meanings and can show different personality traits.

Like what. 1.Hold one hand with both hands.

If a person is accustomed to holding the other person's hand with both hands, it means that he is obedient to the other person, but he still hopes that there will be some room for discussion. In addition, such a handshake gesture also indicates that the person is honest and open to communication. However, if the person is putting his other hand on the other person's hand today, it represents a pattern of self-defense that lacks confidence in the other person.

2.Dominant handshake.

If the person is shaking hands with their hands on yours and their palms facing down, it means that the person is in the dominant position, and it is usually a common handshake for the boss or someone of higher social class.

3.A submissive handshake.

When shaking hands, the palm-up side indicates that he is in a submissive position, and this type of person is generally timid, unconfident, and easily dominated by others.

4.Dead fish handshake.

When a person shakes hands, his hands are as weak as a dead fish, which means that the person is less trustworthy and apathetic, and he is easily submissive. But in some cultures, such as in Africa, a gentle handshake is a polite greeting, and shaking too hard can be seen as offensive.

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The handshake theorem is bold, there are n people shaking hands, each person shakes hands x times, and the total number of handshakes is s = n x 2.

The number of handshakes per person is a total of how many times a person shakes hands with others, because the handshake is two-way, A and B shake hands, but also that B is shaking hands with A, if the simple calculation is 10 * 2 = 20 times, and the handshake is due to two-way repetition, the actual number of handshakes needs to be divided by 2.

The formula for the handshake problem is: Assuming there are x people, the total number of handshakes = x(x-1) 2.

Explanation of the formula: Assuming that there are x people, then everyone has to shake hands with (x-1) individuals other than themselves, then the total number of handshakes is x(x-1);

But in these x(x-1) handshakes, each handshake is double-counted, so if you divide it by 2, then the number of x handshakes is x(x-1) 2.

Extended Materials. The handshake problem belongs to junior high school mathematics, and the significance of this problem lies in the fact that through observation, conjecture, analogy and induction, the law of shaking the missing hand has been developed. Moreover, this method of the first law also reflects the mathematical idea that hail is very important in mathematics from special to general.

The handshake formula has a very wide range of applications, such as counting the number of triangles to the second day of the first month or finding the number of diagonal lines of a polygon; to the third year of junior high school to talk about the one-dimensional quadratic equation; Even permutations and combinations in high school use the handshake formula.