Mogic considers

The combination should not explode.

Graph problems found in information engineering are often applied to organizations.

An organization is a group of people, and 10 people are more informative than 2.

As the number of people increases, the number of connections automatically increases, and as connections are made, information is exchanged, so the overall volume of information increases rapidly.

This is probably one of the reasons why some people seem to have a different temperature when there are many people in the room.

So, what kind of increase in the amount of information is there depending on the number of people?

The number is called the combinatorial explosion of the network, so let me quote a few words from that.

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Combination Explosion
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In a computer network, the number of communication paths required increases rapidly as nodes are added. This is called a combinatorial explosion. In reality, however, the increase is not exponential, but strictly polynomial at best.

When two nodes need to communicate with each other, they can be directly connected by one appropriate one-to-one communication path. However, when a third node is added, three communication paths are needed: six for four nodes, ten for five nodes, fifteen for six nodes, and so on. Generalizing this, the number of communication paths l at n nodes increases on the order of the square of n, as follows

l = n(n-1)/2
l = n(n-1)/2

If we calculate the amount of information in terms of the number of people in the organization, l

l = 1 for 2 people
5 people, l = 10
10 people, l = 45
25 people, l = 300
50 people l = 1,225
100 for l = 4,950

The curve starts sharply at roughly the 15th person.

Therefore, when the number of employees exceeds 10, a method called "organization" is introduced.

We have organized the workforce by position, divided it into departments, defined job descriptions, created standardized flows, developed work rules, held company-wide presentations, and so on.

Well, when there is too much information to process, there is more uncertainty, so it is easier to create problems, speed slows down, profit margins drop, retirements increase, and so naturally you have to do something about it, which equals tinkering with the organization.

Perhaps the creation of KPI goals for each department is one mechanism to control this information explosion.

Hmmm...now that I've sorted all this out, I'm wondering what an "information explosion" really is.

Can't we make the information explosion operable instead of treating it as a bad thing like a higher order infinite set?

Just because there is a lot of information, is it okay to keep only the important information and cut out the rest?

Is it sufficient to simply introduce customary "organizational methods" just because the number of people has increased?

And now, going back to the premise of the combinatorial explosion, it is interesting to note that the nodes (people) and nodes are all equivalently connected.

If people were not equally connected and could be graded (concentrated) well, it would slow down the information explosion, and so on.

Once again, I bring you the rest of the quote from earlier.
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One way to reduce this is to put a generic means of mediating information at the center, in which case the number of communication channels need only be equal to the number of nodes n. The drawback in this case, however, is,

1: One-to-one communication may be possible without any specific procedures, such as telephone or teletype, but to support intermediary means, it is necessary to introduce some communication protocols, such as TCP/IP or SMTP, because it is necessary to control the route based on the destination attached to the communication contents.

2: If the central means of mediation fails or underperforms, all communications are affected.

Because of the disadvantages of 2:, actual designs do not always need to reduce the number of communication paths, but often build complex systems with a certain amount of redundancy.
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Yes, you can come up with many ways of doing things with just one way of thinking.

This year is the year of the Noon, so I would like to raise my gaze and think about the nature of activities in which people come together.

We look forward to your continued patronage as we begin the new year with a lighthearted spirit.