2014年10月24日星期五

Social Network Anylysis With Mathematics

It seems that social network has no difference with other web sites. However, we can study the deep mathematical principle in it, which will make a great contribution to the promotion of marketing.


We regard network just as a graph. There are nodes, which are connected to form edges. In a social network, each individual is a node, people are connected to each other in accordance with friend relationship. 

Each node has ? edges. The more edges, the greater connectivity. Just like the more friends you have, the greater influence you have. For example, we issued a free trial sample to consumer. If the consumer feels satisfied, he will buy it, and recommend to his friends. As the manufacturer, we certainly hope that the samples are distributed to more influential people, because they will be passed on to more nodes, which will bring more potential customers. We know that graph includes directed graph and undirected graph. The difference between them is whether the links between nodes are bidirectional. Facebook and Renren are undirected graphs: If you are my friend, I am your friend. However, Twitter and Sina Weibo are directed graphs: I follow some people, and there are also people follow me. This is a relationship from one node to another node, not reversible.


For example, Zhao Te is followed by many people on blog, then there are many nodes pointing to him, who is on a high in-degree centrality. However, in-degree high node is not always the most valuable. Another example, an article has a high in-degree. A lot of people have quoted this paper.This article may cover a valuable question to research, but it may make ​​obvious mistakes so that everyone having read the research paper will say: "Go for a look of this article, the author is so funny!"



9 条评论:

  1. Guess you are really good at mathematics.Your blog is really good. You explained all the difficult concepts clear and understandable.The best part is the examples you used here,really clever.Tell me,what should I write in my blog......

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  2. I have read your passage carefully,I found it really useful to me .Can we have a brief communication later on your passage?Many thanks.

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  3. I noticed that you have mentioned that graph includes directed graph and undirected graph. The difference between them is whether the links between nodes are bidirectional.May be we can talk about it.

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  4. I just learned something about directed graphs and undirected ones a few days ago, and got a good application example here in your blog which enhanced my understanding about the use of graph in Social Analysis and other aspects.

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  5. The professor told things about the Social Network Anylysis, and you explain it with the help of Mathematics, I think you must have good understanding of math and social network, could you eaplain more about it with me? thanks very much.

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  6. I have to say both of your mathematic and understanding about SNA is adept.

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  7. Just saw your comment, sorry for late reply.The node with most in- degree does not necessarily means most powerful, it is exactly what I learnt from other sources, but what you pointed that from a unique aspect, which I never thought before, many thanks. Besides, these complex factors makes SNA a really sophisticated topic to discuss, we always need to interpret data from different prospectives, don't you think?

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  8. SNA is so complicated and many researches on this is hard to learn, and there are many different factors on this.Your example is quite funny and is clear for me to understand those mathematics~

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  9. Thank you for provide more the evaluation on the relationship between the nodes. It would be better to providing more explanation for them.

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