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The effects of weak ties in social networks- a graph theoretic view

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We all know of the term "social network" in terms of social networking sites such as Facebook and Twitter. On these sites, people are able to communicate and form social connections with other users on the site. As people use these websites, patterns tend to emerge as users group together based on preexisting in-person relationships, as well as through newly-created relationships created during online interactions. While these websites certainly do have the characteristics of a social network, a social network need not be a website.

Social networks, in the most general sense, are ways to model connections between people. People, or actors, in the network are considered nodes (circles), and the connections between them, or edges (lines), represent ties that result from interaction or relationships. These networks may form from any social behavior, such as online communication, in-person communication, and even more abstract forms of connection, such as knowing of a person due to them being your relative.

Social networks are powerful tools that are used in both social sciences such as sociology and psychology, as well as in quantitative fields such as statistics and mathematics. Examining the structure of the network in general, such as density and the number of components, as well as examining individual nodes' contributions to the network through metrics such as centrality, can provide a lot of insight into complex social phenomena.

Now that we understand what a graph is, we can look into the types of connections in a graph. These can be grouped into absent ties, weak ties, and strong ties.

https://en.wikipedia.org/wiki/Interpersonal_ties

Absent ties, are, as the name suggests, connections that do not exist in a graph. So if Person A and Person B are not connected in a graph, the edge A - B is an absent tie.

Strong ties are at the other end of the spectrum. These are ties between people that are very interconnected with each other. In real-world terms, this could include your close family and friends whom you interact with on a daily basis. You probably have a lot in common with these people, and you most likely have many connections in common with them. Your strong connections most likely resemble a dense graph, seen below.

Finally, your weak ties are in between absent and strong ties. These are ties between people that know each other, but not particularly well. In real-world terms, these are the people that you interact with once a month, whom you probably do not see very often. You may not have much in common with your weak ties, and most of your weak ties will not know each other. Therefore, the graph of your weak ties most likely resembles a sparse graph, seen below.

We can observe this phenomenon in many situations, such as job hunting. The people in your immediate circle, such as co-workers on your team, have a limited range of connections. They may know many of the same people that you do, in a limited range of companies, in the same area as you. So, they may be of limited help when it comes to finding a new job. However, your weak connections, who are most likely in other geographic areas, job positions, and companies, have a much broader reach. They may be able to refer you to companies in other locations and to different positions. This could include distant family members, old friends, and people you went to school with in the past.

https://www.swiveltime.com/2013/08/your-network-of-cousins.html

Research has even shown that the majority of job help is from weak ties. This is primarily due to the simple fact that we have many more weak ties than we do strong ties. While individual weak ties may be weaker than individual strong ties, in the aggregate sense, our weak ties have been proven to be much more useful.

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We all know of the term "social network" in terms of social networking sites such as Facebook and Twitter. On these sites, people are able to communicate and form social connections with other users on the site.

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Lunchclub is an AI superconnector that makes introductions for 1:1 video meetings to advance your career

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An introvert's guide to networking | Rick Turoczy | TEDxPortland

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Building Connections: How to be a relationship Ninja

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Building Connections: How to be a relationship Ninja

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Building Connections: How to Be A Relationship Ninja | Rosan Auyeung-Chen | TEDxSFU

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ADDITIONAL READING MATERIALS FOR MODULE 1

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ADDITIONAL READING MATERIALS FOR MODULE 1

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Click on the links to watch/ read more:

1) TEDx talk: The positive power of networking by Carol Brill

2) HBR: Learn to love networking

3) HBR: Networking for introverts

4) HBR: How leaders create and use networks

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ADDITIONAL READING MATERIALS FOR MODULE 2

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ADDITIONAL READING MATERIALS FOR MODULE 2

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Click on the links to watch/ read more:
1)  6 things you must do before your next networking event

2) 12 memorable ways to introduce yourself at a networking event

3) The 5 best tricks to remember names

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ADDITIONAL READING MATERIALS FOR MODULE 3

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ADDITIONAL READING MATERIALS FOR MODULE 3

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Click on the links to watch/ read more:
1)  6 networking etiquette tips you must know
2) 12 rules of highly effective networkers
3) How to develop networking etiquette for business
4) 30 brilliant networking conversation starters
5) 3 polite ways to end that networking conversation
6) Networking tips for the nervous

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ADDITIONAL READING MATERIALS FOR MODULE 4

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ADDITIONAL READING MATERIALS FOR MODULE 4

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Click on the links to watch/ read more:
1)  Video: How to add value to your connections
2) 8 ways to become the person everyone wants to network with
3) The dos and don’ts of professional networking on social media
4) The 5 best ways to use social media to expand your network