May 11, 2024

The Magic of Six Degrees: Researchers Prove There Are Just Six Degrees of Separation in a Social Network

This letter was one of about 300 identical packages sent with similar directions. The 300 independent letters started flowing across the United States in pursuit of a social path linking “Joe” from the farmlands of middle America with the scholastic hub of the East Coast. Not all letters made it through, but the ones that did tape-recorded, for the very first time experimentally, the familiar social paths– a good friend of a good friend of a friend — that link American society.
Quite remarkably, the paths were discovered to be very short. In a society of numerous millions of people, the experiment found that it just takes about 6 handshakes to bridge in between two random people. Indeed, Milgrams experiment validated what much of us pick up intuitively, that we reside in a little world, divided by a mere six degrees of separation.
The couple of letters that really did, showed up through 6 steps on average. His findings, however, were reaffirmed in a series of more systematic research studies: for example, the millions of users of Facebook are on typical five to 6 clicks apart from one another. 6 degrees kept coming up.
Social networks of significantly various scales and contexts tend to include incredibly short pathways. And most notably, they appear to universally favor the magic number of 6. Why?
A recent paper in Physical Review X, by partners from Israel, Spain, Italy, Russia, Slovenia, and Chile, reveals that basic human behavior– weighing the costs and advantages of social ties– might discover the roots of this intriguing phenomenon.
Think about individuals in a social network. Naturally, they want to gain prominence by browsing the network and looking for strategic ties.
Naturally, such midpoint in the network, while using exceptionally valuable social capital, does not come free of charge. Relationship has a cost. It requires continuous maintenance.
As an outcome, the research study reveals, socials media, whether on or offline, are a dynamic beehive of people constantly playing the cost-benefit video game, severing connections on the one hand, and developing brand-new ones on the other. Its a continuous buzz driven by the ambition for social midpoint. At the end, when this tug-of-war reaches an equilibrium, all people have protected their position in the network, a position that finest balances in between their drive for prominence and their minimal spending plan for brand-new friendships.
” When we did the mathematics,” says Prof. Baruch Barzel, one of the papers lead authors, “we discovered a fantastic outcome: this procedure constantly ends with social courses focused around the number 6. This is rather surprising. We need to understand that each individual in the network acts independently, with no understanding or objective about the network as a whole. But still, this self-driven game forms the structure of the entire network. It causes the small world phenomenon, and to the recurring pattern of six degrees,” adds Prof. Barzel.
The short courses identifying socials media are not merely an interest. They are a defining function of the networks habits. Our capability to spread information, ideas, and fads that sweep through society is deeply ingrained in the reality that it only requires a couple of hops to connect in between apparently unrelated people.
Obviously, not only do ideas spread through social connections. Infections and other pathogens use them, too. The grave consequences of this social connectedness were seen firsthand with the rapid spread of the COVID pandemic that showed to us all the power of 6 degrees. Within 6 infection cycles, a virus can cross the globe.
” But on the benefit,” includes Prof. Barzel, “this cooperation is a terrific example of how 6 degrees can play in our favor. How else would a team from six nations worldwide come together? This is really 6 degrees in action!”
Reference: “Why Are There Six Degrees of Separation in a Social Network?” by I. Samoylenko, D. Aleja, E. Primo, K. Alfaro-Bittner, E. Vasilyeva, K. Kovalenko, D. Musatov, A. M. Raigorodskii, R. Criado, M. Romance, D. Papo, M. Perc, B. Barzel and S. Boccaletti, 31 May 2023, Physical Review X.DOI: 10.1103/ PhysRevX.13.021032.
This study was supported by grants from the Israel Science Foundation (Grant No. 499/19), the Israel-China ISF-NSFC joint research study program, and the Bar-Ilan University Data Science Institute.

Milgrams experiment validated what many of us notice intuitively, that we live in a little world, divided by a mere six degrees of separation.
Six degrees kept coming up.
It leads to the small world phenomenon, and to the recurring pattern of six degrees,” includes Prof. Barzel.
The serious repercussions of this social connectedness were witnessed firsthand with the fast spread of the COVID pandemic that showed to us all the power of six degrees.” But on the advantage,” includes Prof. Barzel, “this cooperation is a terrific example of how six degrees can play in our favor.

Researchers have mathematically discussed the “6 degrees of separation” phenomenon, showing that individuals in a network go for strategic connections, stabilizing expenses and advantages of these ties. The original experiment by Stanley Milgram in 1967 revealed that in the vast American society, it took just around 6 connections to connect 2 random people, a finding that has considering that been reaffirmed through various research studies.
Scientists from Bar-Ilan University show there are simply 6 degrees of separation in a social media network.
Weve all dived into this idea experiment, marveling at the concept that in the huge web of mankind, random individuals can be linked through extremely little chains of associates– usually, around six. The intriguing phenomenon, they reveal, is linked to another social experience we all know too well– the battle of cost vs. benefit in developing new social ties.
In 1967, a farmer in Omaha, Nebraska got a peculiar letter in his mail box. The sender was Prof. Stanley Milgram, of Harvard University, and the desired recipient was among his peers. “If you occur to understand this individual,” the message read, “please forward this letter to him.”
Naturally, the chances of such a direct acquaintance across such a huge social and geographical range– from Boston to Omaha– were extremely slim, and therefore, the letter even more asked for that if the recipient didnt know the intended addressee, they ought to forward the letter to someone who might.