Orkut has become a craze eversince it was introduced. It has amazing properties. You can find almost anyone who has access to internet connection and lot of time to spare logged on to it.
Ever wondered why Orkut says You are connected to 19,584,711 people through 66 friends ??
Say, you are connected to 50 friends. Those 50 friends may have 50 friends each. Some of them even have 300 friends!! so u are already connected on an average to 50+50*50+... Hence the huge number. Now this was stating the obvious. This is technically called a network. Being a friends' network, its a social network. I know Im still stating the obvious :-D But do you know studying networks is an intense field of research !! Every year people publish 1000's of technical papers in this field!! So in the network language, the individual is the node and the links or the edges are the connections between the individuals.
Now, have you ever noticed that most of the profiles you visit, even if its a stranger's, turns out to be connected to your profile through 3,4,6,7 or 8 links. For instance, A > aa > bb > cc > dd > X. Most of the times A turns out to be connected to X through a bb (say) who has 300 friends. Now this is technically called the Six Degrees of Separation. (You must have also seen a documentary on TV by this name.) The concept is that one can always find a connection to anybody in the world via six steps on an average!! In the given example , A is connected to X via 5 steps. In real world, I am connected to our learned president APJK in 5 steps !! So the degree of separation is 5. Now, try this with anyone in the world and Im sure you can find some connection or other !!! Technically, such networks with short pathlengths are called small world networks. Yupp, it is indeed a small world. Its just not a simple say-so but a fact..
Do you see the possibilities!! I am connected to ShahRukh or Zulfi through 6 degrees :-D All I have to do is to find the intermediate connections !! Hmm hard work ahead ...
Such short pathlengths are seen in many other networks. You see any system.. you find a network there. Examples galore - Capillary network inside your body, Airport network, Road network, power-grid network, rail network. Internet is also a network!! In the earlier A--> X example, suppose bb breaks up with aa, your network breaks. bb is called a hub. Exactly this way, if a power station, which supplies to N smaller station fails, you will face a breakdown. US blackouts were caused due to a similar reason. So, hubs are the most prone to attacks and are the backbones of the network. So you see, this field has immense potential in terms of applications. Many fields of study are employed in researching this topic like Statistical Mechanics, Graph Theory.. He he I know.. we physicists are experts in converting any interesting topic to mundane mathematics :-D
Ever wondered why Orkut says You are connected to 19,584,711 people through 66 friends ??
Say, you are connected to 50 friends. Those 50 friends may have 50 friends each. Some of them even have 300 friends!! so u are already connected on an average to 50+50*50+... Hence the huge number. Now this was stating the obvious. This is technically called a network. Being a friends' network, its a social network. I know Im still stating the obvious :-D But do you know studying networks is an intense field of research !! Every year people publish 1000's of technical papers in this field!! So in the network language, the individual is the node and the links or the edges are the connections between the individuals.
Now, have you ever noticed that most of the profiles you visit, even if its a stranger's, turns out to be connected to your profile through 3,4,6,7 or 8 links. For instance, A > aa > bb > cc > dd > X. Most of the times A turns out to be connected to X through a bb (say) who has 300 friends. Now this is technically called the Six Degrees of Separation. (You must have also seen a documentary on TV by this name.) The concept is that one can always find a connection to anybody in the world via six steps on an average!! In the given example , A is connected to X via 5 steps. In real world, I am connected to our learned president APJK in 5 steps !! So the degree of separation is 5. Now, try this with anyone in the world and Im sure you can find some connection or other !!! Technically, such networks with short pathlengths are called small world networks. Yupp, it is indeed a small world. Its just not a simple say-so but a fact..
Do you see the possibilities!! I am connected to ShahRukh or Zulfi through 6 degrees :-D All I have to do is to find the intermediate connections !! Hmm hard work ahead ...
Such short pathlengths are seen in many other networks. You see any system.. you find a network there. Examples galore - Capillary network inside your body, Airport network, Road network, power-grid network, rail network. Internet is also a network!! In the earlier A--> X example, suppose bb breaks up with aa, your network breaks. bb is called a hub. Exactly this way, if a power station, which supplies to N smaller station fails, you will face a breakdown. US blackouts were caused due to a similar reason. So, hubs are the most prone to attacks and are the backbones of the network. So you see, this field has immense potential in terms of applications. Many fields of study are employed in researching this topic like Statistical Mechanics, Graph Theory.. He he I know.. we physicists are experts in converting any interesting topic to mundane mathematics :-D





















