# Graphing social networks

When I’m meeting a random bunch of people I like to graph out social networks in terms of who knew whom before the meeting happened. For example, I was meeting some friends yesterday – B was in town, and wanted to meet people. He called A and C, who got along D (also known to B). After this meeting B was supposed to meet E, but E landed up anyhow. Based on who knew whom before the meeting this is how the network topology went. People are represented by vertices and if there’s an edge between them that means they know each other.

So it started with A and B meeting, with C supposed to land up in a while. Now, C knows A and B through two different “affiliation groups”, but knows both quite well. So C lands up, but now the question is what do you talk about. The basic structure of the group – where A-B, B-C and C-A know each other through three separate affiliation groups means you can’t talk about people (thankfully!).

Anyway conversation goes on, and then D lands up. When B asked C if they could meet, he said “I’m not in touch with anyone else here in Bangalore. But if you think there’s someone else from our affiliation group who’s here and wants to meet, bring them along”. Thus, C invites D (whom he hasn’t met for ages) and D lands up.

Now, for the first time,  the group is not a clique – since A and D don’t know each other. It’s up to B and C now to control the conversation in a way that A or D don’t get bored. People talk about work, careers and all that – where anyone can give gyaan.

After a while, E lands up. Now, E doesn’t know anyone else in the group (apart from B). So now, B becomes a cut-vertex. B starts talking to E. With B and E taken out, in the A-C-D network, C is now a cut-vertex! So it’s up to C to manage the conversation with A and D! C isn’t particularly good at that!

Soon A leaves. Now, the group effectively splits, while sitting at the same table. B talks to E (no one else knows E), and C talks to D. All is well.

The problem with the group was that none of the “connectors” (B, C) were particularly good at connecting people, and keeping one conversation. This, though, wasn’t the case at a drinks session I attended on Monday evening. There, the social network at the beginning of the conversation looked like this (variables here all mean different people, only I was common to both meetings):

The thin lines here indicate that B-F and E-F had met before, but didn’t know each other well enough. As you can see, A is now the cut-vertex here. The difference, though, is that A is a master networker, and has a self-professed interest in “collecting interesting people”. The group for the meeting was also fully curated by A – no one “brought along” anyone else.

So A ensured that the conversation flowed. He made sure people connected, and there was great conversation. At the end of the day the network was a clique!

I’ve never been good at making these connections. I dread gathering where I’m the cut-vertex – forever afraid that someone might be left out. Connecting and collecting people is surely a skill I need to develop!

PS: At a coffee shop in Mumbai eight summers ago, I was at one end of the social network which looked like this. Don’t ask me how it came about!