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In the real world but specially in Internet, Consequently, From a mathematical standpoint , arc or also edge. linkThe traditional representation of a graph consists of a set of points representing the nodes, linked by lines that bind the nodes that hold a relationship. Nevertheless, when the number of nodes begins to become An alternative representation that, despite the fact that it's relatively unknown, appears to be very useful is the
For our purposes So what we are actually painting is a boolean matrix of connectivity, also called and this allows us to visualise one to one, one to many and many to one links in a very simple way.
Obviously the matrix paradigm can be extended beyond the adjacency matrix by The matrix layout To be more systematic, the ## Advantages**Absence of occlusion**amongst nodes, you can always read their label. Â**No crossing of links**, enabling you to easily identify the origin and end of a link. Â**EasyÂ identification of the absence of connections**. Â**It systematically outperforms graphs in several tasks**like counting nodes, finding links, etc. when the number of nodes is bigger than 20.
## Inconveniences- For the same level of detail
**a bigger space is required**compared to traditional graphs. Â - For
**small networks (<20 nodes, 20-30 links) the graph is more effective**. Â - Greater
**difficulty to follow paths**(for example form node A to B through C) Â **Lack of familiarity**, it's a much less known and intuitive paradigm.
J. Bertin, who sadly passed away just a few weeks ago, had already introduced in his book Semiologie Graphique the reordenable matrix. Effectively, being able to In some ways what Bertin came to say is that the matrix provides us with a valid representation, but what makes it usable is choosing an appropriate ordering of rows and columns. Particularly you can detect **Cliques**All the members of a clique are completely interconnected. They are associated with very cohesive social groups. Â**Communities**, where the members are connected in a less cohesive way; not all of them should be interconnected among each other. Â- Individual
**Actors** Â **Influences**and relations between the previous elements.
Nevertheless the permutation of rows and columns |
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