Monday, 21 July 2025

Euro 2025 - Semifinals Network Graphs

As suggested (https://fulltimesportsfan.wordpress.com/2025/07/14/euro-2025-quarterfinal-network-diagrams/), the sheer number of Spanish and Italian players playing for Barcelona and Italy respectively did distort the graph. 

It's also distorting the semifinal graphs which are much narrower and elongated than usual. Non-labelled version of the network graph. The large red circles stand for each national team. One of them is separated at the top, with very few connections to the other three. Two more are in the middle and then the fourth team is at the bottom. The shape is an elongated diamond with curved edges. The team at the top has a pale red circle at its top left, a club team. There is another pale red circle at the top right of the leftmost one of the two national teams in the middle. There is one link from it to the national team at the top. Similarly, the national team at the bottom has one of the larger pale red circles coming off it, bottom middle. The same graph as before, but labelled. The large red circles stand for each national team. One of them, Italy, is separated at the top, with very few connections to the other three. Two more are in the middle (Germany left and England right) and then the fourth team, Spain, is at the bottom. The shape is an elongated diamond with curved edges. The team at the top, Italy, has a pale red circle at its top left, a club team. It is Juventus. There is another pale red circle at the top right of Germany, it is Bayern Munich. There is one link from it to the national team at the top, as one Italian player plays for Bayern. Similarly, Spain have a large pale red circles coming off it, bottom middle. It is Barcelona. There is a pleasing simplicity to the community view, with each country being its own community. Non-labelled version of the community view network graph. The larger circles stand for each national team. One of them, in mid-blue, is separated at the top, with very few connections to the other three. Two more are in the middle (green and pink) and then the fourth team is at the bottom and orange. The shape is an elongated diamond with curved edges. The team at the top has a smaller circle at its top left, a club team. There is another smaller circle at the top right of the leftmost one of the two national teams in the middle. There is one link from it to the national team at the top. Similarly, the national team at the bottom has one of the larger circles coming off it, bottom middle. The same graph as before, but labelled. The large circles stand for each national team. One of them, Italy, is separated at the top, with very few connections to the other three and is in blue. Italy being blue is a complete and happy coincidence. Two more are in the middle (Germany, left, are green and England, right, are pink) and then the fourth team, Spain, is at the bottom and in orange. The shape is an elongated diamond with curved edges. Italy have a smaller circle at their top left, a club team. It is Juventus. There is another smaller circle at the top right of the leftmost of Germany, it is Bayern Munich. There is one link from it to Italy, as one Italian player plays for Bayern. Similarly, Spain have a smaller circle coming off them, bottom middle. It is Barcelona. Unsurprisingly, the largest of the paler red circles reflects the club teams with the most representatives left, Barcelona with 10, Bayern Munich with 9 and Juventus with 8. 

Germany are the national team closest to the centre, because of Italy pulling them up. For the same reason, Bayern Munich are the club team closest to the centre. 

I have seen all of the semi-finalists except England play (and I am banned from watching them lest I be an ill omen).  I am guessing that Spain will beat Germany but that German team have a certain admirable determination about them.
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