This ratio tells how well connected the neighborhood of the node is.

Clustering coefficient of a node is the ratio of the number of connections in the neighborhood of a node and the number of connections if the neighborhood was fully connected.Closeness centrality of a node is the reciprocal of the sum of the shortest path distances from the current node to all other nodes.Betweenness centrality of a node is the sum of the fraction of all-pairs shortest paths that pass through it.Degree centrality for a node is the fraction of nodes connected to it.This can be measured with a variety of centrality measures, clustering coefficient, connectivity, and efficiency. It can be noted from below that the network has a radius of 5, a diameter of 9.Ĭertainly, some cities are more important than others. Some of these network parameters are calculated as below. From each of these cities, it is relatively difficult to reach to the further part of the network. There are 7 cities (listed below) at the periphery of the network. periphery of the network is the set of nodes whose eccentricity equals the diameter of the network.From all of these cities, it is relatively easy to reach any part of the network. There are 3 cities (listed below) at the center of the network. center of the network is the set of nodes whose eccentricity equals the radius of the network.The lower value of eccentricity means that the node is relatively closer to the center of the network while the higher value of eccentricity means that the node is relatively far from the center of the network. eccentricity is the maximum distance from a given node to all other nodes.diameter is the minimum number of edges that will connect the two nodes that are far apart.radius is the minimum number of edges needed to connect the most central node (city) to all others.Let us now define some common properties of the network: Those that want to take things further can even compete in the Ticket to Ride Championships held on the Orient Express.Fig-4: Destination card points distribution The ultimate aim, scoring, and gameplay are all simple to understand, yet there are hundreds of different strategic decisions to make, which means that this is a game which will certainly stand the test of time and become a firm family favorite. In style, the game is similar to Risk, as the ticket cards reminded us of Risk's mission cards, but Ticket to Ride keeps things short, sweet, and simple, which is a bonus when playing with children or you don't have a whole evening spare! The age recommendation is 8 upwards, which is a good guide, but we agreed that younger children might also enjoy playing, perhaps as part of a team. The transport theme appealed to our son, and made it different from other empire building tactical games that we've played. How Long and How Old Despite taking over an hour to complete with five players, it was a very enjoyable game to work through. However, because the board is so clear, we found we could easily locate the cities that we needed to visit on our travels despite not really knowing our US geography! The board, cards, and other game pieces are all really good quality, so we felt that the game merited its relatively high price tag. Our geographical knowledge of North America isn't very good, but we imagine it would improve really quickly with a few plays of this game, so it could be argued that Ticket to Ride is an educational board game.

A ticket to ride game