The betweenness (centrality) denotes the proportion of all shortest paths between node pairs in a network passing through the measured node, indicating the relative importance of the particular node in network global connectivity.
To investigate the strength of the relationship between any particular node on the BBN and the query node (eruption probability), we compute Mutual Information MII).
Betweenness is a measure of the bottleneck a particular node creates on a network, calculated as the number of times a particular node falls on the shortest path between any two other nodes with edges weighted, in our case as genetic distances.
It is suitable if the topological relationship between particular nodes i and j are to be quantified, even if i and j are not linked: the TIi n index quantifies the expected strength of indirect effects between them, mediated by one or several mediator node(s).
More broadly, betweenness centrality represents the frequency with which a particular node is on the geodesic path between any other two nodes in the network [8].
Obviously, in-degree and out-degree only consider the partners connected directly to any particular node, whereas between-ness considers a node's position in the network.
Importance, for a particular variable, is the sum across all nodes in the tree of the improvement scores between this variable and the best splitter at a particular node [17].
Note: Importance, for a particular variable, is the sum, across all nodes in the tree, of the improvement scores between this variable and the best splitter at a particular node.
Collaboration can focus on a particular node in the supply chain or address processes that span the value chain.
In the majority of cases, particular nodes are not independent - there are interactions between them, that may be overlooked.
