shortest\_avg\_max\_hist(1) -- Compute the distance between one node and all the other nodes of a graph ====== ## SYNOPSIS `shortest_avg_max_hist` ## DESCRIPTION `shortest_avg_max_hist` computes the distance (and the shortest paths) between a given node and all the other nodes of an undirected graph provided as input. The program implements the Breadth-First Search algorithm, and works almost exactly as [shortest(1)][], except for the output. ## PARAMETERS * : input graph (edge list) if equal to `-` (dash), read the edge list from STDIN. * : The label of the node from which distances are to be computed ## OUTPUT The output ## EXAMPLES The following command: $ shortest_avg_max_hist er_1000_5000.net 25 3.2002 4 11 111 544 333 $ is showing the average distance between node `25` and all the other nodes in the graph (`3.2002`), the eccentricity of node `25` (equal to `4`), and the number of nodes at distance `1` (11), `2` (111), `3` (544) and `4` (333) from node `25`. ## SEE ALSO shortest(1), betweenness(1), bet_dependency(1) ## REFERENCES * V\. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 3, Cambridge University Press (2017) * V\. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 6, Cambridge University Press (2017) ## AUTHORS (c) Vincenzo 'KatolaZ' Nicosia 2009-2017 ``.