1. shortest_avg_max_hist(1)
2. www.complex-networks.net
3. shortest_avg_max_hist(1)

NAME

shortest_avg_max_hist - Compute the distance between one node and all the other nodes of a graph

SYNOPSIS

shortest_avg_max_hist graph_in node

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

graph_in

input graph (edge list) if equal to - (dash), read the edge list from STDIN.

node

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 <v.nicosia@qmul.ac.uk>.

1. www.complex-networks.net
2. September 2017
3. shortest_avg_max_hist(1)