dijkstra - Compute the distance between one node and all the other nodes of a weighted graph
dijkstra graph_in node
dijkstra computes the distance (and the shortest paths) between a
given node and all the other nodes of an undirected weighted graph
provided as input. The program implements the Dijkstra's algorithm.
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
dijkstra prints on the standard output the distances betwen node
and all the other nodes of the graph, in the format:
d0 d1 d2 d3.....
where d0 is the distance to node 0, d1 is the distance to node
1, and so forth.
The following command:
$ dijkstra US_airports.net 0
0 4784 5662 6603 11097 7470 4472 ....
$
will show on output the distances between node 0 and all the other
nodes in the graph US_airports.net (the US air transportation
network).
E. W. Dijkstra. "A Note on Two Problems in Connexion with Graphs". Num. Math. 1 (1959), 269-271.
V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Chapter 10, Cambridge University Press (2017)
V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, Methods and Applications", Appendix 6, Cambridge University Press (2017)
(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <v.nicosia@qmul.ac.uk>.