From 3aee2fd43e3059a699af2b63c6f2395e5a55e515 Mon Sep 17 00:00:00 2001 From: KatolaZ Date: Wed, 27 Sep 2017 15:06:31 +0100 Subject: First commit on github -- NetBunch 1.0 --- doc/label_prop.md | 104 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 104 insertions(+) create mode 100644 doc/label_prop.md (limited to 'doc/label_prop.md') diff --git a/doc/label_prop.md b/doc/label_prop.md new file mode 100644 index 0000000..4a0c382 --- /dev/null +++ b/doc/label_prop.md @@ -0,0 +1,104 @@ +label_prop(1) -- Find communities using label propagation +====== + +## SYNOPSIS + +`label_prop` [SYNC|ASYNC] [] + +## DESCRIPTION + +`label_prop` finds the communities in using the label +propagation algorithm proposed by Raghavan, Albert, and Kumara. The +program prints on STDOUT the partition obtained where no more label +flips are possible, and reports on STDERR the number of communities +and the corresponding value of modularity at each epoch. When used in +ASYNC mode, the algorithm is suitable to find communities in large +graphs. + +## PARAMETERS + +* `SYNC`|`ASYNC`: + The first parameter is used to choose between synchronous (`SYNC`) + or asynchronous (`ASYNC`) label update. + +* : + undirected input graph (edge list). If is equal to `-` (dash), read + the edge list from STDIN. + +* : + Sets the maximum number of epochs to run (optional). + +## OUTPUT + +The program prints on STDOUT the partition obtained where no more +label flips are possible, in the format: + + ## nc: NUM_COMM Q_max: Q_MAX Epochs: EPOCHS + node_1 comm_1 + node_2 comm_2 + node_3 comm_3 + ... + +where `comm_i` is the community to which `node_i` belongs. The first +output line reports the number of communities `NUM_COMM`, the +corresponding value of modularity `Q_MAX`, and the number of epochs +`EPOCHS` used to find the partition. + +The program prints on STDERR the epoch number, the value of modularity +of the partition at that epoch, and the number of flips made in that +epoch, in the format: + + 1 Q_1 flips_1 + 2 Q_2 flips_2 + 3 Q_3 flips_3 + .... + +where `Q_i` is the modularity of the partition at the i-th epoch, and +`flips_i` is the number of label flips performed during that +epoch. + +## EXAMPLES + +We can use `label_prop` to find communities in the graph +`karate_club_unweighted.net` (Zachary Karate Club network) with the command: + + $ label_prop ASYNC karate_club_unweighted.net 2> karate_label-prop_trace + ### nc: 2 Q_max: 0.371795 Epochs: 6 + 0 0 + 1 0 + 2 0 + 3 0 + ... + 30 1 + 31 1 + 32 1 + 33 1 + $ + +The program has found a partition with 2 communities corrisponding to +a modularity Q=0.371795. Notice that node 0, 1, 2, 3, are in community +0, while node 30, 31, 32, 33 are in community 1. In this example, we +have chosen to save the information about the modularity and number of +flips at each epoch in the file `karate_label-prop_trace`. + +## SEE ALSO + +modularity(1), gn(1), cnm(1) + +## REFERENCES + +* U\. N. Raghavan, R. Albert, and S. Kumara. "Near linear time + algorithm to detect community structures in large-scale + networks". Phys. Rev. E 76 (2007), 036106. + +* V\. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, + Methods and Applications", Appendix 19, Cambridge University Press + (2017) + +* V\. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles, + Methods and Applications", Chapter 9, Cambridge University Press + (2017) + +## AUTHORS + +(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 ``. -- cgit v1.2.3