Extract a list of edges between community nodes and other nodes for each community












0















Suppose we have a simple weighted network on which we perform some sort of community detection. Next we extract particular community and the final task is to extract all edges between nodes of this community and all other nodes.



Below I pasted the toy code.



# Create toy graph
library(igraph)
set.seed(12345)
g <- make_graph("Zachary")
# Add weights to edges
E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
# Run community detection
cl <- cluster_louvain(g)


There are 5 nodes which belong to community #1, 12 nodes which belong to community #2, etc.



> table(membership(cl))
1 2 3 4
5 12 2 15


Now we extract community #1:



g1 <- induced_subgraph(g, which(cl$membership == 1))


Question: how to find edges which connect nodes in community #1 with all other nodes (excluding edges which define community #1)?



There is an answer related to certain community below



You start by getting all edges based in your community:



all_edges <- E(g)[inc(V(g)[membership(cl) == 1])]
all_edges
+ 10/78 edges:
[1] 1-- 5 1-- 6 1-- 7 1--11 5-- 7 5--11 6-- 7 6--11 6--17 7--17


Then, filter out the ones that are completely internal (both vertices are in the community):



all_edges_m <- get.edges(g, all_edges) #matrix representation

all_edges[!(
all_edges_m[, 1] %in% V(g)[membership(cl) == 1] &
all_edges_m[, 2] %in% V(g)[membership(cl) == 1]
)] # filter where in col1 and col2
+ 4/78 edges:
[1] 1-- 5 1-- 6 1-- 7 1--11


But for me its necessary to get the whole list containing those nodes for each community. not only for the one. Are the any suggestions to create this loop? It would be superb if yes :)










share|improve this question



























    0















    Suppose we have a simple weighted network on which we perform some sort of community detection. Next we extract particular community and the final task is to extract all edges between nodes of this community and all other nodes.



    Below I pasted the toy code.



    # Create toy graph
    library(igraph)
    set.seed(12345)
    g <- make_graph("Zachary")
    # Add weights to edges
    E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
    # Run community detection
    cl <- cluster_louvain(g)


    There are 5 nodes which belong to community #1, 12 nodes which belong to community #2, etc.



    > table(membership(cl))
    1 2 3 4
    5 12 2 15


    Now we extract community #1:



    g1 <- induced_subgraph(g, which(cl$membership == 1))


    Question: how to find edges which connect nodes in community #1 with all other nodes (excluding edges which define community #1)?



    There is an answer related to certain community below



    You start by getting all edges based in your community:



    all_edges <- E(g)[inc(V(g)[membership(cl) == 1])]
    all_edges
    + 10/78 edges:
    [1] 1-- 5 1-- 6 1-- 7 1--11 5-- 7 5--11 6-- 7 6--11 6--17 7--17


    Then, filter out the ones that are completely internal (both vertices are in the community):



    all_edges_m <- get.edges(g, all_edges) #matrix representation

    all_edges[!(
    all_edges_m[, 1] %in% V(g)[membership(cl) == 1] &
    all_edges_m[, 2] %in% V(g)[membership(cl) == 1]
    )] # filter where in col1 and col2
    + 4/78 edges:
    [1] 1-- 5 1-- 6 1-- 7 1--11


    But for me its necessary to get the whole list containing those nodes for each community. not only for the one. Are the any suggestions to create this loop? It would be superb if yes :)










    share|improve this question

























      0












      0








      0








      Suppose we have a simple weighted network on which we perform some sort of community detection. Next we extract particular community and the final task is to extract all edges between nodes of this community and all other nodes.



      Below I pasted the toy code.



      # Create toy graph
      library(igraph)
      set.seed(12345)
      g <- make_graph("Zachary")
      # Add weights to edges
      E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
      # Run community detection
      cl <- cluster_louvain(g)


      There are 5 nodes which belong to community #1, 12 nodes which belong to community #2, etc.



      > table(membership(cl))
      1 2 3 4
      5 12 2 15


      Now we extract community #1:



      g1 <- induced_subgraph(g, which(cl$membership == 1))


      Question: how to find edges which connect nodes in community #1 with all other nodes (excluding edges which define community #1)?



      There is an answer related to certain community below



      You start by getting all edges based in your community:



      all_edges <- E(g)[inc(V(g)[membership(cl) == 1])]
      all_edges
      + 10/78 edges:
      [1] 1-- 5 1-- 6 1-- 7 1--11 5-- 7 5--11 6-- 7 6--11 6--17 7--17


      Then, filter out the ones that are completely internal (both vertices are in the community):



      all_edges_m <- get.edges(g, all_edges) #matrix representation

      all_edges[!(
      all_edges_m[, 1] %in% V(g)[membership(cl) == 1] &
      all_edges_m[, 2] %in% V(g)[membership(cl) == 1]
      )] # filter where in col1 and col2
      + 4/78 edges:
      [1] 1-- 5 1-- 6 1-- 7 1--11


      But for me its necessary to get the whole list containing those nodes for each community. not only for the one. Are the any suggestions to create this loop? It would be superb if yes :)










      share|improve this question














      Suppose we have a simple weighted network on which we perform some sort of community detection. Next we extract particular community and the final task is to extract all edges between nodes of this community and all other nodes.



      Below I pasted the toy code.



      # Create toy graph
      library(igraph)
      set.seed(12345)
      g <- make_graph("Zachary")
      # Add weights to edges
      E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
      # Run community detection
      cl <- cluster_louvain(g)


      There are 5 nodes which belong to community #1, 12 nodes which belong to community #2, etc.



      > table(membership(cl))
      1 2 3 4
      5 12 2 15


      Now we extract community #1:



      g1 <- induced_subgraph(g, which(cl$membership == 1))


      Question: how to find edges which connect nodes in community #1 with all other nodes (excluding edges which define community #1)?



      There is an answer related to certain community below



      You start by getting all edges based in your community:



      all_edges <- E(g)[inc(V(g)[membership(cl) == 1])]
      all_edges
      + 10/78 edges:
      [1] 1-- 5 1-- 6 1-- 7 1--11 5-- 7 5--11 6-- 7 6--11 6--17 7--17


      Then, filter out the ones that are completely internal (both vertices are in the community):



      all_edges_m <- get.edges(g, all_edges) #matrix representation

      all_edges[!(
      all_edges_m[, 1] %in% V(g)[membership(cl) == 1] &
      all_edges_m[, 2] %in% V(g)[membership(cl) == 1]
      )] # filter where in col1 and col2
      + 4/78 edges:
      [1] 1-- 5 1-- 6 1-- 7 1--11


      But for me its necessary to get the whole list containing those nodes for each community. not only for the one. Are the any suggestions to create this loop? It would be superb if yes :)







      r cluster-analysis igraph






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      asked Nov 19 '18 at 13:30









      Maksym MorozMaksym Moroz

      4610




      4610
























          1 Answer
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          Here is my take on your problem:



          library(igraph) 
          set.seed(12345)
          g <- make_graph("Zachary")
          E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
          cl <- cluster_louvain(g)


          add membership as a vertex attribute



          V(g)$name <- membership(cl)


          get edgelist



          x <- as_edgelist(g, names = T)


          here are all edges that connect vertices of different communities



          V(g)$name <- 1:vcount(g)
          E(g)[x[,1] != x[,2]]


          optional check



           E(g)$color <- ifelse(x[,1] != x[,2], "red", "blue")
          plot(g, edge.color = E(g)$color)
          plot(cl, g)





          share|improve this answer





















          • 1





            thank you for your approach !

            – Maksym Moroz
            Nov 19 '18 at 15:29











          Your Answer






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          1 Answer
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          active

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          0














          Here is my take on your problem:



          library(igraph) 
          set.seed(12345)
          g <- make_graph("Zachary")
          E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
          cl <- cluster_louvain(g)


          add membership as a vertex attribute



          V(g)$name <- membership(cl)


          get edgelist



          x <- as_edgelist(g, names = T)


          here are all edges that connect vertices of different communities



          V(g)$name <- 1:vcount(g)
          E(g)[x[,1] != x[,2]]


          optional check



           E(g)$color <- ifelse(x[,1] != x[,2], "red", "blue")
          plot(g, edge.color = E(g)$color)
          plot(cl, g)





          share|improve this answer





















          • 1





            thank you for your approach !

            – Maksym Moroz
            Nov 19 '18 at 15:29
















          0














          Here is my take on your problem:



          library(igraph) 
          set.seed(12345)
          g <- make_graph("Zachary")
          E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
          cl <- cluster_louvain(g)


          add membership as a vertex attribute



          V(g)$name <- membership(cl)


          get edgelist



          x <- as_edgelist(g, names = T)


          here are all edges that connect vertices of different communities



          V(g)$name <- 1:vcount(g)
          E(g)[x[,1] != x[,2]]


          optional check



           E(g)$color <- ifelse(x[,1] != x[,2], "red", "blue")
          plot(g, edge.color = E(g)$color)
          plot(cl, g)





          share|improve this answer





















          • 1





            thank you for your approach !

            – Maksym Moroz
            Nov 19 '18 at 15:29














          0












          0








          0







          Here is my take on your problem:



          library(igraph) 
          set.seed(12345)
          g <- make_graph("Zachary")
          E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
          cl <- cluster_louvain(g)


          add membership as a vertex attribute



          V(g)$name <- membership(cl)


          get edgelist



          x <- as_edgelist(g, names = T)


          here are all edges that connect vertices of different communities



          V(g)$name <- 1:vcount(g)
          E(g)[x[,1] != x[,2]]


          optional check



           E(g)$color <- ifelse(x[,1] != x[,2], "red", "blue")
          plot(g, edge.color = E(g)$color)
          plot(cl, g)





          share|improve this answer















          Here is my take on your problem:



          library(igraph) 
          set.seed(12345)
          g <- make_graph("Zachary")
          E(g)$weight <- sample(x = 1:10, size = ecount(g), replace = TRUE)
          cl <- cluster_louvain(g)


          add membership as a vertex attribute



          V(g)$name <- membership(cl)


          get edgelist



          x <- as_edgelist(g, names = T)


          here are all edges that connect vertices of different communities



          V(g)$name <- 1:vcount(g)
          E(g)[x[,1] != x[,2]]


          optional check



           E(g)$color <- ifelse(x[,1] != x[,2], "red", "blue")
          plot(g, edge.color = E(g)$color)
          plot(cl, g)






          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited Nov 19 '18 at 14:58

























          answered Nov 19 '18 at 14:44









          Ben NutzerBen Nutzer

          9818




          9818








          • 1





            thank you for your approach !

            – Maksym Moroz
            Nov 19 '18 at 15:29














          • 1





            thank you for your approach !

            – Maksym Moroz
            Nov 19 '18 at 15:29








          1




          1





          thank you for your approach !

          – Maksym Moroz
          Nov 19 '18 at 15:29





          thank you for your approach !

          – Maksym Moroz
          Nov 19 '18 at 15:29


















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