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rconnectionigraphshortest-path

how to connect directional sub-graphs in R igraph


I have a directional weighted graph that is made of two or more disconnected sub-graphs (with some attributes, in addition to weight):

require(igraph)
df<-data.frame(from=c(1,2,4,5),to=c(2,3,5,6),weight=c(1,1,1,1),attr=c(0.1,0.1,0.1,0.1))
g<-graph_from_data_frame(df,directed=T)

My ultimate goal is to find shortest path, but this can be done only for connected graphs.

As a result, I need to connect these two sub-graphs with an edge between 3 and 4 with the large weight (perhaps vcount(g)) so at the end I have just one graph. In general, vertex names are dates that define direction (from smaller to larger). More than one gap can be present.


Solution

  • You can try the code below if you have more than one gap (i.e., more than two clusters)

    e <- c(sapply(decompose(g),function(x) names(V(x))[degree(x)==1]))
    G <- g %>% 
      add.edges(e[2:(length(e)-1)],weight = vcount(g))
    

    such that

    > get.data.frame(G)
      from to weight attr
    1    1  2      1  0.1
    2    2  3      1  0.1
    3    4  5      1  0.1
    4    5  6      1  0.1
    5    7  8      1  0.1
    6    8  9      1  0.1
    7    3  4      9   NA
    8    6  7      9   NA
    

    Data

    df <-
      data.frame(
        from = c(1, 2, 4, 5, 7, 8),
        to = c(2, 3, 5, 6, 8, 9),
        weight = c(1, 1, 1, 1, 1, 1),
        attr = c(0.1, 0.1, 0.1, 0.1, 0.1, 0.1)
      )