How to find the pattern subgraphs in original graph?












1















I have a graph. One can see that the complect subgraph A<->B<->C and E<->D<->F (pattern) occurs twice in the graph. I found the motifs and took 1st and 7th motifs from the list of igraphs.



libraty(igraph)
el <- matrix( c("A", "B",
"A", "C",
"B", "A",
"B", "C",
"C", "A",
"C", "B",
"C", "E",
"E", "D",
"E", "F",
"D", "E",
"D", "F",
"F", "E",
"F", "D"),
nc = 2, byrow = TRUE)


graph <- graph_from_edgelist(el)

pattern <- graph.isocreate(size=3, number = 15, directed=TRUE)

iso <- subgraph_isomorphisms(pattern, graph)
motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) })

V(graph)$id <- seq_len(vcount(graph))
V(graph)$color <- "white"

par(mfrow=c(1,2))

plot(graph, edge.curved=TRUE, main="Original graph")

m1 <- V(motifs[[1]])$id; m2 <- V(motifs[[7]])$id

V(graph)[m1]$color="red"; V(graph)[m2]$color="green"

plot(graph, edge.curved=TRUE, main="Highlight graph")


enter image description here



I have a solution by hand selection motifs[[1]], motifs[[7]].



Question.



How to find the vertex lists of the pattern subgraph (for example, complect subgraph) automatically?










share|improve this question

























  • I removed my solution as I realised something unstable in it. In any case, it is still not entirely clear what you mean by matching or "In graph can be occurred some triads and I need to color them".

    – Julius Vainora
    Nov 18 '18 at 2:23






  • 1





    If you want the equivalent of motifs, use subgraph_isomorphisms with the LAD method (look up how) and induced=TRUE.

    – Szabolcs
    Nov 19 '18 at 12:37













  • @Szabolcs, I have tried change iso <- subgraph_isomorphisms(pattern, graph) motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) }) on the iso <- subgraph_isomorphisms(pattern, graph, methof="lad",induced=TRUE), but I have 12 lists of motifs again. ,

    – Nick
    Nov 19 '18 at 16:16


















1















I have a graph. One can see that the complect subgraph A<->B<->C and E<->D<->F (pattern) occurs twice in the graph. I found the motifs and took 1st and 7th motifs from the list of igraphs.



libraty(igraph)
el <- matrix( c("A", "B",
"A", "C",
"B", "A",
"B", "C",
"C", "A",
"C", "B",
"C", "E",
"E", "D",
"E", "F",
"D", "E",
"D", "F",
"F", "E",
"F", "D"),
nc = 2, byrow = TRUE)


graph <- graph_from_edgelist(el)

pattern <- graph.isocreate(size=3, number = 15, directed=TRUE)

iso <- subgraph_isomorphisms(pattern, graph)
motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) })

V(graph)$id <- seq_len(vcount(graph))
V(graph)$color <- "white"

par(mfrow=c(1,2))

plot(graph, edge.curved=TRUE, main="Original graph")

m1 <- V(motifs[[1]])$id; m2 <- V(motifs[[7]])$id

V(graph)[m1]$color="red"; V(graph)[m2]$color="green"

plot(graph, edge.curved=TRUE, main="Highlight graph")


enter image description here



I have a solution by hand selection motifs[[1]], motifs[[7]].



Question.



How to find the vertex lists of the pattern subgraph (for example, complect subgraph) automatically?










share|improve this question

























  • I removed my solution as I realised something unstable in it. In any case, it is still not entirely clear what you mean by matching or "In graph can be occurred some triads and I need to color them".

    – Julius Vainora
    Nov 18 '18 at 2:23






  • 1





    If you want the equivalent of motifs, use subgraph_isomorphisms with the LAD method (look up how) and induced=TRUE.

    – Szabolcs
    Nov 19 '18 at 12:37













  • @Szabolcs, I have tried change iso <- subgraph_isomorphisms(pattern, graph) motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) }) on the iso <- subgraph_isomorphisms(pattern, graph, methof="lad",induced=TRUE), but I have 12 lists of motifs again. ,

    – Nick
    Nov 19 '18 at 16:16
















1












1








1


1






I have a graph. One can see that the complect subgraph A<->B<->C and E<->D<->F (pattern) occurs twice in the graph. I found the motifs and took 1st and 7th motifs from the list of igraphs.



libraty(igraph)
el <- matrix( c("A", "B",
"A", "C",
"B", "A",
"B", "C",
"C", "A",
"C", "B",
"C", "E",
"E", "D",
"E", "F",
"D", "E",
"D", "F",
"F", "E",
"F", "D"),
nc = 2, byrow = TRUE)


graph <- graph_from_edgelist(el)

pattern <- graph.isocreate(size=3, number = 15, directed=TRUE)

iso <- subgraph_isomorphisms(pattern, graph)
motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) })

V(graph)$id <- seq_len(vcount(graph))
V(graph)$color <- "white"

par(mfrow=c(1,2))

plot(graph, edge.curved=TRUE, main="Original graph")

m1 <- V(motifs[[1]])$id; m2 <- V(motifs[[7]])$id

V(graph)[m1]$color="red"; V(graph)[m2]$color="green"

plot(graph, edge.curved=TRUE, main="Highlight graph")


enter image description here



I have a solution by hand selection motifs[[1]], motifs[[7]].



Question.



How to find the vertex lists of the pattern subgraph (for example, complect subgraph) automatically?










share|improve this question
















I have a graph. One can see that the complect subgraph A<->B<->C and E<->D<->F (pattern) occurs twice in the graph. I found the motifs and took 1st and 7th motifs from the list of igraphs.



libraty(igraph)
el <- matrix( c("A", "B",
"A", "C",
"B", "A",
"B", "C",
"C", "A",
"C", "B",
"C", "E",
"E", "D",
"E", "F",
"D", "E",
"D", "F",
"F", "E",
"F", "D"),
nc = 2, byrow = TRUE)


graph <- graph_from_edgelist(el)

pattern <- graph.isocreate(size=3, number = 15, directed=TRUE)

iso <- subgraph_isomorphisms(pattern, graph)
motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) })

V(graph)$id <- seq_len(vcount(graph))
V(graph)$color <- "white"

par(mfrow=c(1,2))

plot(graph, edge.curved=TRUE, main="Original graph")

m1 <- V(motifs[[1]])$id; m2 <- V(motifs[[7]])$id

V(graph)[m1]$color="red"; V(graph)[m2]$color="green"

plot(graph, edge.curved=TRUE, main="Highlight graph")


enter image description here



I have a solution by hand selection motifs[[1]], motifs[[7]].



Question.



How to find the vertex lists of the pattern subgraph (for example, complect subgraph) automatically?







r igraph sna isomorphism






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 18 '18 at 9:29







Nick

















asked Nov 17 '18 at 3:02









NickNick

283112




283112













  • I removed my solution as I realised something unstable in it. In any case, it is still not entirely clear what you mean by matching or "In graph can be occurred some triads and I need to color them".

    – Julius Vainora
    Nov 18 '18 at 2:23






  • 1





    If you want the equivalent of motifs, use subgraph_isomorphisms with the LAD method (look up how) and induced=TRUE.

    – Szabolcs
    Nov 19 '18 at 12:37













  • @Szabolcs, I have tried change iso <- subgraph_isomorphisms(pattern, graph) motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) }) on the iso <- subgraph_isomorphisms(pattern, graph, methof="lad",induced=TRUE), but I have 12 lists of motifs again. ,

    – Nick
    Nov 19 '18 at 16:16





















  • I removed my solution as I realised something unstable in it. In any case, it is still not entirely clear what you mean by matching or "In graph can be occurred some triads and I need to color them".

    – Julius Vainora
    Nov 18 '18 at 2:23






  • 1





    If you want the equivalent of motifs, use subgraph_isomorphisms with the LAD method (look up how) and induced=TRUE.

    – Szabolcs
    Nov 19 '18 at 12:37













  • @Szabolcs, I have tried change iso <- subgraph_isomorphisms(pattern, graph) motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) }) on the iso <- subgraph_isomorphisms(pattern, graph, methof="lad",induced=TRUE), but I have 12 lists of motifs again. ,

    – Nick
    Nov 19 '18 at 16:16



















I removed my solution as I realised something unstable in it. In any case, it is still not entirely clear what you mean by matching or "In graph can be occurred some triads and I need to color them".

– Julius Vainora
Nov 18 '18 at 2:23





I removed my solution as I realised something unstable in it. In any case, it is still not entirely clear what you mean by matching or "In graph can be occurred some triads and I need to color them".

– Julius Vainora
Nov 18 '18 at 2:23




1




1





If you want the equivalent of motifs, use subgraph_isomorphisms with the LAD method (look up how) and induced=TRUE.

– Szabolcs
Nov 19 '18 at 12:37







If you want the equivalent of motifs, use subgraph_isomorphisms with the LAD method (look up how) and induced=TRUE.

– Szabolcs
Nov 19 '18 at 12:37















@Szabolcs, I have tried change iso <- subgraph_isomorphisms(pattern, graph) motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) }) on the iso <- subgraph_isomorphisms(pattern, graph, methof="lad",induced=TRUE), but I have 12 lists of motifs again. ,

– Nick
Nov 19 '18 at 16:16







@Szabolcs, I have tried change iso <- subgraph_isomorphisms(pattern, graph) motifs <- lapply(iso, function (x) { induced_subgraph(graph, x) }) on the iso <- subgraph_isomorphisms(pattern, graph, methof="lad",induced=TRUE), but I have 12 lists of motifs again. ,

– Nick
Nov 19 '18 at 16:16














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