|
| 1 | +package standard_graph |
| 2 | + |
| 3 | +import ( |
| 4 | + "github.com/elecbug/netkit/network-graph/graph" |
| 5 | + "github.com/elecbug/netkit/network-graph/node" |
| 6 | +) |
| 7 | + |
| 8 | +// RandomRegularGraph generates a random k-regular graph with n nodes. |
| 9 | +// Each node has exactly degree k. Returns nil if impossible. |
| 10 | +func RandomRegularGraph(n, k int, isUndirected bool) *graph.Graph { |
| 11 | + if k < 0 || n < 1 || k >= n { |
| 12 | + return nil |
| 13 | + } |
| 14 | + if (n*k)%2 != 0 { |
| 15 | + // if undirected, n*k must be even |
| 16 | + return nil |
| 17 | + } |
| 18 | + |
| 19 | + ra := genRand() |
| 20 | + g := graph.New(isUndirected) |
| 21 | + |
| 22 | + // add nodes |
| 23 | + for i := 0; i < n; i++ { |
| 24 | + g.AddNode(node.ID(toString(i))) |
| 25 | + } |
| 26 | + |
| 27 | + // duplicate each node k times as stubs |
| 28 | + stubs := make([]node.ID, 0, n*k) |
| 29 | + for i := 0; i < n; i++ { |
| 30 | + for j := 0; j < k; j++ { |
| 31 | + stubs = append(stubs, node.ID(toString(i))) |
| 32 | + } |
| 33 | + } |
| 34 | + |
| 35 | + // shuffle |
| 36 | + ra.Shuffle(len(stubs), func(i, j int) { stubs[i], stubs[j] = stubs[j], stubs[i] }) |
| 37 | + |
| 38 | + // attempt to create edges (self-loop / duplicate prevention) |
| 39 | + maxTries := n * k * 10 |
| 40 | + edges := make(map[[2]string]bool) |
| 41 | + try := 0 |
| 42 | + |
| 43 | + for len(stubs) > 1 && try < maxTries { |
| 44 | + a := stubs[len(stubs)-1] |
| 45 | + b := stubs[len(stubs)-2] |
| 46 | + stubs = stubs[:len(stubs)-2] |
| 47 | + |
| 48 | + // self-loop is not allowed |
| 49 | + if a == b { |
| 50 | + // put them back and shuffle |
| 51 | + stubs = append(stubs, a, b) |
| 52 | + ra.Shuffle(len(stubs), func(i, j int) { stubs[i], stubs[j] = stubs[j], stubs[i] }) |
| 53 | + try++ |
| 54 | + continue |
| 55 | + } |
| 56 | + |
| 57 | + // if undirected, edge key must be sorted |
| 58 | + key := [2]string{string(a), string(b)} |
| 59 | + if isUndirected && key[0] > key[1] { |
| 60 | + key[0], key[1] = key[1], key[0] |
| 61 | + } |
| 62 | + |
| 63 | + if edges[key] { |
| 64 | + // edge already exists, put them back and shuffle |
| 65 | + stubs = append(stubs, a, b) |
| 66 | + ra.Shuffle(len(stubs), func(i, j int) { stubs[i], stubs[j] = stubs[j], stubs[i] }) |
| 67 | + try++ |
| 68 | + continue |
| 69 | + } |
| 70 | + |
| 71 | + // add edge |
| 72 | + g.AddEdge(a, b) |
| 73 | + edges[key] = true |
| 74 | + } |
| 75 | + |
| 76 | + if len(stubs) > 0 { |
| 77 | + // if impossible to satisfy conditions |
| 78 | + return nil |
| 79 | + } |
| 80 | + |
| 81 | + return g |
| 82 | +} |
0 commit comments