31:T881,md` ## Interaction This is a visualization of (sampled) graphs with flickr user interactions at 5 different time periods. Hover over buttons below to switch between time periods. Hover over circles to show only subset of edges. Circles (layers) are formed by vertices with same distance to starting vertex. * If you hover over circle boundary, you'll see edges with both ends inside that circle. * if you hover in space between two circles, you'll see only edges, which connect vertices from theese two circles. ## Data The starting vertex has id = 41, probability of vertex reset was 0.15, the number of steps is 1000. | period | min
t | max
t | total
edges | total
vertices | sel.
edges | sel.
vertices | layers
distribution | | ------ | -------- | -------- | | T1 | 0 | 4e7 | 27565 | 5562 | 761 | 418 | 1 93 180 96 38 8 2 | | T2 | 4e7 | 5e7 | 94703 | 41733 | 732 | 490 | 1 69 161 122 71 36 14 6 4 1 1 2 2 | | T3 | 5e7 | 6e7 | 250414 | 76365 | 747 | 550 | 1 63 120 106 77 68 46 25 19 13 4 3 1 1 1 1 1 | | T4 | 6e7 | 7e7 | 1048572 | 225950 | 755 | 635 | 1 68 124 111 91 59 52 42 27 20 14 9 7 3 3 1 1 1 1 | | T5 | 7e7 | 8e7 | 2630991 | 413413 | 802 | 673 | 1 71 130 109 94 70 45 42 33 25 13 10 6 3 4 3 3 3 3 2 2 1 | Samples have been taken by random walk method as described here:
https://cs.stanford.edu/~jure/pubs/sampling-kdd06.pdf. Python code to generate samples can be found here:
https://gist.github.com/pallada-92/4019a28acfbdda0a28deb6d11fb8baa9 ## Layout This visualization uses custom layout. Since vertices belong to predefined circles, the only variable is an angle. 1. Assign random angles to all vertices from 0 to 2 * PI. 2. Repeat 10 times: * Assign angles of vertices of layer 2 from barycenters of their neighbors from layer 1. * Make distances between vertices of layer 1 equal. * Assign angles of vertices of layer 1 from barycenters of their neighbors from layer 2. * Make distances between vertices of layer 2 equal. 3. For each layer L = 3, 4, ... * Assign angles of vertices of layer L from barycenters of their neighbors from layer (L - 1). * Make distances between vertices of layer L equal. `32:T914,chart = { for (let i=0; i<10; i++) { setAverageNeigh(1, 2); evenSpacing(1); setAverageNeigh(2, 1); evenSpacing(2); } for (let i=3; i<10; i++) { setAverageNeigh(i, i - 1); evenSpacing(i); } let selLayer1 = null; let selLayer2 = null; const width = 932; const height = width; const svg = d3.select(DOM.svg(width, height)) .style("width", "100%") .style("height", "auto") .attr("text-anchor", "start"); const text = svg.append("text") .attr("transform", "scale(2),translate(5, 20)") .text(`Time period T${selDataId + 1}: all edges`); svg.on('mousemove', function() { let [x, y] = d3.mouse(this); x -= width / 2; y -= height / 2; const layer = Math.sqrt(x * x + y * y) / minRad; if (Math.abs(layer - Math.round(layer)) < 0.25) { selLayer1 = selLayer2 = Math.round(layer); } else { selLayer1 = Math.floor(layer); selLayer2 = Math.ceil(layer); } if (layer >= width / 3 / minRad) { selLayer1 = selLayer2 = null; svg.selectAll("text") .text(`Time period T${selDataId + 1}: all edges`) } else { svg.selectAll("text") .text(`Time period T${selDataId + 1}: edges from layer ${selLayer1} to layer ${selLayer2}`) } svg.selectAll("line") .attr("stroke", ({v1, v2}) => { const c1 = selLayer1 === null || data.layers[v1] === selLayer1; const c2 = selLayer2 === null || data.layers[v2] === selLayer2; if (selLayer1 === null && selLayer2 === null) return 'rgba(0, 0, 0, 0.1)'; return c1 && c2 ? 'rgba(255, 0, 0, 0.3)' : 'transparent'; }) }); const leaf = svg.selectAll("g") .data(vertexIds) .enter().append("g") .attr("transform", vid => { const [x, y] = getPosition(vid); return `translate(${x + width / 2},${y + height / 2})`; }); leaf.append("circle") .attr("r", 1) .attr("fill", "red"); const lines = svg.selectAll("line") .data(edges) .enter().append("line") .attr("stroke", 'rgba(0, 0, 0, 0.1)') .attr("x1", (e) => getPosition(e.v1)[0] + width / 2) .attr("x2", (e) => getPosition(e.v2)[0] + width / 2) .attr("y1", (e) => getPosition(e.v1)[1] + height / 2) .attr("y2", (e) => getPosition(e.v2)[1] + height / 2); return svg.node(); }33:T431d,data1 = ({"neigh": {"6160": [6544, 41, 5733, 46], "6544": [6160, 5760], "44": [6087, 41, 5547, 5582, 5586, 9209, 6042], "9209": [11234, 20420, 9734, 41, 44, 11532, 5656], "11982": [5656, 16976, 18520], "5656": [10880, 9734, 6408, 21643, 11019, 10257, 11925, 10775, 6167, 5659, 7586, 5925, 9125, 41, 9272, 5690, 17600, 11982, 9807, 5712, 15824, 5839, 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