|
77 | 77 | "http://openprocedings.org/EDBT/2014/paper_166.pdf"
|
78 | 78 | ]
|
79 | 79 | },
|
| 80 | + { |
| 81 | + "cell_type": "markdown", |
| 82 | + "metadata": {}, |
| 83 | + "source": [ |
| 84 | + "\n", |
| 85 | + "\n", |
| 86 | + "- _vertices_ - $|V|$, number of vertices / nodes in the graph\n", |
| 87 | + "- _edges_ - $|E|$, number of edges in the graph\n", |
| 88 | + "- _Cluster-coeff_ - clustering coefficient\n", |
| 89 | + "- _Eff-diameter_ - effective diameter (or effective eccentricity) is an estimated size of the path in which 90% of all pairs of vertices connected are reachable from each other\n", |
| 90 | + "- _roots_ - number of roots, nodes with no incoming edges, vertices with no predecessors (sources)\n", |
| 91 | + "- _leafs_ - number of leafs, nodes with no outgoing edges (sinks)\n", |
| 92 | + "\n", |
| 93 | + "The FELINE paper authors used the SNAP software <snap.stanford.edu/snap/> to compute these values" |
| 94 | + ] |
| 95 | + }, |
80 | 96 | {
|
81 | 97 | "cell_type": "code",
|
82 | 98 | "execution_count": null,
|
|
396 | 412 | "cell_type": "markdown",
|
397 | 413 | "metadata": {},
|
398 | 414 | "source": [
|
399 |
| - "\"FERRARI: Flexible and Efficient Reachability Range Assignment for Graph Indexing\" (2013)" |
| 415 | + "\"FERRARI: Flexible and Efficient Reachability Range Assignment for Graph Indexing\" (2013) \n", |
| 416 | + "http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.365.2894&rep=rep1&type=pdf" |
| 417 | + ] |
| 418 | + }, |
| 419 | + { |
| 420 | + "cell_type": "markdown", |
| 421 | + "metadata": {}, |
| 422 | + "source": [ |
| 423 | + "<!--  -->\n", |
| 424 | + "\n", |
| 425 | + "\n", |
| 426 | + "- $|V|$ - number of vertices (nodes)\n", |
| 427 | + "- $|E|$ - number of edges\n", |
| 428 | + "- $|V_C|$, $|E_C|$ - number of, respectively, vertices and edges in the _condensed graph_, where maximial strongly connected components were collapsed into \"supernodes\", i.e. directed acyclic graph (DAG) created from given graph" |
400 | 429 | ]
|
401 | 430 | },
|
402 | 431 | {
|
|
630 | 659 | "https://arxiv.org/abs/1404.4465"
|
631 | 660 | ]
|
632 | 661 | },
|
| 662 | + { |
| 663 | + "cell_type": "markdown", |
| 664 | + "metadata": {}, |
| 665 | + "source": [ |
| 666 | + " \n", |
| 667 | + "\n", |
| 668 | + "\n", |
| 669 | + "- $m/n$ - edge density, number of edges divided by number of nodes (vertices)\n", |
| 670 | + "- $d$ - length of the longest path, or maximal path length\n", |
| 671 | + "- % pos - the fraction of positive queries in a random sample of 100000 queries" |
| 672 | + ] |
| 673 | + }, |
633 | 674 | {
|
634 | 675 | "cell_type": "code",
|
635 | 676 | "execution_count": null,
|
|
0 commit comments