Graph Theory 101 (WebEngDus17)

Graph Theory 101 – putting theory into practice
Graphs are everywhere! Learn the core basics of graph theory and see how this can be applied in a number of practical, every-day use cases.

5min talk from ELI5 series (explain me like I'm five)
Presentation consists of slides and interactive flip-chart session (not uploaded here)

Transcript

1. Graph Theory 101 by @another_clue putting theory into practice
2. graph theory discrete mathematics 2
3. No, not charts/diagrams! 3
4. G=(V,E) ordered set G = (V,E) V: set of vertices/nodes/points E: set of edges/connections/lines/arrows/arcs 4
5. properties empty trivial edgeless … 5
6. attributes vertex labels edge weights types … 6
7. putting into Practice 7
8. Facebook 8
9. Facebook V = people E = friends (undirected) Amy befriended with Bob 9
10. Facebook is an undirected graph 10
11. Twitter 11
12. Twitter V = accounts E = follower (directed) YourName follows @webengdus 12
13. Twitter is a digraph (directed graph) 13
14. git 14
15. git V = objects (commits, tags etc.) E = object references v1.0.0 refs #abc 15
16. git is a DAG (directed acyclic graph) 16
17. sat nav 17
18. sat nav V = cities E = roads (weight=distance) All roads lead to Rome? 18
19. sat nav multigraph (parallel edges, loops) shortest path? algorithms and heuristics 19
20. Conclusions 20
21. graphs are everywhere! 21
22. care about edges? use a graph! 22
23. graph libraries readily available 23
24. plenty of graph databases 24
25. Do you need a graph database? 25
26. // thank you! 26 @another_clue – https://lueck.tv/
27. 27 Exercise
28. 28 @WebEngDus Exercise
29. 29 @another_clue @WebEngDus Exercise
30. 30 @clue @another_clue @WebEngDus Exercise
31. 31 @clue @another_clue @WebEngDus @graphp Exercise
32. 32 @clue @another_clue @WebEngDus @graphp YOU! Exercise
33. More… 33
34. static analysis 34
35. static analysis V = functions E = functions invocation main() calls run() calls print() 35
36. static analysis digraph remove vertices with indegree=0 36