Graphs – Searching for Relationships COMP 200 & COMP 130 John Greiner & Stephen Wong.

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Presentation transcript:

Graphs – Searching for Relationships COMP 200 & COMP 130 John Greiner & Stephen Wong

Graphs – A Reminder Vertices/nodes + edges connecting vertices Directed Undirected

Social graph How are you connected to someone else? Math co-authors, centered on Paul Erdös.

Can Introducing Hepocyte Growth Factor Lead to Apoptosis?

How are Two Species Related?

Discovering Your Own Relations 7

How to Solve a Maze? 8

Solving a Maze: Right-Hand Rule 9 Good when you don’t know the maze layout.

How to Get to Work? 10

How to Route ?

Focus on Three Algorithms Depth-first Search Breadth-first Search Dijkstra’s Shortest Path 12 First, just quick introductions to each.

Depth- vs. Breadth-First Search c 2b 2a 3c 4b 3b 3a 4a DFSBFS

Dijkstra’s Shortest Path

Dijkstra’s Shortest Path ? 3? 4?

Dijkstra’s Shortest Path ? 3 4?

Dijkstra’s Shortest Path ? 3 4? 8?

Dijkstra’s Shortest Path ? 3 4 8?

Dijkstra’s Shortest Path ? 3 4 8? 6? 12?

Dijkstra’s Shortest Path ? 6? 12?

Dijkstra’s Shortest Path ? 6 12?

Dijkstra’s Shortest Path ?

Dijkstra’s Shortest Path ?

Dijkstra’s Shortest Path

Dijkstra’s Shortest Path ? 12?

Dijkstra’s Shortest Path ? 12

Dijkstra’s Shortest Path