Spanning Trees and Dijkstraâs Algorithm

1 / 6

# Spanning Trees and Dijkstraâs Algorithm - PowerPoint PPT Presentation

Spanning Trees and Dijkstra’s Algorithm. Excursions in Modern Mathematics( Tannenbaum ) and Thinking Mathematically (Blitzer). Spanning Trees. A subgraph that connects all the vertices of the network and has no circuits .

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Spanning Trees and Dijkstraâs Algorithm' - eliza

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Spanning Trees and Dijkstra’s Algorithm

Excursions in Modern Mathematics(Tannenbaum) and Thinking Mathematically (Blitzer)

Spanning Trees

A subgraph that connects all the vertices of the network and has no circuits.

By removing redundant edges makes it possible to increase the efficiency of the network modeled by the graph.

A spanning tree must have one less edge than it’s vertices. Number of vertices – 1.

Minimum Spanning Tree

The minimum cost spanning tree for a weighted graph is a spanning tree with the smallest possible total weight.

Example

12

17

15

35

8

17

15

35

8

24

20

24

20

12

17

15

35

8

20

Dijkstra’s Shortest-Path Algorithm