Download presentation

Presentation is loading. Please wait.

Published byMadlyn Warren Modified over 2 years ago

1
9.3: Representing Graphs and Graph Isomorphism

2
Graphs, Edge tables, and adjacency matrices a bababab cdcdcdc edge lists Vertex adjacency vertexinitial vertex terminal vertex adjacency matrices

3
1-1 correspondence Def: When 2 simple graphs G1=(V1,E1) and G2=(V2,E2), there is a one-to-one correspondence (one-to-one and onto) between vertices of the two graphs that preserves the adjacency relationship. (i.e.: a and b are adjacent in G1 iff f(a) and f(b) are adjacent in G2). Examples:

4
Examples (sketch03)

5
How can you tell if 2 graphs are isomorphic, or not? It can be hard to tell, and it is impractical to check all n! possible correspondences. Two graphs are not isomorphic if they do not share an invariant property Question: Name some properties that two isomorphic graphs should share. Examples:

6
More examples B A C AC E DED # vertices# edgesDegreesCorresponding vertices Corresponding subgroups

7
More examples # vertices# edgesDegreesCorresponding vertices Corresponding subgroups

8
Define a 1-1 correspondence between vertices Example

Similar presentations

Presentation is loading. Please wait....

OK

CSE 211 Discrete Mathematics

CSE 211 Discrete Mathematics

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on natural resources land soil and water Ppt on healthy food and junk food Ppt on statistics and probability questions Ppt on transportation in plants for class 10 Ppt on data collection methods for teachers Ppt on 3g and 4g Ppt on testing of turbo generators Nano emissive display ppt online Ppt on earth hour philippines Ppt on online shopping site project