4 views (last 30 days)

I would like to generate the set of all possible, non-isomorphic graphs for a given number of nodes (n) with specified degrees. Such graphs are relatively small, they may have n = 1-8 where the degree of nodes may range from 1-4.

Generated graphs must be allowed to contain loops and multi-edges. Here, multi-edges have a max value of 2, that is any two nodes may be connected to eachother by a maximum of 2 edges, they may also be connected by 1 edge or 0 edges.

E.G. Generate all possible graphs (thay are allowed to contain loops and multi-edges) with 4 nodes (n = 4) where 2 of the nodes have the degree 2 (2-connected) and two of the nodes have the degree 3 (3-connected).

I have worked this out on paper, there should be 11 different graphs.

Is there an efficient way to generate all possible graphs (with restrictions listed above) with n nodes where the degree of each node is specified ?

Thanks!

-Maxwell Day

Christine Tobler
on 24 Nov 2020

Christine Tobler
on 30 Nov 2020

Christine Tobler
on 30 Nov 2020

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
## 0 Comments

Sign in to comment.