# Generating all non-isomorphic graphs for a given number of nodes with specified degrees

조회 수: 6(최근 30일)
Maxwell Day 2020년 11월 24일
댓글: Christine Tobler 2020년 11월 30일
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

댓글을 달려면 로그인하십시오.

### 답변(1개)

Christine Tobler 2020년 11월 24일
I've attached a script that computes the graphs in your example, here's the plot of all graphs it found:
##### 댓글 수: 10표시숨기기 이전 댓글 수: 9
Christine Tobler 2020년 11월 30일
k must also be less than e, since we are splitting up the number of edges into k edges, and then e-k other edges. The error is because e-k becomes negative.

댓글을 달려면 로그인하십시오.

### Community Treasure Hunt

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

Start Hunting!

Translated by