Number of k-stars in an adjacency matrix

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Daniel Stocks
Daniel Stocks on 25 Jan 2021
Commented: Daniel Stocks on 28 Jan 2021
Hi all,
I have an nxn adjacency matrix of a graph and want to know the number of unique 2-stars, 3-stars and triangles in the graph, is there a function I can use to do this or do code my own method?
I have to code my own method any advise on how to proceed would be appreciated.
Thank you

Answers (1)

Gaurav Garg
Gaurav Garg on 28 Jan 2021
Hi Daniel,
Even though you can find such patterns easily in 1-D arrays by converting them to strings (link1 and link2), it would be better if you can write such pattern funcitons for 2-D arrays.
for i=1:r
for j=1:c
answer = check_for_triangle(i,j);
end
end
function check_for_triangle(r, c)
is_present = false;
if A(r,c) == 1
if A(r+1,c) == 1 & A(r+1,c+1) == 1
if A(r+2,c) == 1 & A(r+2,c+1) == 1 & A(r+2,c+2) == 1
is_present = true;
end
end
end
end
The above given pseudo-code is an example of how you can write code pattern to check for a triangle in a binary adjacency matrix.

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