how to find all aliques of a node from an adjacency matrix?

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rumin diao 2022-10-13

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https://ww2.mathworks.cn/matlabcentral/answers/1824953-how-to-find-all-aliques-of-a-node-from-an-adjacency-matrix

i ran into a problem that find all cliques that a node have...

for example, here's an adjacency matrix:

X = [0 1 1 1 1
0 1 1 1
1 0 1 0
1 1 0 0
1 0 0 0];

1 means the two nodes can connect and 0 is the opposite meaning.

all the cliques that the first node have is [1 2 3 4] and [1 2 5], and that's the result i find by drawing a picture instead of by coding. my question is how to code and find the result?

i totally have no idea😭if anyone helps me, thanks a lot!!!

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