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Hard instances for this graph isomorphism algorithm based on powers of weighted adjacency matrices?

In short, I found an algorithm for GI and the only hard instances I found so far are non-isomorphic strongly regular graphs with large automorphism groups. Q1 What are hard instances for the ...
joro's user avatar
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2 votes
2 answers
330 views

Polynomial time algorithm for rigid graph isomorphism

We found, implemented and tested algorithm for graph isomorphism and it appears to be polynomial time if the graph is rigid. Q1 Is the algorithm below correct and polynomial time for rigid graphs? A ...
joro's user avatar
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3 votes
0 answers
350 views

Beating Kadane's Algorithm

I am seeking some reference on already existing work for the following problem. Given an $n$-dimensional square matrix $A=DP$ where $D$ is a diagonal and $P$ is a permutation matrix (think of Gaussian ...
Predrag Punosevac's user avatar
2 votes
1 answer
403 views

Finding a 5-cycle in a sparse graph efficiently.

Hi, I was reading this thread: Finding a cycle of fixed length I want to find a 5-cycle in a graph. Actually, what I really want is a shortest odd cycle of length at least 5, but maybe that is a ...
Andrew D. King's user avatar
2 votes
5 answers
5k views

Nodes clusters with a distance matrix

Hi, I have a (symmetric) matrix $M$ that represents the distance between each pair of nodes. For example, A B C D E F G H I J K L A 0 20 20 20 40 60 60 60 100 120 ...
Yassin Ezbakhe's user avatar