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October 2nd, 2015, 08:00 AM  #1 
Newbie Joined: Oct 2015 From: Poland Posts: 1 Thanks: 0  Find max size of clique in permutation graph
Hello, I have following problem. I have following graph: 1 3 1 5 1 4 2 4 2 3 2 5 3 4 which looks like below I want to calculate permutation for this graph. My result is: (4 3 5 1 2) But it looks that is wrong answer. Size of the largest clique in permutation graph is equal to the longest decreasing subsequence of permutation. The longest decreasing subsequence of my permutation is 2, when the largest clique has size equals to 3. Could you please help me with this issue? I would appreciaty any help that you can provide. Best regards Antek 
October 2nd, 2015, 06:32 PM  #2 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 632 Thanks: 85 
I'm not sure I understand the question. If by permutations you mean how many line segments met each point, just count the frequency of each number in the original list, making the answer (3 3 3 3 2).


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clique, find, graph, max, permutation, size 
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