Given a dense graph (according to ore's theorem, dense means the sum of degrees of any 2 non-adjacent nodes is at least N, where N is the total number of nodes), we can find a Hamiltonian cycle in such a graph using Palmer's algorithm with a time complexity of O(n^2). My question is: Can we do better than this? (in terms of time complexity).
Can we find a Hamiltonian Cycle in a dense graph with better than O(n^2)?
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