algorithm - How to find the maximum edge-weighted clique? -


the maximum clique problem(mc-problem) classical np problem, , use branch-bound solve problem effectively. recently, try develop algorithm find out clique has maximum edge-weighted clique in graph, know, maximum edge-weighted clique problem(mec-problem).

i have found properties problem. first, clique must maximal clique not belong larger clique. sum of edges of clique must largest of maximal clique.

however, traditional algorithm of mc-problem not effective on mec-problem. therefore, want find effective algorithm on mec-problem, branch-bound algorithm.

thank you.

i don't think branch-and-bound algorithm can "effectively" solve max-clique problem.

your algorithm may perform in application field data. however, intelligent exponential search - such backtracking , branch-and-bound exponential in worst case.

the maximum edge-weighted clique problem polynomial turing reducible max-clique problem. equivalent each other in computational complexity.

my suggestion focus more on data properties. analyze application instances may contribute more algorithm's practical time performance.


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