抄録
Offer Organization: Japan Society for the Promotion of Science, System Name: Grants-in-Aid for Scientific Research, Category: Grant-in-Aid for Scientific Research (C), Fund Type: -, Overall Grant Amount: - (direct: 3200000, indirect: 960000)
We developed some sufficient conditions and algorithms for arbitrary graphs by which the maximum clique problem can be solved in polynomial time. These algorithms can find an exact maximum clique in any arbitrary graph without any condition. We also confirmed experimentally that our newly developed another maximum-clique-finding algorithm works very efficiently. These algorithms were effectively applied for some problems as in bioinformatics.