【摘要】 皇冠Q_n（n≥3）是一类调和图。研究表明,从皇冠Q_n（2|n）去掉n-1条悬挂边则不能保持其调和性;从皇冠Q_n（2|n）去掉一条悬挂边而能保持其调和性;从皇冠Q_n（2|n）连续去掉两条悬挂边而能保持其调和性。问题是:从皇冠最多去掉多少条悬挂边,还能保持其调和性?基于现有结论,给出:从皇冠Q_n（2|n,n≥6）连续去掉三条悬挂边而能保持其调和性;从皇冠Q₆连续去掉四条悬挂边则不能保持其调和性;从皇冠Q_n（2|n,n≥8）连续去掉四条悬挂边而能保持其调和性;并猜想:从皇冠Q_n（2|n）最多连续去掉n/2条悬挂边而能保持其调和性。更多还原

【Abstract】 The crown Q_n（n≥3） is a kind of harmonious graphs.Previous studies showed that:the harmoniousness can not be preserved if deleting n-1 pendent edges from crown Q_n（2|n）;the harmoniousness can be preserved if deleting one pendent edge from crown Q_n（2|n）;the harmoniousness can be preserved if deleting two pendent edges continuously from crown Q_n（2|n）.Like this,a question is raised nationally:How many pendent edges up to remove from the crown can preserve the harmoniousness? It is showed that deleting three pendent edges continuously from Q_n（2|n,n≥6） can preserve the harmoniousness;deleting four pendent edges continuously from Q₆ can not preserve the harmoniousness;deleting four pendent edges continuously from Q_n（2|n,n≥8） can preserve the harmoniousness.And suspect that the harmoniousness can be preserved by up to remove-pendent edges continuously from crown Q_n（2|n）.更多还原