边重构猜想是指至少含有边的图能被它的边主子图集所决定,通过分析冠图的一个边主子图可能重构的图的结构,确定了它的两种边度结合重构数,进一步丰富了结构图论的内容.
Edge-reconstruction conjecture states that every graph with more than three edges is determined by its edge-card. Two kinds of degree associated edge reconstruction numbers of the graph P3·Cm are determined by considering the possible reconstructions from a degree-associate edge-card. The results enrich the structure property of graphs.