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On fully essential condition of Hamilton Graph

SONG Yu mei Teachers College,Changchun University,Changchun 130022  
This article quotes the concept from the simple Graph G R related to Graph G which has the same coherence with Graph G.It makes an investigation into the constant formula of adjacency matrix of Graph G R and give out any graphs(undirection,direction,compound)to be the fully essential condition of Hamilton Graph.It draws the following conclusions that Graph G is the fully essential condition of Hamilton Graph and if PerG R si not zero,Graph G is the constant formula of adjacency matrix of simple Graph G R related to Graph G.His inference is that Graph G is sure to be Hamilton Graph if the row formula of adjacency matrix of the simple Graph G R related to Graph G is not zero.
【CateGory Index】: O157
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