纸质出版日期:2016,
网络出版日期:2016-7-25
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对任意正整数n,对任意自然数rii=1,2,…,3n+1,V(Fn,4)={v1v2…,v3n+1},图Fn,4(r1r2…,r3n+1)表示V(Fn,4)中的vi都粘接了ri条悬挂边所得到的图。讨论了图Fn,4(r1r2…,r3n+1)的优美性。证明了:对任意正整数n,对任意自然数, i=1,2,…,3n+1,图Fn,4(r1r2…,r3n+1)是交错图。
For natural numbers n(n≥1), r1r2…,r3n+1let V(Fn,4)={v1v2…,v3n+1}, Fn,4(r1r2…,r3n+1)is the new graph that every vertex viin the V(Fn,4)={v1v2…,v3n+1} is bonding rihanging edges. The gracefulness of the graph Fn,4(r1r2…,r3n+1) is discussed. It is proved that the graph Fn,4(r1r2…,r3n+1) is alternating graph.
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