Guoyang Zhang
Abstract
We present a kind of disconnected graph the union of star St and graph m-C4,and have proved that graph Stp∪m-C4 is a graceful graph when m≥2.We have proved that the union of star St and graph ∪from i=1 to n mi-C4 graph St∪from i=1 to n mi-C4 is a graceful graph when max mi≥3(i=1,2,…,n).
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We present a kind of disconnected graph the union of star St and graph m-C4,and have proved that graph Stp∪m-C4 is a graceful graph when m≥2.We have proved that the union of star St and graph ∪from i=1 to n mi-C4 graph St∪from i=1 to n mi-C4 is a graceful graph when max mi≥3(i=1,2,…,n).
Key concepts: Windmill graph, Combinatorics, Voltage graph, Butterfly graph, Graph, Null graph, Distance-regular graph, Mathematics