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- W2351239229 abstract "The present paper deals with the gracefulness of three kinds of unconnected graphs(P1∨Pn)∪Gr,(P1∨Pn)∪(P3∨K-r) and Wn∪St(m),and proves the following results: for positive integers n and m,let s=,r=s-1,Gr be a graceful graph with r-edges,if n≥4,then the unconnected graphs(P1∨Pn)∪Gr and(P1∨Pn)∪(P3∨K-r) are both graceful graphs;if n≥3 and m≥s,then the unconnected graph Wn∪St(m) is a graceful graph,where Pn is an n-vertex path,Kn is an n-vertex complete graph,K-n is the complement of graph Kn,graph G1∨G2 is the join graph of G1 and G2,Wn is an(n+1)-vertex wheel graph and St(m) is an(m+1)-vertex star tree." @default.
- W2351239229 created "2016-06-24" @default.
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- W2351239229 date "2007-01-01" @default.
- W2351239229 modified "2023-09-25" @default.
- W2351239229 title "Gracefulness of Unconnected Graphs(P_1∨P_n)∪G_r,(P_1∨P_n)∪(P_3∨■_r) and W_n∪St(m)" @default.
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