Every lobster is odd-elegant

Information Processing Letters(2013)

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摘要
A graph G having q edges is odd-elegant if it admits a mapping f:V(G)-{0,1,2,...,2q-1} with f(u)f(v) for distinct u,v@?V(G), and the label f(uv) of every edge uv@?E(G) is defined as f(uv)=f(u)+f(v)(mod2q) such that the set of all edge labels is equal to {1,3,5,...,2q-1}. We show that every lobster is odd-elegant.
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关键词
q edge,edge label,edge uv,graph g,distinct u
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