A graph G(p, q) is said to be odd harmonious if there exists an injection f: V (G) → {0, 1, 2, ? ? ? , 2q ? 1} such that the induced function f* : E(G) → {1, 3, ? ? ? , 2q ? 1} defined by f*(uv) = f(u) f(v) is a bijection. In this paper we prove that T p - tree, T ? P m , T ? 2 P m , regular bamboo tree, C n ? P m , C n ? 2P m and subdivided grid graphs are odd harmonious.
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机译:如果存在注射F:V(g)→{0,1,2,{0,1,2,则据说图G(p,q)是奇怪的和谐。还是还是2q? 1}使得诱导函数f *:e(g)→{1,3,?还是还是2q?由f *(uv)= f(u)f(v)定义1}是自动影响。在本文中,我们证明了T p-tree,t? p m,t? 2 p m,常规竹树,c n? p m,c n? 2P M和细分网格图是奇数和谐的。
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