Pn⊵C4和Pn⊵D2(C4)的奇调和标记

Sabrina Shena Sarasvati, Ikhsanul Halikin, Kristiana Wijaya
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引用次数: 0

摘要

如果存在一个注入f:V(G)→0 2q,使得诱导函数f*:E(G)→{1,3,…由f*(uv)=f(u)+f(v)定义的2q-1}是一个双射。本文证明了在4个顶点C4上路径Pn与循环的边梳积或4阶循环的影子D2(C4)所构造的图是奇调和的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Odd Harmonious Labeling of PnC4 and  PnD2(C4)
A graph G with q edges is said to be odd harmonious if there exists an injection f:V(G) → ℤ2q so that the induced function f*:E(G)→ {1,3,...,2q-1} defined by f*(uv)=f(u)+f(v) is a bijection.

Here we show that graphs constructed by edge comb product of path Pn and cycle on four vertices C4 or shadow of cycle of order four D2(C4) are odd harmonious.

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