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One Modulo Three Geometric Mean Graphs | ||
| Journal of Algorithms and Computation | ||
| مقاله 5، دوره 50، شماره 1، شهریور 2018، صفحه 101-108 اصل مقاله (268.35 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2018.68342 | ||
| نویسندگان | ||
| P. Jeyanthi* 1؛ A. Maheswari2؛ P. Pandiaraj2 | ||
| 1Govindammal Aditanar College for Women Tiruchendur-628 215, Tamil Nadu, India. | ||
| 2Department of Mathematics Kamaraj College of Engineering and Technology Virudhunagar- 626 001, Tamil Nadu, India | ||
| چکیده | ||
| A graph $G$ is said to be one modulo three geometric mean graph if there is an injective function $\phi$ from the vertex set of $G$ to the set $\{a \mid 1\leq a \leq 3q-2\} $ and either $a\equiv 0(mod 3) $ or $ a\equiv 1(mod 3)\}$ where $q$ is the number of edges of $G$ and $\phi$ induces a bijection $\phi^{*}$ form the edge set of $G$ to $\{a \mid 1\leq a\leq 3q-2 $ and $ a\equiv 1(mod3)\}$ given by $\phi^{*}(uv)=\left\lceil \sqrt{\phi(u)\phi(v)}\right\rceil$ or $\left\lfloor \sqrt{\phi(u)\phi(v)}\right\rfloor$ and the function $\phi$ is called one modulo three geometric mean labeling of $G$. In this paper, we establish that some families of graphs admit one modulo three geometric mean labeling. | ||
| کلیدواژه‌ها | ||
| mean labeling؛ one modulo three mean labeling؛ geometric mean labeling؛ one modulo three geometric mean labeling؛ one modulo three geometric mean graph | ||
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آمار تعداد مشاهده مقاله: 201 تعداد دریافت فایل اصل مقاله: 246 |
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