Odd mean labeling on some new families of graphs

Lekha Bijukumar, Avani Matad

Abstract


A graph $G=(V(G),E(G))$ with $p$ vertices and $q$ edges is said to be an \textit{odd mean graph} if there is an injection $\textit{f}:V(G)\rightarrow\{0,1,2,\ldots,2q-1\}$ and the induced function $\textit{f*}:E(G)\rightarrow\{1,3,5,\ldots,2q-1\}$ defined as $f*(uv)=\begin{cases} \frac{f(u)+f(v)}{2}; \, \text{ if } f(u)+f(v) \text{ is even}\\ \frac{f(u)+f(v)+1}{2}; \, \text{ if } f(u)+f(v) \text{ is odd} \end{cases}$ is a bijection. In this paper we investigate some new families of odd mean graphs.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.




Web Counters

IJMSC has been indexed in several world class data bases like Google Scholar, DRJI (Directory of Research Journals Indexing) ,Cite Factor, Research Bible.

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.