Geometric mean cordial labeling of graphs

K Chitra Lakshmi, K Nagarajan

Abstract


Let $G =(V,E)$ be a graph and $f$ be a mapping from $V(G) \rightarrow \left\{0,1,2 \right\}$. For each edge $uv$ assign the label \(\left\lceil\sqrt{f(u)f(v)}\right\rceil\), $f$ is called a geometric mean cordial labeling if $\mid v_f (i)- v_f (j)\mid \leq 1 $ and $\mid e_f (i)- e_f (j) \mid \leq1 $, where $v_f(x)$ and $e_f(x)$ denote the number of vertices and edges labeled with $x$, $x \in\left\{ 0,1,2 \right\}$ respectively. A graph with a geometric mean cordial labeling is called geometric mean cordial graph. In this paper geometric mean cordiality of some standard graphs such as path, star, cycle, complete graph, complete bipartite graph, wheel are discussed.

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.