Volume 55 (2023)
Volume 54 (2022)
Volume 53 (2021)
Volume 52 (2020)
Volume 51 (2019)
Volume 50 (2018)
Volume 49 (2017)
Volume 48 (2016)
Volume 47 (2016)
Volume 46 (2015)
Volume 45 (2014)
Volume 44 (2013)
Volume 43 (2009)
Volume 42 (2008)
Volume 41 (2007)
Pair mean cordial labeling of graphs

R Ponraj; S Prabhu

Volume 54, Issue 1 , June 2022, , Pages 1-10

https://doi.org/10.22059/jac.2022.87392

Abstract
  In this paper, we introduce a new graph labeling called pair mean cordial labeling of graphs. Also, we investigate the pair mean cordiality of some graphs like path, cycle, complete graph, star, wheel, ladder, and comb.  Read More

$4$-total mean cordial labeling of union of some graphs with the complete bipartite graph $K_{2,n}$

R Ponraj; S SUBBULAKSHMI; S Somasundaram

Volume 54, Issue 1 , June 2022, , Pages 35-46

https://doi.org/10.22059/jac.2022.88026

Abstract
  Let $G$ be a graph. Let $f:V\left(G\right)\rightarrow \left\{0,1,2,\ldots,k-1\right\}$ be a function where $k\in \mathbb{N}$ and $k>1$. For each edge $uv$, assign the label $f\left(uv\right)=\left\lceil \frac{f\left(u\right)+f\left(v\right)}{2}\right\rceil$. $f$ is called $k$-total mean cordial labeling ...  Read More

PD-prime cordial labeling of graphs

R Ponraj; S SUBBULAKSHMI; S Somasundaram

Volume 51, Issue 2 , December 2019, , Pages 1-7

https://doi.org/10.22059/jac.2019.75109

Abstract
  \vspace{0.2cm} Let $G$ be a graph and $f:V(G)\rightarrow \{1,2,3,.....\left|V(G)\right|\}$ be a bijection. Let $p_{uv}=f(u)f(v)$ and\\ $ d_{uv}= \begin{cases} \left[\frac{f(u)}{f(v)}\right] ~~if~~ f(u) \geq f(v)\\ \\ \left[\frac{f(v)}{f(u)}\right] ~~if~~ f(v) \geq f(u)\\ \end{cases} $\\ for all edge ...  Read More

$k$-Total difference cordial graphs

R Ponraj; S.Yesu Doss Philip; R Kala

Volume 51, Issue 1 , June 2019, , Pages 121-128

https://doi.org/10.22059/jac.2019.71773

Abstract
  Let $G$ be a graph. Let $f:V(G)\to\{0,1,2, \ldots, k-1\}$ be a map where $k \in \mathbb{N}$ and $k>1$. For each edge $uv$, assign the label $\left|f(u)-f(v)\right|$. $f$ is called a $k$-total difference cordial labeling of $G$ if $\left|t_{df}(i)-t_{df}(j)\right|\leq 1$, $i,j \in \{0,1,2, \ldots, ...  Read More

Remainder Cordial Labeling of Graphs

R. Ponraj; K. Annathurai; R. Kala

Volume 49, Issue 1 , June 2017, , Pages 17-30

https://doi.org/10.22059/jac.2017.7965

Abstract
  In this paper we introduce remainder cordial labeling of graphs. Let $G$ be a $(p,q)$ graph. Let $f:V(G)\rightarrow \{1,2,...,p\}$ be a $1-1$ map. For each edge $uv$ assign the label $r$ where $r$ is the remainder when $f(u)$ is divided by $f(v)$ or $f(v)$ is divided by $f(u)$ according as $f(u)\geq ...  Read More

4-Prime cordiality of some classes of graphs

R. Ponraj; Rajpal Singh; S. Sathish Narayanan; A. M. S. Ramasamy

Volume 48, Issue 1 , December 2016, , Pages 69-79

https://doi.org/10.22059/jac.2016.7941

Abstract
  Let G be a (p, q) graph. Let f : V (G) → {1, 2, . . . , k} be a map. For each edge uv, assign the label gcd (f(u), f(v)). f is called k-prime cordial labeling of G if |vf (i) − vf (j)| ≤ 1, i, j ∈ {1, 2, . . . , k} and |ef (0) − ef (1)| ≤ 1 where vf (x) denotes the number ...  Read More

3-difference cordial labeling of some cycle related graphs

R. Ponraj; M. Maria Adaickalam

Volume 47, Issue 1 , June 2016, , Pages 1-10

https://doi.org/10.22059/jac.2016.7927

Abstract
  Let G be a (p, q) graph. Let k be an integer with 2 ≤ k ≤ p and f from V (G) to the set {1, 2, . . . , k} be a map. For each edge uv, assign the label |f(u) − f(v)|. The function f is called a k-difference cordial labeling of G if |νf (i) − vf (j)| ≤ 1 and ...  Read More