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 Difference Cordial Labeling of $m-$ copies of Path, Cycle, Star, and Ladder Graphs

R Ponraj; A Gayathri; Prof.Dr M.Sivakumar

Volume 54, Issue 2 , December 2022, , Pages 37-47

https://doi.org/10.22059/jac.2022.90409

Abstract
  In this paper, we consider only finite, undirected, and simple graphs. The concept of cordial labeling was introduced by Cahit[4]. Different types of cordial-related labeling were studied in [1, 2, 3, 5, 16]. In a similar line, the notion of pair difference cordial labeling of a graph was introduced ...  Read More

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

$k$-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

$k$-Total prime cordial labeling of graphs

R Ponraj; J Maruthamani; R Kala

Volume 50, Issue 1 , June 2018, , Pages 143-149

https://doi.org/10.22059/jac.2018.68651

Abstract
  In this paper we introduce a new graph labeling method called $k$-Total prime cordial. Let $G$ be a $(p,q)$ graph. Let $f:V(G)\to\{1,2, \ldots, k\}$ be a map where $k \in \mathbb{N}$ and $k>1$. For each edge $uv$, assign the label $gcd(f(u),f(v))$. $f$ is called $k$-Total prime cordial labeling of ...  Read More

k-Remainder Cordial Graphs

R. Ponraj; K. Annathurai; R. Kala

Volume 49, Issue 2 , December 2017, , Pages 41-52

https://doi.org/10.22059/jac.2017.7976

Abstract
  In this paper we generalize the remainder cordial labeling, called $k$-remainder cordial labeling and investigate the $4$-remainder cordial labeling behavior of certain graphs.  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

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

Further results on total mean cordial labeling of graphs

R. Ponraj; S. Sathish Narayanan

Volume 46, Issue 1 , December 2015, , Pages 73-83

https://doi.org/10.22059/jac.2015.7926

Abstract
  A graph G = (V,E) with p vertices and q edges is said to be a total mean cordial graph if there exists a function f : V (G) → {0, 1, 2} such that f(xy) = [(f(x)+f(y))/2] where x, y ∈ V (G), xy ∈ E(G), and the total number of 0, 1 and 2 are balanced. That is |evf (i) ...  Read More