Volume 56 (2024)
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)
$k$-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

Asteroidal number for some product graphs

S. ALAGU; R. KALA

Volume 49, Issue 1 , June 2017, , Pages 31-43

https://doi.org/10.22059/jac.2017.7979

Abstract
  The notion of Asteroidal triples was introduced by Lekkerkerker and Boland [6]. D.G.Corneil and others [2], Ekkehard Kohler [3] further investigated asteroidal triples. Walter generalized the concept of asteroidal triples to asteroidal sets [8]. Further study was carried out by Haiko Muller [4]. In this ...  Read More