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)
Author = Ponraj, R.
Number of Articles: 21
4-TOTAL MEAN CORDIAL LABELING OF SOME TREES
Articles in Press, Accepted Manuscript, Available Online from 30 September 2024
Abstract
Let G be a graph. Let f : V (G) → {0, 1, 2,... ,k − 1} be a function where k ∈ N and k > 1. For each edge uv, assign the label f (uv) = l f(u)+f(v) 2 m . f is called a k-total mean cordial labeling of G if |tmf (i) − tmf (j)| ≤ 1, for all i,j ∈ {0, 1, 2,... ,k − ... Read More$4$-total mean cordial labeling of spider graph
Volume 55, Issue 1 , June 2023, , Pages 1-9
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 a $k$-total mean cordial ... Read MorePair Difference Cordial Labeling of Double Alternate Snake Graphs
Volume 55, Issue 1 , June 2023, , Pages 67-77
Abstract
In this paper we investigate the pair difference cordial labeling behavior of double alternate triangular snake and double alternate quadrilatral snake graphs. Read MorePair Difference Cordial Labeling of $m-$ copies of Path, Cycle, Star, and Ladder Graphs
Volume 54, Issue 2 , December 2022, , Pages 37-47
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 MorePair mean cordial labeling of graphs
Volume 54, Issue 1 , June 2022, , Pages 1-10
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 $K_{2,n}$
Volume 54, Issue 1 , June 2022, , Pages 35-46
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 MorePair difference cordial labeling of planar grid and mangolian tent
Volume 53, Issue 2 , December 2021, , Pages 47-56
Abstract
Let $G = (V, E)$ be a $(p,q)$ graph.Define \begin{equation*}\rho =\begin{cases}\frac{p}{2} ,& \text{if $p$ is even}\\\frac{p-1}{2} ,& \text{if $p$ is odd}\\\end{cases}\end{equation*}\\ and $L = \{\pm1 ,\pm2, \pm3 , \cdots ,\pm\rho\}$ called the set of labels.\noindent Consider a mapping ... Read More$4$-total mean cordial labeling of special graphs
Volume 53, Issue 1 , June 2021, , Pages 13-22
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 MoreAn Alternative Proof for a Theorem of R.L. Graham Concerning CHEBYSHEV Polynomials
Volume 53, Issue 1 , June 2021, , Pages 117-122
Abstract
In this paper, an alternative proof is provided for a theorem of R.L.Graham concerning Chebyshev polynomials. While studying the properties of a double star, R.L.Graham [2] proved a theorem concerning Chebyshev polynomials of the first kind ${T_n (x)}$. The purpose of this paper is to provide an ... Read MorePair Difference Cordiality of Some Snake and Butterfly Graphs
Volume 53, Issue 1 , June 2021, , Pages 149-163
Abstract
\noindent Let $G = (V, E)$ be a $(p,q)$ graph.\\Define \begin{equation*}\rho =\begin{cases}\frac{p}{2} ,& \text{if $p$ is even}\\\frac{p-1}{2} ,& \text{if $p$ is odd}\\\end{cases}\end{equation*}\\ and $L = \{\pm1 ,\pm2, \pm3 , \cdots ,\pm\rho\}$ called the set of labels.\\\noindent Consider ... Read More$4$-total mean cordial labeling in subdivision graphs
Volume 52, Issue 2 , December 2020, , Pages 1-11
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 ... Read MorePD-prime cordial labeling of graphs
Volume 51, Issue 2 , December 2019, , Pages 1-7
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
Volume 51, Issue 1 , June 2019, , Pages 121-128
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$4$-Total prime cordial labeling of some cycle related graphs
Volume 50, issue 2 , December 2018, , Pages 49-57
Abstract
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 $G$ if $\left|t_{f}(i)-t_{f}(j)\right|\leq 1$, $i,j \in \{1,2, \cdots,k\}$ where $t_{f}(x)$ ... Read More$k$-Total prime cordial labeling of graphs
Volume 50, Issue 1 , June 2018, , Pages 143-149
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 Morek-Remainder Cordial Graphs
Volume 49, Issue 2 , December 2017, , Pages 41-52
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 MoreRemainder Cordial Labeling of Graphs
Volume 49, Issue 1 , June 2017, , Pages 17-30
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 MoreA note on 3-Prime cordial graphs
Volume 48, Issue 1 , December 2016, , Pages 45-55
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 More4-Prime cordiality of some classes of graphs
Volume 48, Issue 1 , December 2016, , Pages 69-79
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 More3-difference cordial labeling of some cycle related graphs
Volume 47, Issue 1 , June 2016, , Pages 1-10
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 MoreFurther results on total mean cordial labeling of graphs
Volume 46, Issue 1 , December 2015, , Pages 73-83