SOME PAIR DIFFERENCE CORDIAL GRAPHS

R PONRAJ; Gayathrı A; S SOMASNDARAM

doi:https://doi.org/10.54286/ikjm.926656

Article Details

SOME PAIR DIFFERENCE CORDIAL GRAPHS

Authors:

R PONRAJ | Gayathrı A | S SOMASNDARAM

Publisher:

Nihat AKGÜNEŞ

Main Topics:

Mathematics

Journal:

Ikonion Journal of Mathematics 2021 Vol.3 Issue 2, pp.17-26

Document Type:

Article

Publication Date:

10/2021

Document Language:

English

Document ID (Org No.):

2000468540

Frequency:

Bi-Annual

pISSN:

2687-6531

DOI:

https://doi.org/10.54286/ikjm.926656

Abstract:

 

Let G = (V, E) be a (p, q) graph.
Define
ρ =
( p
2
, if p is even
p−1
2
, if p is odd
and L = {±1, ±2, ±3, · · · , ±ρ} called the set of labels.
Consider a mapping f : V −→ L by assigning different labels in L to the different elements of V when p is even and different labels in L to p-1 elements of
V and repeating a label for the remaining one vertex when p is odd.The labeling as defined above is said to be a pair difference cordial labeling if for each
edge uv of G there exists a labeling |f(u) − f(v)| such that



∆f1 − ∆f
c
1


 ≤ 1,
where ∆f1
and ∆f
c
1
respectively denote the number of edges labeled with
1 and number of edges not labeled with 1. A graph G for which there exists a pair difference cordial labeling is called a pair difference cordial graph.
In this paper we investigate the pair difference cordial labeling behavior of
Pn ⊙ K1,Pn ⊙ K2,Cn ⊙ K1,Pn ⊙ 2K1,Ln ⊙ K1,Gn ⊙ K1, where Gn is a gear
graph and e.

Article Details

SOME PAIR DIFFERENCE CORDIAL GRAPHS

Authors: R PONRAJ | Gayathrı A | S SOMASNDARAM

Publisher: Nihat AKGÜNEŞ

Main Topics: Mathematics

Journal: Ikonion Journal of Mathematics 2021 Vol.3 Issue 2, pp.17-26

Document Type: Article

Publication Date: 10/2021

Document Language: English

Document ID (Org No.): 2000468540

Frequency: Bi-Annual

pISSN: 2687-6531

DOI: https://doi.org/10.54286/ikjm.926656

Issues

Authors:

R PONRAJ | Gayathrı A | S SOMASNDARAM

Publisher:

Nihat AKGÜNEŞ

Main Topics:

Mathematics

Journal:

Ikonion Journal of Mathematics 2021 Vol.3 Issue 2, pp.17-26

Document Type:

Article

Publication Date:

10/2021

Document Language:

English

Document ID (Org No.):

2000468540

Frequency:

Bi-Annual

pISSN:

2687-6531

DOI:

https://doi.org/10.54286/ikjm.926656