|
On Tades of
Transformed Tree
and Path Related
Graphs
A. Lourdusamy (1) and F. Joy Beaula (2)
(1) Department
of Mathematics,
St. Xavier’s
College
(Autonomous),
Palayamkottai-627002,
Tamil Nadu,
India
Email address:
lourdusamy15@gmail.com
(2) Reg. No :
20211282092004,
Research Scholar,
Center: PG and
Research
Department of
Mathematics, St.
Xavier’s College
(Autonomous),
Palayamkottai-627002,
Manonmaniam
Sundaranar
University,
Abisekapatti-627012,
Tamilnadu, India
Email address:
joybeaula@gmail.com
Doi :
https://doi.org/10.47013/17.1.8
Cited by :
Jordan J. Math &
Stat.,
17 (1) (2024),
129 - 143
PDF
Received on:
Nov. 7,
2022;
Accepted
on: April 2,
2023
Abstract. Given a
graph G.
Consider a total
labeling ξ : V ⋉
E → {1, 2, . . .
, k}. Let e = xy
and f = uv be
any two
different edges
of G. Let wt(e)⋉wt(f)
where wt(e) = |ξ(e)−ξ(x)−ξ(y)|.
Then ξ is said
to be edge
irregular total
absolute
difference
k-labeling of G.
Then the total
absolute
difference edge
irregularity
strength of G,
tades (G), is
the least number
k such that
there is an edge
irregular total
absolute
difference
k-labeling for
G. Here, we
study the tades
(G) of Tp-tree
and path related
graphs.
Keywords: Total absolute
difference edge
irregularity
strength, Tp-tree,
Key graph.
|
