

Latest
Issue
Volume
14, No.
4,
December 2021
Articles 


Metric
Dimension of
InduBala
Product of
Graphs
In a simple
connected
graph A, a
set of
vertices A′
resolves A
if every
vertex of A
is uniquely
represented
by its
vector of
distances to
the vertices
in A′.
A resolving
set
containing
the smallest
number of
vertices is
known as
basis for A
and its
cardinality
is called
metric
dimension of
A. The
InduBala
product A_{1}▼A_{2
}of
graphs A_{1}
and A_{2}
is obtained
from two
disjoint
copies of A_{1}
+ A_{2}
by joining
the
corresponding
vertices in
the two
copies of A_{2}.
In this
paper, we
derive the
metric
dimension of
InduBala
product of
some
families of
graphs.


Shehnaz Akhter
Rashid Farooq
JJMS,
2021, 14(4),
581605

The
main
purpose
of
this
paper
is
to
propose
a
block
by
block
method
for
a
class
of
the
Volterra
integral
equations
(VIEs)
with
double
constant
delays.
The
convergence
analysis
is
established
and
the
fifth
order
of
convergence
is
obtained.
Then
the
stability
analysis
of
the
presented
method
is
carried
out
with
respect
to
the
basic
test
equation
...............


Roghayeh
Katani
Sedaghat
Shahmorad
JJMS,
2021, 14(4),
607636

Strong Modular Sumset Number of Graphs when Vertices are Assigned with Sets of Cardinality Two
For a positive integer n, let Zn be the set of all nonnegative integers
modulo n and P(Zn) be its power set. A graph that admits strong modular sumset labeling is called a strong modular sumset graph. The strong modular sumset number of a graph is the minimum cardinality required for the ground set Zn so that the graph admits a strong modular sumset labeling and hence is a strong modular sumset graph. In this paper, we determine strong modular sumset labeling and the strong modular sumset number of graphs when vertices are assigned with sets of cardinality two.


Udayan M.
Prajapati
K. I. Vyas
JJMS,
2021, 14(4),
637650



Badreddine
Meftah
C. Marrouche
JJMS,
2021, 14(4),
651669

A Symbolic Method for Finding Approximate Solution of Neutral FunctionalDifferential Equations with Proportional Delays
This paper presents a new symbolic method for finding an approximate solution of neutral functionaldifferential equations with proportional delays having variable coefficients in an algebraic setting. In several cases exact solution is obtained. This method is easy to apply for solving the multipantograph equations with variable coefficients. We introduce iterative operator. In the proposed method,
the given problem is transformed into an operator based notation and again the solution of operator problem is translated into the solution of the given problem.
The Maple implementation of the proposed algorithm is presented with sample computations. Various numerical examples are discussed to illustrate the efficiency of the proposed method, and comparisons are made to confirm the reliability of the method.


Srinivasarao
Thota
Shiv Datt
Kumar
JJMS,
2021, 14(4),
671689

Almost MPrecontinuous Functions In Biminimal Structure Spaces
In this article, we define almost MPrecontinuous functions in biminimal structure spaces by using the concept of Mpreopen sets. We have investigated some properties. We have proved some equivalent relations between some properties. We have studied the relationship of this type of functions with some other various existing functions together with δopen sets.


Anjalu Albis
Basumatary
Digatna
Jyoti Sarma
Binod
Chandra
Tripathy
JJMS,
2021, 14(4),
691706

Converting
the
properties
in B(H) by
operators on
B(H)
The pair of
operators on
B(H) which
are related
to each
other with
respect to a
specific
property on
B(H), have
been studied
before. In
this paper,
we study a
pair of
operators
ϕ1, ϕ2 on
B(H) which
can convert
some
suitable
properties
to each
other. For
instance, we
show that
ϕ1(T ) is a
compact
operator if
and only if
ϕ2(T ) is
compact,
whenever
ϕ1(T ) is a
Fredholm
operator if
and only if
ϕ2(T ) is a
semiFredholm
operator.


E.
Ansaripiri
R. G. Sanati
S. Parsania
JJMS,
2021, 14(4),
707719

On some
Properties
of Weakly
Prime
SemiIdeals
of Posets
In this
paper, we
discuss some
properties
of direct
product of
weakly
prime
semiideals
of P1×P2
where P1 and
P2 are
partially
ordered sets
(posets). We
also find an
equivalence
condition
for a
semiideal
to be weakly
prime.
Further we
show that
the
semiideals
are prime
provided the
direct
product P of
semiideals
is a weakly
prime
semiideal
of P, and
the
intersection
of n
distinct
prime
semiideals
of P is a
weakly
(n+1)prime
semiideal
of P. 

K. Porselvi
B.
Elavarasan
JJMS,
2021, 14(4),
721730

Uniqueness
and Two
Shared Set
Problems of
LFunction
and Certain
Class of
Meromorphic
Function
Starting
with a
question of
YuanLiYi
[Value
distribution
of
Lfunctions
and
uniqueness
questions of
F. Gross,
Lithuanian
Math. J.,
58(2)(2018),
249262] we
have studied
the
uniqueness
of a
meromorphic
function f
and an
Lfunction L
sharing two
finite sets.
At the time
of execution
of our work,
we have
pointed out
a serious
lacuna in
the proof of
a recent
result of a
of
SahooHalder
[ Some
results on
Lfunctions
related to
sharing two
finite sets,
Comput.
Methods
Funct.
Theo.,
19(2019),
601612]
which makes
most of the
part of the
SahooHalder’s
paper under
question. In
context of
our choice
of sets, we
have
rectified
SahooHalder’s
result in a
convenient
manner.


Abhijit
Banerjee
Arpita Kundu
JJMS,
2021, 14(4),
731754

A Note on
Two Classes
of
Hyperideals
Let R be a
commutative
multiplicative
hyperring
with 1. In
this paper,
we define
the concepts
of rhyperideal
and nhyperideal
of the
hyperring R
which are
two new
classes of
hyperideals.
Several
properties
of them are
provided. A
hyperideal I
of a
multiplicative
hyperring R
is called an
rhyperideal
of R,
....................... 

M. Anbarloei
JJMS,
2021, 14(4),
755775

Super Face
Magic
Labeling of
Subdivided
Prism Graph
This paper
is about the
problems of
labeling
vertices,
edges and
faces
of
subdivided
prism graph.
We show that
the
generalized
rsubdivided
prism Gr,t
without the
central (and
external)
face has a
super
facemagic
total (SFMT
) labeling
of
type(1,1,1).


Shahid Zaman
Jawad Alam
Asma Jabeen
JJMS,
2021, 14(4),
777785

Statistical
Convergence
of Double
Sequences
In this
paper, we
show that a
double
sequence in
a
topological
space
satisfies
certain
conditions,
which are
capable of
generating a
topology on
a nonempty
set. Also,
we used the
idea of
statistical
limit and
statistical
cluster
point to
establish
some
properties
in the sense
of double
sequences.
One of our
main
interest is
to
investigate
the
relationship
between
statistical
limit,
slimit and
statistical
cluster
points of
double
sequences. 

V.
Renukadevi
P.
Vijayashanthi
JJMS,
2021, 14(4),
787808

Computing
Certain
Topological
Indices of
InduBala
Product of
Graphs
The
InduBala
product G1▼G2
of graphs G1
and G2 is
obtained
from two
disjoint
copies of
the join G1
∨ G2 of G1
and G2 by
joining the
corresponding
vertices in
the two
copies of
G2. In this
paper we
obtain the
explicit
formulae for
certain
degree and
distance
based
topological
indices viz.
first Zagreb
index,
second
Zagreb
index, third
Zagreb
index,
Findex,
hyperZagreb
index,
harmonic
index, first
multiplicative
Zagreb
index,
second
multiplicative
Zagreb
index, mod
ified first
multiplicative
Zagreb
index,
Wiener
index,
Harary
index,
sumdegree
distance
index,
productdegree
distance
index,
reciprocal
sumdegree
distance
index and
reciprocal
productdegree
distance
index of
InduBala
product of
graphs.
Also, we
present the
exact value
of the
distance
based
topological
indices of
graph G in
terms of its
order, size
and Zagreb
indices,
when diam(G)
≤ 2.


Shreekant
Patil
B.
Basavanagoud
JJMS,
2021, 14(4),
809830 






