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Category: Volume 29

Some New Multiplicative Geometric-Arithmetic Indices

V.R. KULLI
Department of Mathematics Gulbarga University, Gulbarga 585106, India

Corresponding Author Email: vrkulli@gmail.com

ABSTRACT:

In this paper, we propose some new topological indices: second, third, fourth and fifth multiplicative geometricarithmetic indices of a molecular graph. A topological index is a numeric quantity from the structural graph of a molecule. Here, we compute the fifth multiplicative geometric arithmetic index of line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of TUC4C8[p,q].

KEYWORDS: molecular graph, fifth multiplicative geometric-arithmetic index, nanostructures. Mathematics Subject Classification: 05C05, 05C12, 05C35


In this paper, we propose some new topological indices: second, third, fourth and fifth multiplicative geometricarithmetic indices of a molecular graph. A topological index is a numeric quantity from...

Nano Quotient Mappings

1M. LELLIS THIVAGAR and 2 V. SUTHA DEVI
1,2School of Mathematics, Madurai Kamaraj University, Madurai-625021, Tamilnadu, India.

Corresponding Author Email : vsdsutha@yahoo.co.in 2 , mlthivagar@yahoo.co.in1

ABSTRACT:

The purpose of this study is to introduce, define and study several classes of nano quotient map in nano topological spaces. We have initiated the several types of mappings such as nano  -quotient map, nano strongly  – quotient map and nano *-quotient map in nano topological space and its properties are discussed. Also we have made comparisions among them.

KEYWORDS: Nano topology, nano quotient map, nano  -open, nano  -irresolute, nano  * -quotient map. 2010 Ams Subject Classification: 54B05,54CO8


The purpose of this study is to introduce, define and study several classes of nano quotient map in nano topological spaces. We have initiated the several types of mappings...

Mathematical modeling of Friedreich’s ataxia – a genetic neuro-muscular degenerative condition

SWASTI WAGH1 and D.K. WAGH2
1M.Sc. Applied Mathematics from G.S. Institute of Tech. and Sc., Indore, M.P., India
2Ph.D., Retired Prof. of Mathematics from G.S. Institute of Tech. and Sc. ,Indore, M.P., India

Corresponding Author Swasti Wagh :Email; swastiwagh@gmail.com

ABSTRACT:

In this paper we propose a mathematical model of Friedreich’s Ataxia (FA) – a genetic neuro-muscular degenerative condition which causes imbalance, in-coordination and jerky limb movements. These continue to increase till patient loses independence and becomes wheelchair bound. Currently Friedreich’s Ataxia (FA) is not considered an important health problem because of its relatively low prevalence in the general population. However with improvement in health care diagnosis and delivery provisions, more and more people with Friedreich’s Ataxia (FA) are being diagnosed and surviving. This means that its incidence and prevalence is bound to change. We have used a mathematical model to estimate generational increase in the number of patients and carriers with FA. The results portray a scary picture and hence demand measures to take it more seriously by health care providers.

KEYWORDS: Friedreich’s Ataxia, Stochastic matrix, Probability vector, Fixed point


In this paper we propose a mathematical model of Friedreich’s Ataxia (FA) – a genetic neuro-muscular degenerative condition which causes imbalance, in-coordination and jerky limb movements. These continue to...

Multiplicative Connectivity Indices of Nanostructures

V.R. KULLI
Department of Mathematics Gulbarga University, Gulbarga 585 106 Karnataka, India

E-Mail of Corresponding Author : vrkulli@gmail.com

ABSTRACT:

A single number that can be used to characterize some property of the graph of a molecular is called a topological index for that graph. In this paper, we compute several topological indices of linear [n]-anthracene, V-anthracene nanotube and nanotori: multiplicative Zagreb, multiplicative hyper-Zagreb, multiplicative sum connectivity, multiplicative product connectivity, general multiplicative Zagreb, multiplicative ABC and multiplicative GA indices

KEYWORDS: Multiplicative indices, molecular graphs, linear [n] anthracene, V-anthracene nanotube, V-antracene nanotori.Mathematics Subject Classification: 05C05, 05C07, 05C35


A single number that can be used to characterize some property of the graph of a molecular is called a topological index for that graph. In this paper, we...

A Generalized Fixed Point Theorem In dislocated Quasi-Metric Space

MANOJ GARG
P.G. Department of Mathematics, Nehru (P.G.) College, Chhibramau, Kannauj (U.P.) India

Corresponding Author E-mail : garg_manoj1972@yahoo.co.in

ABSTRACT:

In this work, we discuss the existence of fixed points of continuous contracting mappings defined on dislocated quasi-metric space. This work is a continuity of the previous works of Isufati.

KEYWORDS: Fixed point, dislocated quasi-metric space. AMS Subject Classification : 47H10, 54H25


In this work, we discuss the existence of fixed points of continuous contracting mappings defined on dislocated quasi-metric space. This work is a continuity of the previous works of...

On b-Chromatic Number fora Certain Triangular Line graphs

PRALAHAD MAHAGAONKAR
Asso. Professor, in Mathematics, Department of Mathematics, Ballari Institute of Technology and Management,
Ballari Karnataka 583104 India

Corresponding Author Email:-pralahadpralhad@yahoo.com

ABSTRACT:

The b-Chromatic number of a graph is the maximum number of k of colors that can be used to color the vertices of G. Let us consider the color classes for differentline graphs, where every line graphs with i has a representative (the color i dominating vertex) that is able to communicate with all the other line graphs. Further we investigate the b-chromatic number for certain triangular graphs such as triangular snake graphs, triangular fan graphs, triangular cylindrical graphs andwe also generalized some of the results based on these graphs.

KEYWORDS: b-chromatic, triangular line graph, cycles, coloring,


The b-Chromatic number of a graph is the maximum number of k of colors that can be used to color the vertices of G. Let us consider the color...

A New Type Of Generalized Fixed Point Theorem On Compact Metric Space

MANOJ GARG
P.G. Department of Mathematics, Nehru (P.G.) College, Chhibramau, Kannauj (U.P.)

Corresponding Author E-mail : garg_manoj1972@yahoo.co.in

ABSTRACT:

In this paper, we prove a fixed point theorem for self mappings satisfying a new contractive type condition in a compact metric space.

KEYWORDS: Fixed point, compact metric space, fixed point theorem


In this paper, we prove a fixed point theorem for self mappings satisfying a new contractive type condition in a compact metric space.

Flow of A Visco-Elastic Rivlin-Ericksen (1955) Fluid Through Porous Medium in a Long Uniform Rectangular Duct Due to an Impulsive Pressure Gradient Acting at the Central Part of a Section

ANIL TRIPATHI
Department of Mathematics, K.K. (P.G.) College, Etawah (U.P.), India

Corresponding Author Email:-atkkdc@gmail.com

ABSTRACT:

The aim of the present paper is to study the unsteady flow of a visco-elastic Rivlin-Ericksen (1955) type fluid through porous medium in a long uniform rectangular duct under the influence of an impulsive pressure gradient acting at the central part of a section. The analytical expressions for velocity profile and flux have been determined by the application of transform technique. Some particular cases have been discussed in detail. The results for the flow of ordinary viscous fluid have also been deduced by taking parameter

KEYWORDS: visco-elastic, Rivlin-Ericksen (1955), fluid, unsteady flow


The aim of the present paper is to study the unsteady flow of a visco-elastic Rivlin-Ericksen (1955) type fluid through porous medium in a long uniform rectangular duct under...

Computation of Separation Axioms in N-Topology

1M. LELLIS THIVAGAR, 2M. AROCKIA DASAN 3V. RAMESH

1,2,3School of Mathematics, Madurai Kamaraj University Madurai-625 021, Tamil Nadu, India

Corresponding Author 2E-mail : dassfredy@gmail.com

ABSTRACT:

In this paper we introduce and characterize -open sets and derive that this class of -open sets forms a topology on X. We also define the necessary and sufficient condition for a set to be -open set. Further we induce various kinds of spaces in N-topology and its applications.

KEYWORDS: N-topology, - closed, -closed, -closed, -closed. MSC 2010: 54A05,54A99, 54C10


In this paper we introduce and characterize -open sets and derive that this class of -open sets forms a topology on X. We also define the necessary and sufficient...

Results on Accurate Edge Domination Number in Graphs

VENKATESH S.H1 , V.R. KULLI 2 , VENKANAGOUDA M. GOUDAR 3 and VENKATESHA 4
1Research Scholar, Sri Gauthama Research Centre, (Affiliated to Kuvempu University), Sri Siddhartha Institute of Technology, Tumkur, Karnataka, India
2 Department of Mathematics, Gulbarga University, Gulbarga, India
3 Department of Mathematics, Sri Gauthama Research Centre, (Affiliated to Kuvempu University), Sri Siddhartha Institute of Technology, Tumkur, karnataka, India
4 Department of Mathematics, Kuvempu University Shankarghatta, Shimoga, Karnataka, India.

Email address of Corresponding Author: sh1.venkatesh@gmail.com

ABSTRACT:

A edge dominating set F of a graph G = (V , E) is an accurate edge dominating set, if < E  F > has no edge dominating set of cardinality | F | . The accurate edge domination number (G) ae  is the minimum cardinality of an accurate edge dominating set. We study the graph theoretic properties of (G) ae  and its exact values for some standard graphs. The relation between (G) ae  with other parameters are also investigated

KEYWORDS: Accurate edge dominating set, Accurate edge Dominating set. Mathematics Subject Classification: 05C,05C05, 05C70


A edge dominating set F of a graph G = (V , E) is an accurate edge dominating set, if < E  F > has no edge dominating...