Category: Issue 1

Issue 1, Volume 29

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...

Issue 1, Volume 29

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...

Issue 1, Volume 29

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...

Issue 1, Volume 29

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...

Issue 1, Volume 29

On Tricomplex Representation Methods of A Matrix Trace Inequality

K. GUNASEKARAN1, K. KANNAN2 and M. RAHAMATHUNISHA3
1,3Ramanujan Research Centre, P.G. and Research Department of Mathematics, Government Arts College (Autonomous), Kumabakonam – 612002 Tamil Nadu India
2Department of Mathematics and Statistics University of Jaffna, Jaffna, Sri Lanka

Corresponding Author Email:- srnisha.phdpmu@gmail.com

ABSTRACT:

In this paper, on tricomplex representation methods of a matrix trace inequality is introduced. A matrix trace inequality for positive semi definite Hermitian matrices A and B, 0

KEYWORDS: Product of quaternion matrix, positive semi definite, positive definite, Hermitian matrix


In this paper, on tricomplex representation methods of a matrix trace inequality is introduced. A matrix trace inequality for positive semi definite Hermitian matrices A and B, 0<tr (A*B)n<(trA)n...

Issue 1, Volume 29

Characterizations of conjugate unitary matrices

A. GOVINDARASU1 and S. SASSICALA2
1Associate Professor inMathematics, A.V.C. College (Autonomous), Mannampandal – 609 305 Tamil Nadu, (India)
2Assistant Professor in Mathematics, A.V.C. College (Autonomous), Mannampandal – 609 305, Tamil Nadu, (India)

Corresponding Author Email:- sasram10@gmail.com,

ABSTRACT:

The concept of conjugate unitary matrices is introduced. Characterizations of conjugate unitary matrices are
obtained and derived some theorems.

KEYWORDS: unitary matrix, secondary transpose of a matrix, conjugate secondary transpose of a matrix, conjugate unitary matrix. Mathematics Subject Classification: 15A09, 15A57


The concept of conjugate unitary matrices is introduced. Characterizations of conjugate unitary matrices are obtained and derived some theorems.

Issue 1, Volume 29

Irresoluteness via binary supra topological spaces

M. LELLIS THIVAGAR1 and J. KAVITHA2
1,2School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu (India)
Corresponding Author Email:- mlthivagar@yahoo.co.in, kavi.asm08@gmail.com

ABSTRACT:

In this paper we introduce the new class of functions called binary supra -irresolute functions and deals with the concrete examples. The purpose of the present note is to introduce a strong form of binary supra continuity called binary supra strongly -irresolute which is stronger than binary supra -irresolute. Basic and some comparitive properties of these fuctions are studied in this paper

KEYWORDS: Supra topology, Binary topology, Binary continuous, irresolute mappings, completely -irresolute


In this paper we introduce the new class of functions called binary supra -irresolute functions and deals with the concrete examples. The purpose of the present note is to...

Issue 1, Volume 29

Operations On Strict Fuzzy Graphs and Dominant Fuzzy Graphs

VASANTHA KANDASAMY W.B. and REGIN THANGARAJ
Department of Mathematics Indian Institute of Technology, Chennai – 36

Corresponding Author Email: vasanthakandasamy@gmail.com

ABSTRACT:

In this paper, the authors study the various properties enjoyed by strict and dominant fuzzy graphs introduced in3, by the authors. The usual operations on these fuzzy graphs are not extendable. For the first time such deviant nature is analysed

KEYWORDS: Strict fuzzy graphs, dominant fuzzy graphs, vertex-edge matrix of fuzzy graph


In this paper, the authors study the various properties enjoyed by strict and dominant fuzzy graphs introduced in3, by the authors. The usual operations on these fuzzy graphs are...