Journal of Ultra Scientist of Physical Sciences - A
Voulume: 29
Issue: 1
Article No. 1
Multiplicative Connectivity Indices of Nanostructures

Department of Mathematics Gulbarga University, Gulbarga 585 106 Karnataka, India

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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

Keyword : Multiplicative indices, molecular graphs, linear [n] anthracene, V-anthracene nanotube, V-antracene nanotori.Mathematics Subject Classification: 05C05, 05C07, 05C35
Paper Download Count : 967
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Article No. 2
On b-Chromatic Number fora Certain Triangular Line graphs

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

Corresponding Author

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.

Keyword : b-chromatic, triangular line graph, cycles, coloring,
Paper Download Count : 695
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Article No. 3
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

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

Corresponding Author

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

Keyword : visco-elastic, Rivlin-Ericksen (1955), fluid, unsteady flow
Paper Download Count : 649
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Article No. 4
Results on Accurate Edge Domination Number in Graphs

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.

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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

Keyword : Accurate edge dominating set, Accurate edge Dominating set. Mathematics Subject Classification: 05C,05C05, 05C70
Paper Download Count : 606
View Count : 1136
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Article No. 5
On Tricomplex Representation Methods of A Matrix Trace Inequality

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:-

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<tr (A*B)n<(trA)n *(trB)n is established, where n is an integer. The above inequality improves the result given by Yang (J Math. Anal. Appl. 250 (2000), 372-374

Keyword : Product of quaternion matrix, positive semi definite, positive definite, Hermitian matrix
Paper Download Count : 689
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Article No. 6
Characterizations of conjugate unitary matrices

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:-,

Abstract :

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

Keyword : unitary matrix, secondary transpose of a matrix, conjugate secondary transpose of a matrix, conjugate unitary matrix. Mathematics Subject Classification: 15A09, 15A57
Paper Download Count : 670
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Article No. 7
Irresoluteness via binary supra topological spaces

1,2School of Mathematics, Madurai Kamaraj University, Madurai, Tamil Nadu (India)
Corresponding Author Email:-,

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

Keyword : Supra topology, Binary topology, Binary continuous, irresolute mappings, completely -irresolute
Paper Download Count : 685
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Article No. 8
Operations On Strict Fuzzy Graphs and Dominant Fuzzy Graphs

Department of Mathematics Indian Institute of Technology, Chennai – 36

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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

Keyword : Strict fuzzy graphs, dominant fuzzy graphs, vertex-edge matrix of fuzzy graph
Paper Download Count : 603
View Count : 981
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