Bulletin of the International Mathematical Virtual Institute

1-9

Authors: R. Ponraj and Rajpal Sings

Let G be a (p; q) graph. Let f : V (G) ! f1; 2; : : : ; kg be a function. For each edge uv, assign the label gcd (f(u); f(v)). f is called k-prime cordial labeling of G if  vf (i)

21-35

Authors: Arzu Denk Oguz and Fatma Serap Topal

By employing the Schauder's fixed point theorem, we study the existence of positive solutions for a singular semipositone dynamic system on time scales. New existence results are established, which is in essence different from the known results.

45-53

Authors: M. Murali Krishna Rao

In this paper, we introduce the notion of left (right) bi-quasi ideal and bi-quasi ideal of semiring which are generalizations of bi-ideal and quasi ideal of semiring. Also we study the properties of bi-quasi ideals, left bi-quasi ideals and characterize the left bi-quasi simple semring and regular semiring.

67-80

Authors: P. Jeyanthi and T. Saratha Devi

An injective map f : E(G) ! f1;2;


;qg is said to be an edge pair sum labeling of a graph G(p; q) if the induced vertex function f : V (G) ! Z

89-97

Authors: R.Ponraj, Rajpal Singh and R. Kala

Let G be a (p, q) graph. Let f : V (G) ! {1, 2, . . . , k} be a function. For each edge uv, assign the label gcd (f(u), f(v)). f is called k-prime cordial labeling of G if  vf (i) − vf (j) 6 1, i, j 2 {1, 2, . . . , k} and  ef (0) − ef (1) 6 1 where vf (x) denotes the number of vertices labeled with x, ef (1) and ef (0) respectively denote the number of edges labeled with 1 and not labeled with 1. A graph with admits a k-prime cordial labeling is called a k-prime cordial graph. In this paper we investigate 4-prime cordial labeling behavior of union of two bipartite graphs, union of trees, durer graph, tietze graph, planar grid Pm × Pn, subdivision of wheels and subdivision of helms.

113-122

Authors: Edward Neuman

Optimal inequalities involving the p-Yang means are established. Bounding quantities are either the arithmetic or geometric or the harmonic combinations of the p-geometric and the p-quadratic means.

135-143

Authors: Arslan Hojat Ansari and Rajinder Sharma

This study deals with an establishment of some common xed point theorems for weak sub sequential continuous and compatibility of type (E) maps via C-class functions in a non Archimedean Menger Probabilistic Metric space.

155-159

Authors: Rakshith B. R.

In this note, we give an upper bound for degree distance index of a graph in terms of vertex Padmakar-Ivan index, rst Zagreb index, diameter and number of triangles. Also, we give a lower bound for degree distance index of a graph in terms of vertex Padmakar-Ivan index and number of triangles.

169-176

Authors: P Muralikrishna and D Vijayan

This paper discuss Fuzzy SU-ideal Topological Structure on SU-algebras, by connecting the two notions SU-algebras and Fuzzy Topology.

189-202

Authors: Marapureddy Murali Krishna Rao

In this paper we study the properties of structures of the semi-group (M; +) and the G-semigroup M of field G-semiring M, totally ordered G-semiring M and totally ordered field G-semiring M satisfying the identity a + ab = a for all a; b 2 M;  2