Bulletin of the International Mathematical Virtual Institute

1-11

Authors: Mirjana Ilić

This is a short overview on gentzenization of some distributive contraction{less relevant logics. We analyze problems which may occur in formulating sequent calculi for the logics RW+ and RW and we give their solutions, the well{known as well as some recent ones.

25-36

Authors: K. R. Prasad; B. M. B. Krushna and L. T. Wesen

In this paper, we investigate sufficient conditions for the existence of at least three positive solutions to the Riemann{Liouville fractional order three-point boundary value problems by means of fixed point theorem. We also establish the existence of at least 2m - 1 positive solutions to the boundary value problems for an arbitrary positive integer m.

49-54

Authors: K. M. Dharmalingam and M. Rani

Let G be a fuzzy graph. Let D be a subset of V . D is said to be a fuzzy total equitable dominating set if for all x 2 V , there exists y 2 D such that y is adjacent to x and y is fuzzy degree equitable with x. If G has no fuzzy equitable isolated point then V is fuzzy total equitable dominating set. For such graphs, the minimum cardinality of a fuzzy total equitable dominating set is called the fuzzy total equitable domination number and is denoted by ef t (G). In this paper we introduce the concept of a fuzzy total equitable dominating set, minimal fuzzy total equitable dominating set and obtain some interesting results for these new parameter in total equitable domination in fuzzy graphs.

65-76

Authors: A.S.Saluja, Mukesh Kumar Jain and S. Manro

In this paper we introduce the concept of g-compatible mapping, f-compatible mapping, absorbing mappings and compatible mappings of type (E) in the setting of G-metric space and establish some examples to show their independency. Further we prove some fixed point theorems for weak semi compatibility which also includes property E.A. Our results are actually generalization of results of Manro [9].

89-96

Authors: M. Saravanan, R. Sujatha and R. Sundareswaran

In this paper, integrity of fuzzy graph is defined. Integrity of special types of graphs with constant node strength and node strength sequences as (pn-1,1 , p2) is discussed. Also, integrity of regular fuzzy graph and complete fuzzy graph is presented.

105-113

Authors: Jeyakokila S.P. and Sumathi P.

Let G be a nite non trivial connected graph.In the earlier paper idegree, odegree, oidegree of a minimal dominating set of G were introduced, oEnergy of a graph with respect to the minimal dominating set was calculated in terms of idegree and odegree. Algorithm to get the soEnergy was also introduced and soEnergy was calculated for some standard graphs in the earlier papers. In this paper soEnergy of stars, bistars and double stars with respect to the given dominating set are found out.