Construction of PBIB designs through chosen lines and Triangles of graphs
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 8, Issue 1
Abstract
In this paper, we have constructed partially balanced incomplete block (PBIB) designs with two and three associate classes by establishing a link between PBIB designs and graphs through the chosen lines and number of triangles. We have considered six configurations for this purpose and constructed four two associate class PBIB designs and two three class PBIB designs.
Authors and Affiliations
Davinder Kumar Garg , Syed Aadil Farooq
An Upper Bound of an Achromatic Index of K14 is 43
Achromatic Indices A(Kn) of complete graphs on n vertices are not known in general. It is known that A(K14) ≤ 44.In this paper we have tightened the upper bound of A(K14) to 43.
The Analysis Solutions for Two-Dimensional Fractional Diffusion Equations with Variable Coefficients
This paper deals with a fractional diffusion equation with variable coefficients developed by a non-local method with temporal and spatial correlations. The time-fractional derivative is described in the Caputo sense whi...
Bayesian Analysis of Extended Lomax Distribution
In this paper, the Markov chain Monte Carlo (MCMC) method is used to estimate the parameters of Extended Lomax distribution, based on a complete sample. The proposed methodology can be used to obtain the Bayes estimates...
(g*p)*-Closed Sets In Topological Spaces
In this paper, we have introduced a new class of sets called (g*p)*-closed sets which is properly placed in between the class of closed sets and the class of g-closed sets. As an application, we introduce two new spaces...
Equivariant Estimation of the Parameter of a Location Model Based on General Progressive Type II Right Censored Sample
In this paper, by assuming that a general progressive Type II right censored sample is available, we obtain Minimum Risk Equvariant (MRE) estimator for the parameter of the exponential model in three situations. These ge...