The Merrifield-Simmons index of a graph is defined as the total number of the independent sets of the graph and the Hosoya index of a graph is defined as the total number of the matchings of the graph. In this paper, we give formula for Merrifield-Simmons and Hosoya indices of some classes of cartesian product of two graphs K{_2}×H, where H is a path graph P{_n}, cyclic graph C{_n}, or star gra...

The inflated beta regression model aims to enable the modeling of responses in the intervals (0,1], [0,1) or [0,1]. In this model, hypothesis testing is often performed based on the likelihood ratio statistic. The critical values are obtained from asymptotic approximations, which may lead to distortions of size in small samples. In this sense, this paper proposes the bootstrap Bartlett correcti...

‎in this paper we give a characterization for all commutative‎ ‎rings with $1$ whose zero-divisor graphs are $c_4$-free.‎

We propose an approach for constructing compact payloads with low mass that can erect very large and strong structures. This technology would enable payloads small enough to launch that can become self-contained orbital habitats, large buildings on planetary surfaces, or other large structures that require significant strength. Our approach uses inflated bubble structures and suspended films wh...

This paper is concerned with the analysis of zero-inflated count data when time of exposure varies. It proposes a modified zero-inflated count data model where the probability of an extra zero is derived from an underlying duration model with Weibull hazard rate. The new model is compared to the standard Poisson model with logit zero inflation in an application to the effect of treatment with t...

CASE REPORT A 52year old man with benign prostatic hyperplasia presented to us with retained cut end of a Foleys catheter with inflated bulb in his urinary bladder. He was catheterized for one month and the bulb could not be deflated as the catheter was due for change. In a hospital, an attempt was made to deflate the bulb. Accidentally, Foleys catheter was cut and distal end with the inflated ...

This paper is concerned with the analysis of zero-inflated count data when time of exposure varies. It proposes a new zero-inflated count data model that is based on two homogeneous Poisson processes and accounts for exposure time in a theory consistent way. The new model is used in an application to the effect of insurance generosity on the number of absent days. JEL Classification: J29, C25