The Wiener index W (G) of a connected graph G is defined as W (G) = ∑ u,v∈V (G) dG(u, v) where dG(u, v) is the distance between the vertices u and v of G. For S ⊆ V (G), the Steiner distance d(S) of the vertices of S is the minimum size of a connected subgraph of G whose vertex set is S. The k-th Steiner Wiener index SWk(G) of G is defined as SWk(G) = ∑ S⊆V (G) |S|=k d(S). We establish expressi...

We examine how corporate transparency and financing choices differ for family and nonfamily firms in the S&P 1500 Index. While transparency on average is better for firms in the S&P 500 Index than for firms in the S&P MidCap 400 and S&P SmallCap 600 indices, the improvement is much larger for family firms. Outside the S&P 500, family firms are less transparent than their non-family counterparts...

the edge detour index polynomials were recently introduced for computing theedge detour indices. in this paper we nd relations among edge detour polynomials for the2-dimensional graph of tuc4c8(s) in a euclidean plane and tuc4c8(s) nanotorus.

the main purpose of this paper is to present methods and recent development in the literature of intra industry trade (iit) measuring. the case study also is carried out for iranian manufacturing industries during time period 1997-2003. for this, iran's foreign trade data was collected, processed, and then used to estimate iit indices with respect to recent literature developments in iit m...

Although the nitrogen nutrition index (NNI) is a widely used indicator of plant nitrogenstatus, no model of NNI calculation for spring barley (Hordeum vulgare) reflecting also specificmalting requirements on grain has been published. The aim of this study was to determinean optimal range of the nitrogen nutrition index (ratio of nitrogen concentration in shootbiomass to critical nitrogen concen...

The aim of this research was to study S-ovalbumin as a reference index for the freshness of commercial shell eggs in terms of equivalent egg age. The S-ovalbumin content, yolk index, albumen pH, and Haugh units were determined at the storage temperature of 25 and 37°C, respectively, using 85 fresh-laid eggs. A correlation analysis showed a high correlation coefficient of S-ovalbumin content to ...

The edge detour index polynomials were recently introduced for computing the edge detour indices. In this paper we find relations among edge detour polynomials for the 2-dimensional graph of $TUC_4C_8(S)$ in a Euclidean plane and $TUC4C8(S)$ nanotorus.