In this work we give an alterative proof of one of basic properties of zonal polynomials and generalised it for Jack polynomials

the notion of strong arcs in a fuzzy graph was introduced bybhutani and rosenfeld in [1] and fuzzy end nodes in the subsequent paper[2] using the concept of strong arcs. in mordeson and yao [7], the notion of“degrees” for concepts fuzzified from graph theory were defined and studied.in this note, we discuss degrees for fuzzy end nodes and study further someproperties of fuzzy end nodes and fuzz...

lymph node dissection is of prime importance for accurate staging of colorectal carcinomas. since a great number of small lymph nodes are missed in the traditional method, several fat clearing solutions have been introduced for easier detection of smaller lymph nodes. in this study we evaluated the efficacy of a new fat clearing solution so-called lymph node revealing solution (lnrs) in colecto...

background: the sentinel lymph node (sln) is defined as the first chain node in the lymphatic basin that receives primary lymphatic flow. if the sln is negative for metastatic disease, then other nodes are expected to be disease-free. sln techniques have been extensively applied in the staging and treatment of many tumors, including melanoma, breast and vulvar cancers. this study aims to evalua...

background: sentinel lymph node biopsy (slnb) has replaced axillary lymph node dissection (alnd) in early breast cancer patients as the first line surgical approach to axillary nodes. further dissection is performed only when sln is involved by tumor cells. however, in a significant proportion of patients, non-sentinel nodes are still not involved and axillary dissection has no additional thera...

In this paper we establish several polynomials similar to Bernstein's polynomials and several refinements of  Hermite-Hadamard inequality for convex functions.

let g = (v, e) be a simple graph. hosoya polynomial of g isd(u,v)h(g, x) = {u,v}v(g)x , where, d(u ,v) denotes the distance between vertices uand v. as is the case with other graph polynomials, such as chromatic, independence anddomination polynomial, it is natural to study the roots of hosoya polynomial of a graph. inthis paper we study the roots of hosoya polynomials of some specific graphs.

in this paper, we give some determinantal and permanental representations of generalized lucas polynomials, which are a general form of generalized bivariate lucas p-polynomials, ordinary lucas and perrin sequences etc., by using various hessenberg matrices. in addition, we show that determinant and permanent of these hessenberg matrices can be obtained by using combinations. then we show, the ...

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.

background: in this study we evaluated the prognostic impact of metastatic lymph node ratio (mlr) in patients with gastric cancer undergoing curative surgical resection. methods: a total of 121 patients with gastric adenocarcinoma undergoing curative r0 surgical resection in our institutions between 2003 and 2010 were included in this study.  mlr was classified into 3 groups as follows: mlr0; 0...