the reverse degree distance of a connected graph $g$ is defined in discrete mathematical chemistry as [ r (g)=2(n-1)md-sum_{uin v(g)}d_g(u)d_g(u), ] where $n$, $m$ and $d$ are the number of vertices, the number of edges and the diameter of $g$, respectively, $d_g(u)$ is the degree of vertex $u$, $d_g(u)$ is the sum of distance between vertex $u$ and all other vertices of $g$, and $v(g)$ is the ...

The inflation $G_{I}$ of a graph $G$ with $n(G)$ vertices and $m(G)$ edges is obtained from $G$ by replacing every vertex of degree $d$ of $G$ by a clique, which is isomorph to the complete graph $K_{d}$, and each edge $(x_{i},x_{j})$ of $G$ is replaced by an edge $(u,v)$ in such a way that $uin X_{i}$, $vin X_{j}$, and two different edges of $G$ are replaced by non-adjacent edges of $G_{I}$. T...

the purpose of this study was to describe the feasibility of a combined preoperative chemoradiation program ib-iia, bulky and suspicious iib by radical surgery in patients with stage ib-iib cervical cancer. from september 1999 to april 2002, 30 patients with carcinoma of the cervix were treated with preoperative external beam radiotherapy of 45 gy in 5 weeks. patients received concurrent contin...

breast sarcomas have relatively been rare and accounted for 1% of all primary malignant tumors of the breast. pure and primary chondrosarcoma of the male breast would be an extremely rare tumor. it might arise either from the breast stroma itself, or from underlying bone or cartilage. a 65-year-old man has presented with a rapidly growing breast mass since 5 months. physical examination has est...

trichomoniasis, the most widespread sexually transmitted disease is caused by trichomonas vaginalis. this parasite is site specific for the genitourinary tract and recruitment of macrophages as well as polymorphonuclear nutrophils (pmn) to the site of infection is the first line of defense as a component of non-specific resistance and immunity. in this study, balb/c mice were infected with 10 i...

the edge szeged index is a new molecular structure descriptor equal to the sum of products mu(e)mv(e) over all edges e = uv of the molecular graph g, where mu(e) is the number of edges which its distance to vertex u is smaller than the distance to vertex v, and nv(e) is defined analogously. in this paper, the edge szeged index of one-pentagonal carbon nanocone cnc5[n] is computed for the first ...

The forgotten topological coindex (also called Lanzhou index) is defined for a simple connected graph G as the sum of the terms du2+dv2 over all non-adjacent vertex pairs uv of G, where du denotes the degree of the vertex u in G. In this paper, we present some inequalit...

Let k ≥ 1 be an integer, and let G be a finite and simple graph with vertex set V (G). A signed total Italian k-dominating function (STIkDF) on a graph G is a functionf : V (G) → {−1, 1, 2} satisfying the conditions that $sum_{xin N(v)}f(x)ge k$ for each vertex v ∈ V (G), where N(v) is the neighborhood of $v$, and each vertex u with f(u)=-1 is adjacent to a vertex v with f(v)=2 or to two vertic...