Let $G$ be a graph with vertex set $V(G)$. For any integer $kge 1$, a signed (total) $k$-dominating functionis a function $f: V(G) rightarrow { -1, 1}$ satisfying $sum_{xin N[v]}f(x)ge k$ ($sum_{xin N(v)}f(x)ge k$)for every $vin V(G)$, where $N(v)$ is the neighborhood of $v$ and $N[v]=N(v)cup{v}$. The minimum of the values$sum_{vin V(G)}f(v)$, taken over all signed (total) $k$-dominating functi...

A composition of a positive integer n consists of an ordered sequence of positive integers whose sum is n. We investigate compositions in which the summand 2 is not allowed, and count the total number of such compositions and the number of occurrences of the summand i in all such compositions. Furthermore, we explore patterns in the values for Cj(n, 2̂), the number of compositions of n without 2...

This study aimed to investigate the role of rest period duration (RP) on the time course of the acceleration portion (AP) and mean velocity of the concentric phase across two bench press sets to failure with a submaximal load (60% of the 1RM) using different RP. Ten elite junior kayakers performed, on four different days, two consecutive bench press sets to failure, allowing randomly 1-, 2-, 3-...

the crude oil, crude protein, crude ash, crude fiber, total phenol and antioxidant activity values, peroxide values, specific gravity, the refraxtive index and  acid value of citrullus lanatus and their oils were determined. fatty acid composition of seeds belong to both watermelon were determined by gas chromotography (gc). these oils are important sources of essential fatty acid, linoleic aci...

despite improvements in surgical and anesthetic techniques, total joint arthroplasty (tja) is still associated with substantial blood loss and postoperative anemia (1). a considerable portion of patients with postoperative anemia require blood transfusion, which has been shown to negatively affect the outcome of tja and predisposes patients to development of surgical site infection and peripros...

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 compare the training methods used in two stables and their effects on selected blood parameters and race results. A total number of 36 thoroughbred race horses was examined in two groups, trained by two trainers. Twenty-four horses (group A) were trained at Sluzewiec and the remaining twelve horses (group B) were kept and trained in a private stable. The experim...

background: oral squamous cell carcinoma (oscc) is one of the most common malignant tumors. its incidence is rated as one among the highest in the world and the use of tobacco in various forms is increasingly associated with the cause of oscc. in oral cancer the study of tumor markers have been limited and several tumor makers with clinical promise needs further evaluation. methods: present stu...