the first zagreb index, $m_1(g)$, and second zagreb index, $m_2(g)$, of the graph $g$ is defined as $m_{1}(g)=sum_{vin v(g)}d^{2}(v)$ and $m_{2}(g)=sum_{e=uvin e(g)}d(u)d(v),$ where $d(u)$ denotes the degree of vertex $u$. in this paper, the firstand second maximum values of the first and second zagreb indicesin the class of all $n-$vertex tetracyclic graphs are presented.

objective: osteoporosis is the most common metabolic disease of the bone decreasing bone mineral density (bmd) particularly in postmenopausal women. on the other hand, panoramic radiography has several applications in dentistry. it appears that by calculating some indices on panoramic radiographs, we may be able to predict the risk of osteoporosis in high-risk individuals. the present study was...

In this paper, we are interested in BB knots, namely knots and links whose bridge index braid equal. Supported by observations from experiments, it is conjectured that possess a special geometric/physical property (and might even be characterized it): if the knot realized (closed) springy metal wire, then equilibrium state of wire an almost planar configuration multiple (overlapping) circles. p...