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On ‎c‎omputing the general Narumi-Katayama index of some ‎graphs

‎The Narumi-Katayama index was the first topological index defined‎ ‎by the product of some graph theoretical quantities‎. ‎Let $G$ be a ‎simple graph with vertex set $V = {v_1,ldots‎, ‎v_n }$ and $d(v)$ be‎ ‎the degree of vertex $v$ in the graph $G$‎. ‎The Narumi-Katayama ‎index is defined as $NK(G) = prod_{vin V}d(v)$‎. ‎In this paper,‎ ‎the Narumi-Katayama index is generalized using a $n$-ve...

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Some new bounds on the general sum--connectivity index

Let $G=(V,E)$ be a simple connectedgraph with $n$ vertices, $m$ edges and sequence of vertex degrees$d_1 ge d_2 ge cdots ge d_n>0$, $d_i=d(v_i)$, where $v_iin V$. With $isim j$ we denote adjacency ofvertices $v_i$ and $v_j$. The generalsum--connectivity index of graph is defined as $chi_{alpha}(G)=sum_{isim j}(d_i+d_j)^{alpha}$, where $alpha$ is an arbitrary real<b...

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On the lower and upper bounds for general Randić index of chemical (n,m)-graphs

A chemical (n,m)-graph is a connected graph of order n, size m and maximum degree at most 4. The general Randić index of a graph is defined as the sum of the weights [d(u)d(v)]α of all edges uv of the graph, where α is any real number and d(u) is the degree of a vertex u. In this paper, we give the lower and upper bounds for general Randić index of chemical (n,m)-graphs. A graph of order n and ...

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PI3K At The Clinical Crossroads | Cover Story | Chemical & Engineering News

PI3 kinases are obvious targets for researchers developing cancer drugs. Formally known as phosphatidylinositol-3 kinases, the enzymes are involved in a laundry list of functions that contribute to the ability of cells to thrive. By adding a phosphate to signaling molecules, they set off a chain reaction that can lead to protein synthesis, cell survival, cell migration, and blood vessel growth....

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ژورنال

عنوان ژورنال: Nature

سال: 1913

ISSN: 0028-0836,1476-4687

DOI: 10.1038/091394a0