Chemical structures are mathematically modeled using chemical graphs. The graph invariants including algebraic polynomials and topological indices related to the structure of molecules. Hosoya polynomial is a distance based closed form several indices. This article devoted compute two different atomic configurations (C4C8(R) C4C8(S)) C4C8 Carbon Nanosheets. nanosheets most stable, flexible unif...

In the language of mathematical chemistry, Fibonacci cubes can be defined as the resonance graphs of fibonacenes. Lucas cubes form a symmetrization of Fibonacci cubes and appear as resonance graphs of cyclic polyphenantrenes. In this paper it is proved that the Wiener index of Fibonacci cubes can be written as the sum of products of four Fibonacci numbers which in turn yields a closed formula f...

Biological invasions, resulting from deliberate and unintentional species transfers of insects, fungal and oomycete organisms, are a major consequence of globalization and pose a significant threat to biodiversity. Limiting damage by non-indigenous forest pathogens requires an understanding of their current and potential distributions, factors affecting disease spread, and development of approp...

Masanori Matsuzaki, Graham C. R. Ellis-Davies, and Haruo Kasai Division of Biophysics, Center for Disease Biology and Integrative Medicine, Graduate School of Medicine, and Center for NanoBio Integration, The University of Tokyo, Tokyo; Precursory Research Organization for Embryonic Science and Technology, Japan Science and Technology Agency, Saitama, Japan; and Department of Pharmacology and P...

The effects of spacetime quantization on black hole and big bang/big crunch singularities can be studied using new tools from (2+1)dimensional quantum gravity. I investigate effects of spacetime quantization on singularities of the (2+1)-dimensional BTZ black hole and the (2+1)-dimensional torus universe. Hosoya has considered the BTZ black hole, and using a “quantum generalized affine paramete...