Ali Ahmad¹, Roslan Hasni^2,*, Nahid Akhter³, Kashif Elahi⁴

CMC-Computers, Materials & Continua, Vol.70, No.2, pp. 2895-2904, 2022, DOI:10.32604/cmc.2022.015644

Abstract Chemical compounds are modeled as graphs. The atoms of molecules represent the graph vertices while chemical bonds between the atoms express the edges. The topological indices representing the molecular graph corresponds to the different chemical properties of compounds. Let be are two positive integers, and be the zero-divisor graph of the commutative ring . In this article some direct questions have been answered that can be utilized latterly in different applications. This study starts with simple computations, leading to a quite complex ring theoretic problems to prove certain properties. The theory of finite commutative rings is useful due to its… More >

Han DY^1,2, YF Yang²

Phyton-International Journal of Experimental Botany, Vol.87, pp. 113-122, 2018, DOI:10.32604/phyton.2018.87.113

Abstract Rapid and precise assessment of biodiversity is a central issue in conservation biology and biodiversity science. Higher taxonomic units and life form-based morphospecies were utilised to assess plant diversity patterns at the habitat scale in temperate meadow steppe, Songnen Plain, China. Patch area, taxonomic composition (families and genera) and life form (based on Raunkiaer’s life forms, and stem and root growth forms) were recorded in five communities. Taxonomic unit-based hierarchical diversity indices (HDI) and life form-based hierarchical diversity indices (HLDI) were calculated. Twenty-six families, 67 genera, and 87 species were recorded in the five communities. HDI and HLDI were significantly… More >