Let Sg be the orientable surface of genus g. We show that the number of edgelabelled cubic multigraphs embeddable on Sg with m = 3k edges is asymptotically dgγ −mm5/2(g−1)−1m!, where γ−1 = √ 79 3 2 −1/3 and cg is a constant only dependent on the genus.

A modeling framework was proposed to investigate the impact of trans-boundary air pollutant transport on regional air quality. This was based on a combination of the HYSPLIT trajectory model, the CAMx air quality model, and the MM5 meteorological model. The examination of atmospheric PM10 pollution in Guangzhou within the Pearl River Delta (PRD) region of southern China was used as a case study...

Simulations, made with the fifth-generation Pennsylvania State University (PSU)–National Center for Atmospheric Research (NCAR) Mesoscale Model (MM5), of the response of the marine atmospheric boundary layer (MABL) as air moves over a sharp SST front are compared with observations made during the Frontal Air–Sea Interaction Experiment (FASINEX) in the North Atlantic subtropical convergence zone...

Meteorological models in conjunction with air quality models are being used to simulate the transport and fate of pollutants in the atmosphere. Hence, there is a need for an extensive evaluation of the entire modeling system. In this study, several new techniques to assess the performance of mesoscale meteorological models are introduced with an emphasis on evaluating the variables and processe...

DIAL methodology is analyzed for developing a forward observation operator and an error covariance matrix for 4-d variational assimilation of water vapor data into mesoscale models. The operator is applied to data of the LASE system which were collected during the IHOP_2002 campaign. The assimilation effort will be performed using the MM5 model nested into an ECMWF analysis. The goal of this pr...