1. Introduction
2. Observations and Data Reduction
2.1. Sample Selection
2.2. Data from the Submillimeter Array
2.3. Published and Archival Single-Dish Data
2.4. Comparison of Interferometric and Single-Dish Fluxes
3. The Gas-to-Dust Mass Ratio in the Nuclear Regions
3.1. Gas and Dust Mass Calculations
3.2. Uncertainties in Gas and Dust Masses
3.3. Total Gas and Dust Masses from SMA Data
3.4. Gas and Dust Masses in the Central Kiloparsec
3.5. Possible Variations in Gas and Dust Properties
4. Correlations between Gas and Dust Properties in the Sample
4.1. Testing for Correlations
4.2. Does the Central Gas Surface Density Correlate with \(L_{\mathrm{FIR}}/M_{\mathrm{H_{2}}}\)?
5. Conclusions