There is no difference in the way self-referencing loops are handled in ASP.NET 4 compared to ASP.NET Core (previously Asp.Net 5). The principles outlined in the question you referenced in your post still apply. However, setting this property in ASP.NET Core is obviously slightly different, given the new method of configuring and bootstrapping the app:
public void ConfigureServices(IServiceCollection services)
{
services.AddMvc().AddJsonOptions(options => {
options.SerializerSettings.ContractResolver = new CamelCasePropertyNamesContractResolver();
options.SerializerSettings.ReferenceLoopHandling = ReferenceLoopHandling.Ignore;
});
services.AddEntityFramework().AddSqlServer().AddDbContext<IvoryPacketDbContext>(
options => options.UseSqlServer(Configuration["Data:DefaultConnection:ConnectionString"])
);
}