code: @Override
      public DeleteMethodResult deleteMethod(DeleteMethodRequest request) {
          request = beforeClientExecution(request);
          return executeDeleteMethod(request);
      }
docs: <p>
  Deletes an existing <a>Method</a> resource.
  </p>
  
  @param deleteMethodRequest
  Request to delete an existing <a>Method</a> resource.
  @return Result of the DeleteMethod operation returned by the service.
  @throws UnauthorizedException
  The request is denied because the caller has insufficient permissions.
  @throws NotFoundException
  The requested resource is not found. Make sure that the request URI is correct.
  @throws TooManyRequestsException
  The request has reached its throttling limit. Retry after the specified time period.
  @throws ConflictException
  The request configuration has conflicts. For details, see the accompanying error message.
  @sample AmazonApiGateway.DeleteMethod