Recurrence relations are derived for the numbers of labeled 3-regular graphs with given connectivity, order, number of double edges, and number of loops. This work builds on methods previously developed by Read, Wormald, Palmer, and Robinson. © 2007 Elsevier B.V. All rights reserved. MSC: 05A15
Gab-Byung Chae, Edgar M. Palmer, Robert W. Robinso