We survey vertex minimal graphs with prescribed automorphism group. Whenever possible, we also investigate the construction of such minimal graphs, confirm minimality, and prove a given graph has the correct automorphism group.
Date of publication
Stephen Graves, Ph.D.; Christy Graves, Ph.D.; Lindsey-Kay Lauderdale, Ph.D.
Master of Science in Mathematics
Woodruff, Jessica Alyse, "A Survey of Graphs of Minimum Order with Given Automorphism Group" (2016). Math Theses. Paper 6.