TY - BOOK AU - Arlinghaus,William C. TI - The classification of minimal graphs with given abelian automorphism group T2 - Memoirs of the American Mathematical Society, SN - 9781470407438 (online) AV - QA3QA166 .A57 no. 330 U1 - 510 s511/.5 19 PY - 1985/// CY - Providence, R.I., USA PB - American Mathematical Society KW - Graph theory KW - Abelian groups KW - Automorphisms N1 - "Volume 57, number 330 (second of 6 numbers)."; Includes bibliographical references and index; 1. A historical perspective; 2. $F$-diagrams of graphs; 3. Commutativity lemmas; 4. Construction of Meriwether graphs; 5. Cyclic groups of prime power order; 6. Meriwether's theorem; 7. $P$-groups as automorphism groups of graphs; 8. The general case; Appendix A. Candidates for minimal graphs; Appendix B. Variations of commutativity lemmas; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0330 UR - http://dx.doi.org/10.1090/memo/0330 ER -