publications

- V.I. Trofimov, Automorphisms of graphs and a characterization of lattices, Math. USSR Izv., 22 (1984), 379-392.
- V.I. Trofimov, Graphs with polynomial growth, Math. USSR Sb., 51, No. 2 (1985), 405-417.
- V.I. Trofimov, Automorphism groups of graphs as topological groups, Math. Notes, 38 (1985), 717-720.
- V.I. Trofimov, The action of a group on a graph, Math. USSR Izv., 29 (1987), 429-448.
- V.I. Trofimov, Influence of the structure of a graph on its automorphisms, Algebra and Logic, 27 (1988), 141-152.
- V.I. Trofimov, Asymptotic behavior of automorphisms of graphs, Math. USSR Sb., 62 (1989), 277-287.
- V.I. Trofimov, Action of primitive groups, Algebra and Logic, 28 (1989), 220-238.
- V.I. Trofimov, Certain asymptotic characteristics of groups, Math. Notes, 46 (1990), 945-951.
- V.I. Trofimov, Stabilizers of the vertices of graphs with projective suborbits, Soviet Math. Dokl., 42 (1991), 825-828.
- V.I. Trofimov, On the action of a group on a graph, Acta Appl. Math., 29 (1992), 161-170.
- V.I. Trofimov, Graphs with projective suborbits, Math. USSR Izvestiya, 39 (1992), 869-893.
- V.I. Trofimov, Graphs with projective suborbits. Cases of small characteristics. I, Russian Acad. Sci. Izv. Math., 45 (1995), 353-398.
- V.I. Trofimov, Graphs with projective suborbits. Cases of small characteristics. II, Russian Acad. Sci. Izv. Math., 45 (1995), 559-576.
- V.I. Trofimov and R. Weiss, Graphs with a locally linear group of automorphisms, Math. Proc. Cambridge Phil. Soc., 118 (2) (1995), 191-206.
- N. Seifter and V.I. Trofimov, Automorphism groups of covering graphs, J. Combin. Theory. Ser. B, 71, No. 1 (1997), 67-72.
- N. Seifter and V.I. Trofimov, Automorphism groups of graphs with quadratic growth, J. Combin. Theory. Ser. B, 71, No. 2 (1997), 205-210.
- A.S. Kondratiev and V.I. Trofimov, Vertex stabilizers of of finite symmetric graphs and a strong version of the Sims conjecture. Preprint NI 97014. Isaac Newton Institute for Mathematical Sciences, Cambridge, 1997, 10 p.
- V.I. Trofimov, The existence of nonconstant harmonic functions on infinite vertex-symmetric graphs, Europ. J. Combin., 19 (1998), 519-523.
- V.I. Trofimov, Graphs with projective suborbits. Exceptional cases in characteristic 2. I, Izv. Math., 62:6 (1998), 1221-1279.
- V.I. Trofimov, Graphs with projective suborbits. Exceptional cases in characteristic 2. II, Izv. Math., 64:1 (2000), 173-192.
- V.I. Trofimov, Kernels of van den Dries - Wilkie homomorphisms and o-automorphisms of graphs, J. Algebra, 226 (2000), 967-976.
- V.I. Trofimov, Graphs with projective suborbits. Exceptional cases in characteristic 2. III, Izv. Math., 65:4 (2001), 787-822.
- V.I. Trofimov, On a property of Urysohn's universal metric space, Math. Notes, 69 (2001), 288-289.
- V.I. Trofimov, Undirected and directed graphs with near polynomial growth, Dis. Math. Graph Theory, 23 (2003), 383-391.
- V.I. Trofimov, Graphs with projective suborbits. Exceptional cases in characteristic 2. IV, Izv. Math., 67:6 (2003), 1267-1294.
**V.I. Trofimov, Vertex stabilizers of locally projective groups of automorphisms of graphs: a summary. In: Groups, Combinatorics and Geometry (Durham 2001), A. Ivanov, M. Liebeck and J. Saxl eds., World Sci. Publ. Co., 2003, 313-326.**

Last update: 28.11.2005 |