Regular embeddings of complete multipartite graphs

European Journal of Combinatorics - Tập 26 - Trang 505-519 - 2005
Shao-Fei Du1, Jin Ho Kwak2, Roman Nedela3
1Mathematics, Capital Normal University, Beijing 100037, China
2Mathematics, Pohang University of Science and Technology, Pohang, 790-784, Republic of Korea
3Institute of Mathematics, Slovak Academy of Sciences, Banská Bystrica, Slovakia

Tài liệu tham khảo

Biggs, 1971, Classification of complete maps on orientable surfaces, Rend. Mat., 4, 132 Biggs, 1979, vol. 33 Chao, 1971, On the classification of symmetric graphs with a prime number of vertices, Trans. Amer. Math. Soc., 158, 247, 10.1090/S0002-9947-1971-0279000-7 Dickson, 19011958 Gross, 1987 Heffter, 1898, Über metacyklische Gruppen und Nachbarconfigurationen, Math. Ann., 50, 261, 10.1007/BF01448067 Huppert, 1967 James, 1985, Regular orientable imbeddings of complete graphs, J. Combin. Theory Ser. B, 39, 353, 10.1016/0095-8956(85)90060-7 Jones, 1978, Theory of maps on orientable surfaces, Proc. London Math. Soc. (3), 37, 273, 10.1112/plms/s3-37.2.273 Lorimer, 1984, Vertex-transitive graphs: symmetric graphs of prime valency, J. Graph Theory, 8, 55, 10.1002/jgt.3190080107 Nedela, 1996, Regular maps of canonical double coverings of graphs, J. Combin. Theory Ser. B, 67, 249, 10.1006/jctb.1996.0044 Nedela, 1997, Regular maps from voltage assignments and exponent groups, European J. Combin., 18, 807, 10.1006/eujc.1996.0138 Nedela, 2002, Regular embeddings of complete bipartite graphs, Discrete Math., 258, 379, 10.1016/S0012-365X(02)00539-3 Sabidussi, 1960, Graph multiplication, Math. Z., 72, 446, 10.1007/BF01162967 Suzuki, 1982 Wielandt, 1964