Face 2-Colourable Triangular Embeddings of Complete Graphs

Journal of Combinatorial Theory. Series B

Volumn 74, Issue 1, 1998, Pages 8-19

  Grannell, M J ^a   Griggs, T S ^a   Širáň, Jozef ^b  

^a UNIVERSITY OF CENTRAL LANCASHIRE   (United Kingdom)

^b SLOVAK UNIVERSITY OF TECHNOLOGY   (Slovakia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001938645     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1006/jctb.1998.1826     Document Type: Article

References (11)

1. Alpert S. R. Twofold triple systems and graph imbeddings. J. Combin. Theory Ser. A. 18:1975;101-107.
2. Anderson I. Triples, current graphs and biembeddings. Aequationes Math. 24:1982;230-242.
3. Garman B. L., Ringeisen R. D., White A. T. On the genus of strong tensor products of graphs. Canad. J. Math. 28:1976;523-532.
4. M. J. Grannell, T. S. Griggs, J. Širáň, Surface embeddings of Steiner triple systems, J. Combin. Designs.
5. Gross J. L., Tucker T. W. Topological Graph Theory. 1987;Wiley, New York.
6. Lawrencenko S., Negami S., White A. T. Three nonisomorphic triangulations of an orientable surface with the same complete graph. Discrete Math. 135:1994;367-369.
7. Ringel G. Map Color Theorem. 1974;Springer-Verlag, New York/Berlin.
8. Street A. P., Wallis W. D. Combinatorial Theory: An Introduction. 1977;Charles Babbage Research Centre, Winnipeg.
9. White A. T. Block designs and graph imbeddings. J. Combin. Theory Ser. B. 25:1978;166-183.
10. White A. T. Efficient imbeddings of finite projective planes. Proc. London Math. Soc. (3). 70:1995;33-55.
11. Youngs J. W. T. The mystery of the Heawood conjecture. Graph Theory and its Applications. 1970;Academic Press, New York. p. 17-50.