A new characterization of the maximum genus of a graph

 Access to full text

 Full (PDF)

1. I. Anderson, 10.1016/0095-8956(71)90041-4, J. Combinatorial Theory 10 В (1971), 183-186. (1971) Zbl0172.48904MR0276105DOI10.1016/0095-8956(71)90041-4
2. M. Behzad G. Chartrand, L. Lesniak-Foster, Graphs & Digraphs, Prindle, Weber & Schmidt, Boston 1979. (1979) MR0525578
3. R. A. Duke, 10.4153/CJM-1966-081-6, Canad. J. Math. 18 (1966), 817-822. (1966) Zbl0141.21302MR0196731DOI10.4153/CJM-1966-081-6
4. J. Edmonds, D. R. Fulkerson, 10.6028/jres.069B.016, J. Res. Nat. Bur. Stand. В 69 (1965), 147-153. (1965) Zbl0141.21801MR0188090DOI10.6028/jres.069B.016
5. F. Harary, Graph Theory, Addison-Wesley, Reading (Mass.) 1969. (1969) Zbl0196.27202MR0256911
6. N. P. Homenko, Method of $$-transformations and some its applications, (in Ukrainian, English summary). -peretvorennya grafiv (N. P. Homenko, ed.). IM AN URSR, Kiev 1973, pp. 35-96. (1973) MR0411995
7. N. P. Homenko N. A. Ostroverkhy, V. A. Kusmenko, The maximum genus of a graph, (in Ukrainian, EngHsh summary). (-peretvorennya grafiv (N. P. Homenko, ed.). IM AN URSR, Kiev 1973, pp. 180-210. (1973) 
8. M. Jungerman, A characterization of upper embeddable graphs, Trans. Amer. Math. Soc. 241 (1978), 401-406. (1978) Zbl0379.05025MR0492309
9. E. A. Nordhaus R. D. Ringeisen В. M. Stewart, and A. T. White, 10.1016/0095-8956(72)90040-8, J. Combinatorial Theory 12 В (1972), 260-267. (1972) MR0299523DOI10.1016/0095-8956(72)90040-8
10. E. A. Nordhaus В. M. Stewart, and A. T. White, 10.1016/0095-8956(71)90036-0, J. Combinatorial Theory 11 В (1971), 258-267. (1971) MR0286713DOI10.1016/0095-8956(71)90036-0
11. R. D. Ringeisen, 10.1002/jgt.3190030102, J. Graph Theory 3 (1979), 1-13. (1979) Zbl0398.05029MR0519169DOI10.1002/jgt.3190030102
12. G. Ringel, Map Color Theorem, Springer-Verlag, Berlin 1974. (1974) Zbl0287.05102MR0349461
13. W. T. Tutte, On the problem of decomposing a graph into n connected factors, J. London Math. Soc. 36 (1961), 221-230. (1961) Zbl0096.38001MR0140438
14. A. T. White, Graphs of groups on surfaces, In: Combinatorial Surveys: Proceedings of the Sixth British Combinatorial Conference (P. J. Cameron, ed.). Academic Press, London 1977, pp. 165-197. (1977) Zbl0378.05028MR0491290
15. R. J. Wilson, Introduction to Graph Theory, Longman, London 1972. (1972) Zbl0249.05101MR0826772
16. N. H. Xuong, 10.1016/0095-8956(79)90058-3, J. Combinatorial Theory 26 В (1979), 217-225. (1979) Zbl0403.05035MR0532589DOI10.1016/0095-8956(79)90058-3
17. J. W. T. Youngs, Minimal embeddings and the genus of a graph, J. Math. Mech. 12 (1963), 303-315. (1963) MR0145512

1. Ladislav Nebeský, Upper embeddable factorizations of graphs
2. Ladislav Nebeský, A note on upper embeddable graphs
3. Ladislav Nebeský, On upper embeddability of complementary graphs
4. Ladislav Nebeský, Characterizing the maximum genus of a connected graph
5. Ladislav Nebeský, On 2-cell embeddings of graphs with minimum numbers of regions
6. Ladislav Nebeský, Certain cubic multigraphs and their upper embeddability
7. Martin Škoviera, The decay number and the maximum genus of a graph
8. Yuanqiu Huang, Yan Pei Liu, Face size and the maximum genus of a graph. II: Nonsimple graphs
9. Ladislav Nebeský, On locally quasiconnected graphs and their upper embeddability
10. Hung-Lin Fu, Martin Škoviera, Ming-Chun Tsai, The maximum genus, matchings and the cycle space of a graph