Surgical techniques for construction minimal orientable imbeddings and joins and compositions of graphs

[1]  Mark Jungerman.  The genus of the symmetric quadripartite graph , 1975 .

[2]  Saul Stahl,et al.  The embeddings of a graph - A survey , 1978, J. Graph Theory.

[3]  Saul Stahl.  Permutation-partition pairs. II. Bounds on the genus of the amalgamation of graphs , 1982 .

[4]  Arthur T. White,et al.  The genus of repeated cartesian products of bipartite graphs , 1970 .

[5]  Gerhard Von Ringel.  Farbensatz für orientierbare Flächen vom Geschlechte p>0. , 1954 .

[6]  André Bouchet.  Orientable and nonorientable genus of the complete bipartite graph , 1978, J. Comb. Theory, Ser. B.

[7]  A. Kempe.  How to Colour a Map with Four Colours , 1880, Nature.

[8]  William Gustin,et al.  Orientable embedding of Cayley graphs , 1963 .

[9]  André Bouchet,et al.  Triangular imbeddings into surfaces of a join of equicardinal independent sets following an Eulerian graph , 1978 .

[10]  Dan Archdeacon,et al.  The orientable genus is nonadditive , 1986, J. Graph Theory.

[11]  G. Ringel.  Über drei kombinatorische Probleme amn-dimensionalen Würfel und Würfelgitter , 1955 .

[12]  P. J. Heawood.  Map-Colour Theorem , 1949 .

[13]  Arthur T. White,et al.  ON THE GENUS OF THE COMPOSITION OF TWO GRAPHS , 1972 .

[14]  Saul Stahl,et al.  Genus embeddings for some complete tripartite graphs , 1976, Discret. Math..

[15]  Noga Alon,et al.  The Probabilistic Method , 2015, Fundamentals of Ramsey Theory.

[16]  Jean-Claude Bermond,et al.  Decomposition of the complete directed graph into k-circuits , 1976, J. Comb. Theory B.

[17]  DAN ARCHDEACON.  The Genus of Amalgamations , 1989 .

[18]  G. A. Asmerom,et al.  Graph Products and Covering Graph Imbeddings , 1990 .

[19]  S. R. Alpert.  The genera of amalgamations of graphs , 1973 .

[20]  L. Heffter.  Ueber das Problem der Nachbargebiete , 1891 .

[21]  L. Beineke,et al.  The Genus of the n-Cube , 1965, Canadian Journal of Mathematics.

[22]  Brian L. Garman,et al.  Cayley Graph Imbeddings and the Associated Block Designs , 1976 .

[23]  André Bouchet,et al.  Some cases of triangular imbeddings for Kn(m) , 1976, J. Comb. Theory, Ser. B.

[24]  Tomaz Pisanski.  Nonorientable genus of cartesian products of regular graphs , 1982, J. Graph Theory.

[25]  F. Harary,et al.  Additivity of the genus of a graph , 1962 .

[26]  A. White.  Graphs, Groups and Surfaces , 1973 .

[27]  G. Ringel.  Das Geschlecht des vollständigen paaren Graphen , 1965 .

[28]  A. Kempe.  On the Geographical Problem of the Four Colours , 1879 .

[29]  G. Ringel.  Map Color Theorem , 1974 .

[30]  Timothy W. Tillson.  A Hamiltonian decomposition of K2m*, 2m >= 8 , 1980, J. Comb. Theory B.