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Genus distribution of graphs under surgery: adding edges and splitting vertices (2010)

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by Jonathan L. Gross
Citations:9 - 8 self
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BibTeX

@MISC{Gross10genusdistribution,
    author = {Jonathan L. Gross},
    title = {Genus distribution of graphs under surgery: adding edges and splitting vertices },
    year = {2010}
}

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Abstract

Citations

239 Topological graph theory - Gross, Tucker - 2001
161 Graphs on Surfaces - Mohar, Thomassen - 2001
35 Determination of all regular maps of small genus - Conder, Dobcsányi
26 Genus distributions for bouquets of circles - Gross, Robbins, et al. - 1989
22 Hierarchy for imbedding-distribution invariants of a graph - Gross, Furst - 1987
21 The Foundations of Topological Graph Theory - Bonnington, Little - 1995
20 Genus distribution for two classes of graphs - Furst, Gross, et al. - 1989
17 Counting cycles in permutations by group characters, with an application to a topological problem - Jackson - 1987
17 Total embedding distributions for bouquets of circles - Kwak, Shim
16 Enumerating the orientable 2-cell imbeddings of complete bipartite graphs, J.Graph Theory, vol 30 - Mull
15 Siráň, Exponential families of non-isomorphic triangulations of complete graphs - Bonnington, Grannell, et al.
15 Genus distribution of Ringel ladders - Tesar
15 Orientable embedding genus distribution for certain types of graphs - Wan, Liu - 2008
14 Genus polynomials of dipoles - Kwak, Lee - 1993
13 Enumeration of graph embeddings - Kwak, Lee - 1994
13 Algorithms for two graph problems: computing maximum-genus imbedding and the two-server problem - McGeoch - 1987
13 Region distributions of graph embeddings and Stirling numbers - Stahl - 1990
12 Orientable embedding distributions by genus for certain types of graphs, Ars Combin - Wan, Liu
11 Permutation-partition pairs III: Embedding distributions of linear families of graphs - Stahl - 1991
10 Genus distributions of cubic outerplanar graphs - Gross
10 Region distributions of some small diameter graphs - Stahl - 1991
9 Overlap matrices and total imbedding distributions, Discrete Math - Chen, Gross, et al. - 1994
9 Triangular embeddings of complete graphs from graceful labellings of paths, Preprint submitted to Elsevier Science - Goddyn, Siran - 2006
9 Genus distribution of graph amalgamations: pasting at root-vertices, Ars Combinatoria 94 - Gross, Khan, et al. - 2010
9 An atlas of the smaller maps in orientable and nonorientable surfaces, Chapman & Hall/CRC - Jackson, Visentin - 2000
8 The total embedding distributions of cacti and necklaces - Chen, Liu, et al.
8 A lower bound for the number of triangular embeddings of some complete graphs and complete regular tripartite graphs - Grannell, Griggs
8 Genus distribution of graph amalgamations: Self-pasting at root-vertices - Gross - 2011
8 Exponential families of non-isomorphic nontriangular orientable genus embeddings of complete graphs - Korzhik, Voss
8 On the genus distribution of (p, q, n)-dipoles - Visentin, Wieler
7 Genus distribution of graph amalgamations: Pasting when one root has arbitrary degree - Khan, Poshni, et al.
6 A character-theoretic approach to embeddings of rooted maps in an orientable surface of given genus - Jackson, Visentin - 1990
3 Genus distribution of edge-amalgamations - Poshni, Khan, et al.
3 Theory A - Riordan, Combin - 1975
1 Graphs of Groups on Surfaces, North-Holland, 2001. Version: 09:47 - White
1 Zbl 0643.05026. [GKP10] [GRT89] [GT87] [Jac87] [JV90] [JV01] [KPG10 - MR0889353 - 2010
1 Enumeration of graph embeddings. Discrete Math. 135 - Kwak, Lee - 1994
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