Geodesic
Genus distributions of graphs under edge-amalgamations
Ars Mathematica Contemporanea, Tome 3 (2010) no. 1, pp. 69-86.

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We present a general method for calculating the genus distributions of those infinite families of graphs that are obtained by iteratively amalgamating copies of some base graphs along their root-edges. We presume that the partitioned genus distributions of these base graphs are known and that their root-edges have 2-valent endpoints. We analyze and adapt the use of recombinant strands, partials, and productions for deriving simultaneous recurrences for genus distributions.
DOI : 10.26493/1855-3974.110.6b6
Keywords: genus, genus distribution, edge-amalgamation 
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Mehvish I. Poshni; Imran F. Khan; Jonathan L. Gross. Genus distributions of graphs under edge-amalgamations. Ars Mathematica Contemporanea, Tome 3 (2010) no. 1, pp. 69-86. doi : 10.26493/1855-3974.110.6b6. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.110.6b6/

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