Academic Journal
Genus distribution of graph amalgamations: pasting when one root has higher degree
| Title: | Genus distribution of graph amalgamations: pasting when one root has higher degree |
|---|---|
| Authors: | Imran F. Khan, Mehvish I. Poshni, Jonathan L. Gross |
| Contributors: | The Pennsylvania State University CiteSeerX Archives |
| Superior Title: | http://www.cs.columbia.edu/%7Egross/research/N2VAmalgKPG-AMC.pdf. |
| Publication Year: | 2010 |
| Collection: | CiteSeerX |
| Subject Terms: | Graph, genus distribution, vertex-amalgamation. Math. Subj. Class, 05C10 |
| Description: | This paper concerns counting the imbeddings of a graph in a surface. In the first installment of our current work, we showed how to calculate the genus distribution of an iterated amalgamation of copies of a graph whose genus distribution is already known and is further analyzed into a partitioned genus distribution (which is defined for a double-rooted graph). Our methods were restricted there to the case with two 2-valent roots. In this sequel we substantially extend the method in order to allow one of the two roots to have arbitrarily high valence. |
| Document Type: | text |
| File Description: | application/pdf |
| Language: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.179.3146; http://www.cs.columbia.edu/%7Egross/research/N2VAmalgKPG-AMC.pdf |
| Availability: | http://www.cs.columbia.edu/%7Egross/research/N2VAmalgKPG-AMC.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| Accession Number: | edsbas.1F3E22D6 |
| Database: | BASE |
| Description not available. |