| Autor: |
Kotek, Tomer, Preen, James, Simon, Frank, Tittmann, Peter, Trinks, Martin |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
The Electronic Journal of Combinatorics 19(3) (2012) #P47 |
| Druh dokumentu: |
Working Paper |
| Popis: |
The domination polynomial D(G,x) of a graph G is the generating function of its dominating sets. We prove that D(G,x) satisfies a wide range of reduction formulas. We show linear recurrence relations for D(G,x) for arbitrary graphs and for various special cases. We give splitting formulas for D(G,x) based on articulation vertices, and more generally, on splitting sets of vertices. |
| Databáze: |
arXiv |
| Externí odkaz: |
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