Recurrence Relations and Splitting Formulas for the Domination Polynomial
Keyword(s):
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.
2013 ◽
Vol 16
(3)
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1983 ◽
Vol 6
(1)
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pp. 171-180
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2012 ◽
Vol 44
(3)
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pp. 842-873
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The truncated Hyper-Poisson queues: Hk/Ma,b/C/N with balking, reneging and general bulk service rule
2008 ◽
Vol 18
(1)
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pp. 23-36
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On Sums of Cubes of Generalized Fibonacci Numbers: Closed Formulas of Σn k=0 kW3 k and Σn k=1 kW3− k
2020 ◽
pp. 37-52
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2012 ◽
Vol 9
(1)
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pp. 357-380
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