Bounds on the number of vertex independent sets in a graph (Q2372400)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds on the number of vertex independent sets in a graph |
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Bounds on the number of vertex independent sets in a graph (English)
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26 July 2007
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The authors prove best-possible upper and lower bounds for the number of all independent sets in general and regular graphs, forests without isolated vertices, bipartite graphs, unicyclic graphs and claw-free graphs. In several cases paths turn out to be the extremal structure and hence the Fibonacci numbers count the independent sets.
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independent set
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Fibonacci numbers
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Merrifield-Simmons
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Hosoya
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claw-free
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unicyclic
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