On the complexity of finding the chromatic number of a recursive graph. I: The bounded case (Q1825865)
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scientific article; zbMATH DE number 4121984
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the complexity of finding the chromatic number of a recursive graph. I: The bounded case |
scientific article; zbMATH DE number 4121984 |
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On the complexity of finding the chromatic number of a recursive graph. I: The bounded case (English)
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1989
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We study the difficulty of computing the chromatic number (respectively, the recursive chromatic number) of a recursive graph, given a bound on that number. We show that a logarithmic number of queries to an oracle for the halting problem (respectively, the third level of the arithmetic hierarchy) are necessary and sufficient. These results are tight with respect to both parameters: number of queries and power of oracle.
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oracle query
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chromatic number
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recursive graph
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halting problem
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arithmetic hierarchy
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number of queries
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power of oracle
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