On the Complexity of Finding the Chromatic Number of a Recursive Graph II: The Unbounded Case
نویسندگان
چکیده
William I. Gasarch Department of Computer Science Institute for Advanced Study University of Maryland College Park, MD 20742 ABSTRACT A recursive graph is a graph whose edge set and vertex set are both recursive. Although the chromatic number of a recursive graph G (denoted χ(G)) cannot be determined recursively, it can be determined if queries to the halting set are allowed. We show that the problem of determining the chromatic number of a recursive graph with a minimum number of queries to the halting set, is closely related to the unbounded search problem. In particular if f is a non-decreasing function such that ∑
منابع مشابه
On the Complexity of Finding the Chromatic Number of a Recursive Graph I: The Bounded Case
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عنوان ژورنال:
- Ann. Pure Appl. Logic
دوره 45 شماره
صفحات -
تاریخ انتشار 1989