The smallest hard-to-color graph for algorithm DSATUR
نویسندگان
چکیده
For a given approximate coloring algorithm a graph is said to be slightly hard-to-color (SHC) if some implementation of the algorithm uses more colors than the chromatic number. Similarly, a graph is said to be hard-to-color (HC) if every implementation of the algorithm results in a non-optimal coloring. In the paper, we study the smallest of such graphs for the DSATUR vertex coloring algorithm. c © 2001 Elsevier Science B.V. All rights reserved.
منابع مشابه
الگوریتم ژنتیک با جهش آشوبی هوشمند و ترکیب چند‌نقطه‌ای مکاشفه‌ای برای حل مسئله رنگ‌آمیزی گراف
Graph coloring is a way of coloring the vertices of a graph such that no two adjacent vertices have the same color. Graph coloring problem (GCP) is about finding the smallest number of colors needed to color a given graph. The smallest number of colors needed to color a graph G, is called its chromatic number. GCP is a well-known NP-hard problems and, therefore, heuristic algorithms are usually...
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عنوان ژورنال:
- Discrete Mathematics
دوره 236 شماره
صفحات -
تاریخ انتشار 2001