An improved randomized approximation algorithm for maximum triangle packing
نویسندگان
چکیده
منابع مشابه
An Improved Randomized Approximation Algorithm for Maximum Triangle Packing
This paper deals with the maximum triangle packing problem. For this problem, Hassin and Rubinstein gave a randomized polynomial-time approximation algorithm that achieves an expected ratio of 43 83 (1− ) (≈ 0.518(1− )) for any constant > 0. By modifying their algorithm, we obtain a new randomized polynomial-time approximation algorithm for the problem which achieves an expected ratio of 0.5257...
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We present a randomized ( 89 169 − )-approximation algorithm for the weighted maximum triangle packing problem, for any given > 0. This is the first algorithm for this problem whose performance guarantee is better than 1 2 . The algorithm also improves the best-known approximation bound for the maximum 2-edge path packing problem. © 2005 Elsevier B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2009
ISSN: 0166-218X
DOI: 10.1016/j.dam.2008.11.009