Using shortcut edges to maximize the number of triangles in graphs

نویسندگان

  • Sina Dehghani
  • MohammadAmin Fazli
  • Jafar Habibi
  • Sadra Yazdanbod
چکیده

In this paper, we consider the following problem: given an undirected graph G = (V , E) and an integer k, find I ⊆ V 2 with |I| ≤ k in such a way that G = (V , E ∪ I) has the maximum number of triangles (a cycle of length 3). We first prove that this problem is NP-hard and then give an approximation algorithm for it. © 2015 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Oper. Res. Lett.

دوره 43  شماره 

صفحات  -

تاریخ انتشار 2015