On Nontrivial Covers and Partitions of Graphs by Convex Sets

In this paper we prove that it is NP-complete to decide whether a graph can be partitioned into nontrivial convex sets. We show that it can be verified in polynomial time whether a graph can be covered by nontrivial convex sets. Also, we propose a recursive formula that establishes the maximum nontr...

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Bibliographic Details
Main Authors: Radu Buzatu, Sergiu Cataranciuc
Format: Article
Language:English
Published: Institute of Mathematics and Computer Science of the Academy of Sciences of Moldova 2018-05-01
Series:Computer Science Journal of Moldova
Subjects:
Online Access:http://www.math.md/files/csjm/v26-n1/v26-n1-(pp3-14).pdf